SYSTEM FOR CONSTRICTING A TUBE WALL

Abstract: An apparatus for constricting an end of a metallic tube (or worktube) to form an arcuate-walled portion that has an outer surface is provided. The apparatus comprises a means (2) for rotating the tube (7) on its axis, a movable means (4A, 4B) for heating an end portion of the tube, and a forming rolling means (6, 8). The forming rolling means includes a forming roller (78) adapted for applying pressure on the end portion of the tube along successive lines of contact to constrict progressively the end of the tube. The movement of the forming rolling means is orchestrated with the movement of the means of heating. In a preferred embodiment, each line of contact has a substantially straight portion.

Description: SYSTEM FOR CONSTRICTING A TUBE WALL A portion of the disclosure of this patent document contains material which is subject to copyright protection. The copyright owner has no objection to the facsimile reproduction by any one of the patent disclosure, as it appears in the Patent and Trademark Office patent files or records, but otherwise reserves all copyright rights whatsoever. FIELD OF THE INVENTION The present invention relates to an apparatus and method for constricting and changing the shape of cylindrical metallic tubes. BACKGROUND OF THE INVENTION Most tanks and vessels are manufactured in accordance with specific codes and standards, e.g., ASME Boilers & Pressure Vessel Code, DOT Code, AAR Code, and the like. To meet these standards, some vessels are manufactured by certain accepted methods. For thick-walled vessels, hollow cylindrical structures such as metallic tubes have been constricted at the ends to form vessels and tanks, such as high pressure tanks and fire extinguishers. One method of constricting the ends of hollow cylindrical structures to form high pressure tanks is by rotating the cylindrical structure, heating the end portions thereof and applying pressure on that heated end portions. For example, U.S. Patent No. 2,699,596 (Aronson) discloses a process for making gas pressure cylinders by heating the side walls of a tube and spinning metal from the side walls into the bottom of the pressure vessel. Similarly, U.S. Patent No. 2,408,596 (Bednar et al . ) discloses a method for forming cylinder ends by torch-heating, rotating, and applying pressure to a cylindrical work piece. Pressure is applied by a tool moving in arcuate paths. U.S. Patent No. 2,406,059 (Burch) discloses a process for spinning hollow articles suitable for closing the end of a tube. The end portion of the tube is heated by a heating means such as an oxy-acetylene flame. Pressure is applied by means of a flat-faced tool to the end portion of the tube to close it. Manfred Runge in "Spinning and Flow Forming, " Verlag Moderne Industrie, 1994, discloses hot spinning to close thick-walled tubes for making high-pressure gas bottles. In such hot spinning on thick-walled tubes, induction coil is described as usable for preheating a tube. When spinning, gas burners are used for compensating for heat loss by the tube. Cold spinning using mandrels is also disclosed. Such a method can be used for making large thin-walled tank ends. While spinning using mandrels can be employed to make thin-walled tank heads (or ends) , such tank heads must be welded to each other or to a tube to result in a closed vessel since there is no good way of removing a mandrel from a closed vessel. Furthermore, in hot spinning a large, thin-walled structure, the relatively large surface area to volume ratio leads to rapid heat loss, thereby making it difficult to maintain temperature. Moreover, compressive stresses acting parallel to the surface of a thin-walled tube may bend, wrinkle, and collapse the tube because positive external pressure tends to buckle the surface. The resistance of the tube to buckling is proportional to a number ranging from the second to the third power of the tube thickness, depending on location along the tube and other factors. Thus, wrinkling and buckling is a severe problem in making thin-walled vessels. Techniques found to be useful for thick-walled vessels do not work on thin wall vessels. Forming such vessels by spinning without a mandrel is difficult. Recently, U.S. Patent No. 5,235,837 (Werner) discloses an apparatus for producing thin-walled cylindrical pressure vessels or tanks through metal spinning operations. The end caps of the vessels are formed from a hollow, thin wall cylindrical worktube . Forming rollers are moved along a plurality of arcuate stroking paths. The worktube is heated by heating torches. By controlled programming of the motion of the forming rollers, the forces applied to the worktube by the forming rollers, and the temperature of the tube, controlled distribution of the metal thickness in the knuckle zone can be accomplished. This method can provide greater thickness in the knuckle zone to strengthen it. As used herein, the term "knuckle zone" refers to the zone on the vessel at which the noncylindrical part is connected to the cylindrical part. Unfortunately, flame heating can lead to oxidation and deterioration of the metallic tube. Methods have been devised to reduce the deterioration of steel in heat spinning processes. U.S. Patent No. 3,594,894 (Mayer Jr.) discloses a method for forming a cartridge by heating a uniformly thick tubular material to a temperature slightly above the recrystallization temperature of the material and forming the material in dies heated to a temperature below the recrystallization temperature of the material . A heating means that may contain an inductive coil can be used to completely surround the ends of the tubular material and allow control of the tube temperature to a temperature slightly above its recrystallization temperature. A disk is used for sealing the end of the cartridge by welding. U.S. Patent No. 3,964,412 (Kitsuda) discloses a shaping device in a circulation system for producing a high pressure gas container by successively drawing a workpiece at a series of workstations. The workpiece is mounted on a turn table and heated by a high frequency induction heater at a stop position after the first stop position or at any subsequent stop position where the workpiece can still be drawn. Uniform heating, particularly of larger vessels, is difficult to achieve. Heating torches tend to concentrate the heat at the spots directly impinged by the flames. For heating larger tubes, many flame nozzles (or torches) will be needed. The iteration of these flame nozzles can lead to overheating and failure of adjacent nozzles. Further, open heating by flame nozzles is inefficient as a low percentage (5-10%) of the energy is transmitted to the workpiece while the rest is dissipated to the environment. If hotter but fewer flame nozzles are used, the hotter temperature will lead to accelerated deterioration of the metal. On the other hand, inductive heating has not been shown to be capable of effectively heating large metallic tubes for spinning, particularly those with large diameter to tube wall thickness ratios. SUMMARY The present invention provides an apparatus for constricting an end of a metallic tube (or worktube) to form an arcuate-walled portion that has an outer surface. The apparatus comprises a means for rotating (or spinning) the tube on its axis, a movable means for heating an end portion of the tube, and a forming rolling means. The forming rolling means includes a forming roller adapted for applying pressure on the end portion of the tube along successive lines of contact to progressively constrict the end of the tube. The movement of the forming rolling means is orchestrated with the movement of the means of heating. As used herein, the term "movable" relating to the heating means refers to either the orientation, (i.e., the direction to which the means faces) or the translational position of the means. The term "orchestrated" is used to describe the arranged movements of two or more devices relative to each other to achieve a desired effect . The devices are moved independently in a changeable harmonious relationship, i.e., the devices are not rigidly tied together in orientation or position. The term "tube" includes the tube whose end portion is being constricted, said tube having a generally tubular structure prior to constriction. In a preferred embodiment, each line of contact has a substantially straight portion. In another aspect, the invention of the present invention also provides an apparatus for inductively heating an end portion of a tube wherein the end portion progressively changes shape. The apparatus comprises an inductive coil means for heating and a means for moving at least one portion of the inductive coil means to adapt to the changing shape of the tube to heat a desired portion of the tube. The inductive coil means has an inductive coil whose orientation and position relative to the tube is reconfigurable to conform to the shape of the end portion of the tube . The present invention further provides a method of inductively heating an end portion of a metallic tube wherein the end progressively changes shape . The method, comprises positioning an inductive coil means having an inductive coil so that the inductive coil is proximate the end portion of the tube for inductive heating, producing a magnetic field using the inductive coil means, and reconfiguring the orientation of the inductive coil relative to the tube to conform to the shape of the end portion of k the tube as the tube changes shape so that the inductive coil remains proximate to the end portion of the tube for inductive heating. In another aspect, the present invention also provides a method for constricting an end of a metallic tube to form an arcuate-walled portion that has an outer surface. The method comprises rotating the tube on its axis, heating an end portion of the tube, and applying pressure on the end portion of the tube to constrict progressively the end of the tube. The pressure is applied along successive lines of contact wherein each line of contact has a substantially straight portion. In yet another aspect of the invention, the heating and application of pressure to the end portion of the tube are done in an orchestrated manner at varying locations as the tube progressively changes shape. The present invention also provides metallic tubular structures made by the methods described hereinabove. The present invention also provides a computer system for controlling a forming tool and a heating means for constricting a rotating tube. The computer system comprises a means for receiving input parameters; a means for calculating, based on the input parameters, the orientation and positions of the forming tool and the heating means for orchestrated movement of the forming tool and the heating means relative to the tube as the tube changes shape to constrict the tube; a means for displaying the information on the orientation and positions of the forming tool and the heating means; and a means for electronically communicating the calculated orientation and positions to means that move the forming tool and the heating means. The apparatus and method of the present invention can be advantageously applied to make cylindrical structures such aε tanks and containers, either thick-walled (sometimes called "thick-shelled," e.g. , having a diameter to wall thickness (D/t) ratio of about 15:1 to 50:1) or thin-walled (sometimes called "thin shelled", having a D/t ratio of greater than 50:1, e.g., greater than 100:1) . In prior art processes for making larger (e.g., greater than 12 inches (30cm) in diameter) vessels, typically the heads (i.e., the ends of the vessels) are made separately by stamping, cold spinning on mandrels, or forging and subsequently welded to the tubes . Such methods are labor-intensive and wasteful since material remaining after the stamping process is scraped. Further, if the tube is not exactly round, it may not match the round heads. The present invention obviates the need for stamping and welding the heads as well as matching the heads to the tube, thereby reducing waste and labor. Unlike the prior art processes that requires matching heads to tubes, the apparatus of the present invention can be used to make a vessel of any size within r range by starting from a rectangular sheet of metal. essels with ends of a variety of shapes (e.g., round, t-iliptical, conical, toriconical or related symmetrical shapes) can be made with the apparatus and method of the present invention. Therefore, there is no need for an inventory of tubes and heads of different shapes and dimensions. In another respect, compared to prior art spinning processes, which have been applied in making relatively small diameter (e.g., less than 10 in (25 cm)) thick-walled vessels, such aε high pressure gas cylinders and fire extinguisherε wherein the closed end portions have thicker wall than the cylindrical portions, the present invention, in addition to making cylindrical structures as prior art spinning processes, provides the advantage that it can also be used to make larger (e.g. preferably more than 16 in. (40 cm) in diameter, with typical applications ranging from 16 inches to 120 inches in diameter), thin-walled vessels. As previously stated, in making larger cylindrical structures, maintaining uniform elevated temperature for spinning is difficult. If flame nozzles (or torches) are used to heating, they have to be arranged and controlled to distribute heat evenly to reduce the risk of fire hazard and over- or under-heating. On the other hand, we have discovered that inductive heating, although posing a lesser fire hazard, cannot be simply applied to a larger cylindrical structure by increasing the size of the inductive heating means. Because thin-walled tanks cool very rapidly, we have found that heating and forming must occur simultaneously. Solenoidal coils wrapped around the tanks circumference are unsatisfactory since they restrict access of the forming roller to the outer surface of the tank. We have discovered smaller "pancake" coils can be used and applied to areas of the surface remote from the forming rollers. For example, the forming roller and induction heating pancake coil may be located on opposite sides of the spun shape. Planar induction coils (pancake coils) must be generally parallel and close to the surface being heated. We have found that for efficient heating to take place, preferably the surface of the coil iε within about 0.5 inches of the surface of the tank. Therefore, we have found that moving the induction heating coil (e.g., pancake coil) to stay closely coupled to the tank surface as the tank is formed and changes shape is very effective in heating the tank to maintain the desired temeprature . Moreover, we have found that surfaces that have abrupt changes in curvature are very difficult to heat uniformly with induction coils. In particular, heating energy is concentrated at these abrupt changes in curvature, giving rise to material failure. To overcome this problem, we developed spinning trajectories for which shapes intermediate to the beginning and ending shapes do not exhibit abrupt changes in surface curvature. This is accomplished by pressing a forming roller on the tube in successive lines of contact wherein each line of contact has a proximal endpoint more distal to the previous one. The term "spinning trajectory" refers to a pass of the forming roller which causes the end portion of the tube to change shape . Furthermore, we have developed a series of straight line trajectories that taken collectively form a compound curved surface, for example a hemisphere. Such trajectories are referred to as "tangential spinning trajectories" herein because each straight line forraing pass is tangent to the desired end shape. Thus for any straight line pass the part of the surface proximate (less distal) to the starting point will have been formed to match the desired ending shape by previous passes of the forming tool. As used herein, the term "proximal" refers to a location towards the midpoint of the tube and the term "distal" refers to a location towards the end of the tube. Furthermore, by progressively moving the heating coil to leave behind the part of the arcuate portion that has been formed and "tangential spinning", i.e., utilizing successive, progressively changing spinning trajectories each of which has a straight portion tangential to the arcuate portion, the risk of failure of the knuckle zone due to localized heating can be further reduced. In tangential spinning, the area of the surface distal to the beginning of a straight line pass is conical as formed by the previous straight line pass. This conical area offers the advantage of not having abrupt changes in curvature, and is therefore possible to inductively heat uniformly to enable further forming. The orchestrated movement of the heating coil (i.e., the heating element) and the forming roller as the ^ end portion of the tube progressively changes shape allowε the temperature, the shape, and the thickness of the end portion to be controlled. Based on a predetermined set of parameters, feedback control utilizing continually monitored data on temperatures, forces, and speeds of rotation, as well as data on locations and orientations of the heating coil and the forming roller, enables automatic control of the apparatus to produce a cylindrical structure with an arcuate-walled end portion. BRIEF DESCRIPTION OF THE DRAWING Referring to the accompanying drawing, wherein like reference numerals represent like corresponding parts in the several views, wherein the figures are not drawn to scale to show details; Figure 1 is a top elevation view of a preferred embodiment of the apparatus of the present invention with a tube mounted within the apparatus; Figure 2 is an end elevation view of the mechanism for rotating a tube in the present invention, showing a metallic tank secured in that mechanism; Figure 3 is a side view of the tube rotating mechanism of Figure 2; Figure 4 is an end view showing detailε of a portion of the rotating mechanism of Figure 2; Figure 5 is a side view of a portion of the rotating mechanism of Figure 3 with parts omitted to show details, wherein support bars are shown in phantom; Figure 6 is a cross-sectional view of a portion of the apparatus in Figure 4 along the line 6-6; Figure 7 is a cross-sectional view of the portion of the apparatus of Figure 5 along the line 7-7; Figure 8 is a side elevation view of the heating mechanism of the embodiment of Figure 1; Figure 9 is a top elevation view of the heating mechaniεm of the embodiment of Figure 1; Figure 10 is an elevation view showing the configuration of the inductive heating coil of a preferred embodiment of the inductive heating coil means of the present invention; Figure 11 is a εide elevation view of the inductive heating coil meanε of Figure 10; Figure 12 is an alternative embodiment of an inductive heating coil means of the present invention; Figure 13 is a εchematic representation of another embodiment of the inductive heating coil configuration of the present invention; Figure 14 is an isometric view of a further embodiment of the inductive heating coil means of the present invention; Figure 15 is a top elevation view of the mechanism for positioning the forming roller of the preferred embodiment of the apparatus of Figure 1; Figure 16 is a side elevation view of the mechanism of Figure 15; Figure 17 is a schematic view showing the end portion of a tube and showing the shape of the arcuate portion to be formed thereon; Figure 18 is a schematic view showing the successive lines of contact of the forming roller with the end portion of the tube in the preferred embodiment of the apparatus of Figure 1; Figure 19 shows a cylindrical structure formed by rolling a rectangular sheet of metal; Figure 20 shows a tube appropriate to be worked by an apparatus of the present invention, wherein the tube has a welded seam; Figure 21A shows a tank formed by constricting the ends of a tube by utilizing an apparatus of the present invention; Figure 21B shows another tank having arcuate- walled ends formed by an apparatus of the present invention; Figure 22 shows another tank having conical ends formed by an apparatus of the present invention; Figure 23A is a longitudinal cross-sectional view showing the orientation and paths of travel of the forming roller relative to the end portion of the tube, wherein the rotational axis of the forming roller is parallel to the rotational axis of the tube; Figure 23B is a cross-section view perpendicular to the tube rotational axis of the embodiment of Figure 23A; Figure 23C is a side view of the embodiment of Figure 23A; Figure 24A is a longitudinal cross-sectional view showing yet another embodiment of the orientation and paths of travel of the forming roller relative to the end portion of the tube, wherein the rotational axis of the forming roller intersects the tube rotational axis; Figure 24B is a cross-section view perpendicular to the tube rotational axis of the embodiment of Figure 24A; Figure 24C is a side view of the embodiment of Figure 24A; Figure 25A is a cross-section view perpendicular to the tube rotational axis showing another alternative embodiment of the orientation and paths of travel of the forming roller relative to the end portion of the tube, wherein the rotational axis of the forming roller, although not being parallel to the tube rotational axis, does not intersect but is on a plane parallel to it; Figure 25B is a side view of the embodiment of Figure 25A; Figure 26A is a cross-section view perpendicular to the tube rotational axis showing yet another alternative embodiment of the orientation and pathε of travel of the forming roller relative to the end portion of the tube, wherein the rotational axiε cf the forming roller does not intersect and is on a plane not parallel to the rotational axis of the tube; Figure 26B is a side view of the embodiment of Figure 25A; Figure 27 is a εchematic longitudinal cross- sectional view showing a further embodiment of orientation and paths of travel of the forming roller relative to the end portion of the work tube; Figure 28 is a schematic longitudinal cross- sectional representation of the positional relationship of the heating coil and the forming roller to the tube in the embodiment of Figure 1 and showing portions of the paths of the conεecutive passes of the forming roller; Figure 29A and 29B are schematic longitudinal cross-sectional views in portion showing the orientation of the forming roller and the position of the end portion in a pass of the forming roller; Figures 30A is a schematic longitudinal cross- sectional view showing representative paths of the forming roller in the embodiment of Figure 1; Figure 3OB is a schematic view showing (not in scale) the path traversed by the forming roller in a number of consecutive passes; Figure 31 is a schematic longitudinal cross- sectional view showing the relation of the position of the forming roller and the end portion of the tube in variouε representative passes; Figure 32A and 32B are schematic representations of the control system of the apparatus of Figure 1; and Figures 33A and 33B are schematic flow representations of the operation of the apparatus of Figure 1. DESCRIPTION OF THE PREFERRED EMBODIMENT In accordance with the present invention, the preferred embodiment as shown in Figure 1 is illustrative of the apparatus of the preεent invention. In thiε preferred embodiment, an end on a tube (or shell) to be constricted is heated inductively as the tube iε rotated on its axis. A forming roller is used to apply pressure on an end portion of the tube along successive lines of contact each having a straight portion so that the end of the tube is progressively constricted. The following is a list of terms and brief description relating to their use herein. 1. Free End or Free Edge--This is the edge of the shell (or tube) . It is one end of the heated zone. The other end of the heated zone is the knuckle area. 2. Thin Shell--Generally a cylindrical εhell with a diameter to wall thickness ratio greater than 50 to 1, preferably greater than 100 to 1. 3. Thick Shell--Generally a cylindrical shell with a diameter to wall thickness ratio less than 50 to 1. 4. Head--Heads are pre-formed shapes. Conventional tanks are closed by welding heads on the ends. 5. Induction Heating--Heating metal using alternating magnetic fields. These induce eddy currents, which dissipate their energy in the form of heat. 6. E-Stop--Emergency Stop. This is where something haε gone wrong and the machine controls automatically stop all machine operations. Alternatively, the machine tool operator can manually invoke an E-Stop. E-Stop is especially important from a human safety point of view. For example, during shake down testing of a program, a person may have a hand in one of the machine tool pinch points. Obviously, as soon as this iε discovered, the operator would want to invoke an E-Stop. See also E-Return. 7. E-Return--Emergency Return. This is similar to an E-Stop. However, since the tank may be very hot, it is often desirable to withdraw the form tool and inductor away from the tank. Thus, if something goes wrong during spinning, and it is not a human safety issue, usually the machine or machine tool operator will invoke an E-Return instead of an E-Stop. See also E-Stop. 8. Flame Heat--Heating method utilizing fuel gas/oxygen mixture through torches. 9. Pressure Vessel--A closed container (commonly metallic) capable of containing media under pressure. 10. Mandrel--A shaped form against which material is spun. A mandrel is not uεed for free air εpinning. 11. Motion Control--The use of programmable computers and components to actuate mechanical components. 12. Diameter to Thickness Ratio (D/t)--The ratio of the nominal outside diameter of a shell to the nominal thickness of the shell. 13. Trajectories/Transitional Tank Shapeε--The path programmed and followed by the forming tool and the modified shape of the shell during the εpinning process. 14. Arcuate Paths--Trajectorieε and tranεitional εhapes of a curved nature. 15. Tangent Pathε--Trajectorieε and tranεitional shapes whose beginning points are substantially tangent to the final desired shape of the end being formed. 16. Elliptical Headε--A tank end in which the axial axiε is shorter than the radial axis. 17. Hemispherical Heads--A tank end which haε a hemispherical shape. 18. Toriconical Heads--A tank end which has a conical shape . 19. Out of Roundness--The difference in the measured minimum diameter and the measured maximum diameter. 20. Seamleεs Shell--A cylindrical shell which iε made from seamless tube or pipe. 21. Single End--Closing one end of a εhell at a time via the spinning process. 22. Double End--Closing both endε of a shell simultaneouεly via the spinning process . 23. Oxidizing Flame--A flame with a high oxygen to fuel gas ratio (excess oxygen) which increases flame temperature. 24. Oxidation--The chemical reaction which causes formation of ferric oxide which is accelerated in the presence of excess oxygen. 25. Pitch--In spinning this is the axial movement of the form tool for each revolution of the shell expressed in inches/revolution. 26. Arc Length--The εhell length from the point of initial forming to the free end of the εhell, as measured along the surface of the shell. 27. Heat Transfer Efficiency--The amount of heat energy abεorbed by the part to be heated aε a percentage of the total heat output of the heating meanε . 28. Stress Relieving--The process of heating material to the point that any .residual stresses present in the material are relaxed. 29. Solenoidal Coil--An induction heating coil of solenoidal εhape that surrounds the part to be heated. 30. Non-Solenoidal Coil--An induction heating coil that does not completely enclose the part to be heated. This is sometimes referred to as a "pancake coil" . 31. PID Control-- (Proportional-Integral-Derivative Control) A commonly uεed feedback process controller. 32. PLC--A Programmable Logic Controller generally used to control a sequence of machine events baεed upon timerε and external inputε. Referring to Figure 1, the preferred apparatus 1 for constricting an end of a tube has a means 2 for rotating (spinning) the tube on its axis, a pair of means 4A, 4B for heating the two end portions of the tube, a pair of meanε 6, 8 for rounding the two end portions of the tube 7 and for applying pressure on the two end portions of the tube 7 to constrict the ends of the tube (as shown in Figure 1, means 6 is positioned for rounding, and means 8 iε positioned for constricting) . These means are secured to a common structure, such aε a platform or foundation (not shown) so that these various means can function cooperatively, and in an orchestrated manner, to heat and constrict the end (i.e., end portions) of a tube. Referring to Figures 2 and 3, the means 2 for rotating the tube 7 has a guide ring 10 through which the tube extends and is secured thereto. Therefore, as the guide ring 10 rotates, the tube 7 is caused to rotate on its axis, which preferably is identical to the axis of rotation of the guide ring. The guide ring 10 is supported by a plurality of guide rollers which in turn are affixed in a frame 14. The guide ring 10 has a knurled outer surface 16 which contacts a drive wheel 18. The traction of the rim (or periphery) of the drive wheel 18 on the knurled surface 16 of the guide ring 10 causes the guide ring to rotate as the drive wheel is rotated. A motor 20 driving a gear box 22 is used to rotate the drive wheel by means of a belt 24. Referring to Figures 4 and 5, the guide ring 10 has grooves 26 defined on itε outer surface for receiving the guide wheels 12 so that as the guide ring 10 is rotated, it remains axially stationary relative to the frame 14 and drive wheel 12. The guide ring 10 has first 28 and second 30 internal support bars extending axially on the internal εurface thereof. Referring to Figures 6 and 7, a pair of first εupport barε 28A,28B are secured to the guide ring 10 by a plurality of bolts 32A, 32B, 32C, 32D. A second support bar 30 is secured to the guide ring by means of radially adjustable threaded shafts 34A, 34B which resemble the threaded shaft of a bolt. The radially adjustable threaded shafts 34A,34B are screw-threadedly connected to the guide ring so that as such a shaft is turned relative to the guide ring it moves radially inward or outward depending on itε direction of turning. When a tube 7 is being affixed in a guide ring 10, the radially adjustable threaded shafts are first moved radially outward to allow the tube to extend through the guide ring. After the tube 7 is dispoεed in the guide ring 10 in a deεired axial position, the radially adjustable threaded shafts 34A,34B are moved radially inward relative to the guide ring so that the second support bar 30 is presεed against the outer surface of the tube 7. In this way, the tube 7 is securely disposed in the guide ring 10. The dimensions of the guide ring 10, the support bars 28,30, and the radially adjustable threaded shaftε 34 are εelected such that for a tube 7 of a εpecific diameter, when disposed in a selected guide ring 10, the axiε of rotation of the tube coincides with the axis of rotation of the guide ring. The support bars each has a radially inwardly facing layer 36 which frictionally contacts the outer surface of a tube. The layers 36 have a high coefficient friction so that the tube can be securely disposed in a guide ring. Referring to Figures 8 and 9, the means for heating (e.g. 4A) the end portion 37 of the tube 7 has a mechaniεm for moving the heating element in at leaεt two dimensions. For example, the mechanism can move the heating coil on a two dimensional plane with three degrees of freedom (as will be evident from the following description) . The heating element 38 preferably has inductive coil means including one or more inductive coils (not shown in Figures 8 and 9) protected by an insulator 40. As shown in Figures 8 and 9, the heating element 38 is pivotally connected to an extendible arm 42 so that the heating element 38 can be rotated on a horizontal plane parallel to (the foundation and to the axis of the tube 7) . Arrowed line A shows the pivotal movement of the heating element. The extendible arm 42 has a first portion 44 and a second portion 46 operatively connected together such that the overall length of the extendible arm can be lengthened or shortened by moving the second portion relative to the first portion so that the diεtance from the heating element to the tube can be varied. A motor 54 is used to effectuate the movement of the second portion 46 relative to the first portion 44. Preferably, the first portion 44 and the second portion 46 of the extendible arm are slidably connected together by meanε of guide railε 50 and the motor 54 drives a mechanism that moves the second portion 46 along the first portion 44. Arrowed line B shows the extending and contracting movement of the extendible arm. A seco-d motor 48 iε operatively connected to a , right angle gea box mechanism 61 by means of a telescopic shaft 52 to pivot the heating element 38 at the end of the second portion of the extendible arm. The first motor 54, the second motor 48, and the first portion 44 of the extendible arm 42 are mounted on a mounting column 56 which in turn is mounted on a base 58. Preferably, the mounting column 56 is adjuεted vertically (i.e., in a direction perpendicular to the plane of pivoting of the heating element) when it is initially inεtalled so that the heating meanε is at the correct height (the center line of the heating means is in the εame horizontal plane as the center line of the shell) to heat the tube 7. Alternatively, a mounting column 56 that is vertically adjuεtable during tne operation of the apparatuε can be used. The column 56 iε pivotally mounted on the baεe 58. A third motor 60 iε uεed to drive the movement of the column 56 so that the extendible arm 42 can sweep in a plane perpendicular to the vertical axis (i.e., parallel to the plane of pivotal movement of the heating elements) . Arrowed line C showε the pivotal movement of the extendible arm. By controlling the pivotal movement of the column , the extension of the extendible arm, the pivotal movement of the heating element, the heating elements can be precisely positioned at desired locations proximate to the surface of the end portion of the tube for inductive heating, even aε the end portion progressively changes shape. As will be described below, the motors are computer controlled to provide orchestrated (or coordinated) movement with the forming tool. Referring to Figureε 10 and 11, the heating coil and the insulator 40 of the heating element 38 are supported by a hinged εupport arm 62, aε previouεly εtated, pivotally connected to the end of the second portion 46 of the extendible arm 42. The heating element 38 has an arcuate shape. An inductive heating coil 64 is disposed on the recessed (which is concave in heating coil 64) surface of the insulator 40 facing the tube. In thiε way, the heating element 38, including the inductive heating coil 64, haε a concave εurface 66 for positioning proximate to the outer εurface of the tube. In the embodiment shown, the inductive heating coil 64 has a spiral configuration having a general appearance of a disk. It is understood that the recessed surface can be trough-shaped, bowl-shaped, and the like. Referring to Figure 12, alternatively, the spiral of the inductive heating coil 64 can be wound such that it has the general appearance of a rectangular plate. Again, the general rectangular spiral inductive heating coil is configured to provide a concave surface for positioning proximate to the outer surface of a tube. Figure 13 εhows an alternative embodiment of a heating element having a plurality of inductive coils each of which can pivot and be moved independently of one another in a direction generally perpendicular to the plane of the coil. For example, referring again to Figures 8 and 9, the coils can each be pivotally supported by a second portion 46 of extension arm. The plurality of second portions 46, each supporting a heating coil, can be slidably connected to a common first portion 44 of extension arm. In this way, the inductive coils can be moved to a configuration correεponding to the changing shape of a tube in the spinning process . Figure 14 shows another embodiment of the heating element 38. In this embodiment, the inductive coil means iε articulated (i.e., the two inductive coils are disposed in such a manner that they can move relative to each other by means of one or more hingeε 70. In the embodiment of Figure 14, the inεulatorε 40A,40B on which the two inductive coilε 64A, 64B are disposed are connected together but the coils are not connected. Alternatively, the inductive coilε 64A,64B can be jointedly connected together to provide pivotal movement one to another. Generally, the heating ^ element aε εhown in Figures 10-14 have heating coils that are not solenoids. Such non-solenoidal inductive heating coils, being relatively flat and having an arcuate configuration providing a recessed surface, are more adapted for positioning proximate to the outer surface of a tube. It is to be understood that since inductive heating is by magnetic flux, the insulatorε can be disposed between the inductive heating coil and inductive heating will still be practicable. The insulator can be made from thermal and electrical insulating materials such aε ceramicε, refractory fabrics, and the like. Referring again to Figure 1, a pair of forming rolling means 6,8 are provided for applying pressure on the outer surface of the tube 7. Each of the forming rolling meanε 6,8 has a forming roller rotatably mounted on a shaft which, in turn, is rigidly affixed to a roller support arm. Referring also to Figures 15 and 16 and conεidering forming rolling means 6 as example, the roller εupport arm 72 is pivotally mounted on a first carriage 74. An actuating link 76 (movable along arrow G) is provided on the first carriage 74 to move the forming roller support arm 72 pivotally (shown by arrow D) on the first carriage so that the forming roller support arm sweeps on a. plane that is perpendicular to the vertical axis (i.e., parallel to the axis of tube) . The first carriage 74 is movably mounted on a εecond carriage 80 so that the first carriage can be actuated by a motor 82 to move relative to the second carriage in a direction parallel to the rotational axis of the tube (shown by arrowed line E) . In turn, the second carriage 80 is movably mounted on the foundation so that when it iε actuated by a εecond motor 84, it moves along the foundation in a direction perpendicular to the rotational axis of the tube (shown by arrowed line F) . The movement of the first carriage 74, εecond carriage 80, and the forming roller εupport arm 72 relative to each other enableε the ^ forming roller 78 to be poεitioned preciεely on the outer εurface of the tube, even as the end portion 37 of the tube changes from a cylindrical shape to a constricted configuration with an arcuate surface. In this manner, the form rolling means can be controlled precisely, for example, by computer, to apply pressure on the end portion of the tube to form a desired arcuate-walled portion. It is to be understood that the carriages and the link can be arrange in other ways (for example, in a nonperpendicular relationship) to provide two dimensional movement with three degrees of freedom for the forming rollers. Preferably, the two form rolling means 6, 8 each can perform two functions--rounding and constricting. The forming roller can be positioned on the outer surface of the end portion 37 of the tube and moved axially at a fixed radial distance from the tube axis as the tube iε inductively heated and spun. In this manner, any out-of- round (i.e., non-cylindrical) imperfection of the tube can be rounded aε the tube iε spun and pressure is applied by the forming roller thereon. After the end portion 37 of the tube is rounded in such a manner, it can then be constricted by further actuating the form rolling meanε 6 (or 8) to move the forming roller 78 in εuccessive paths between proximal and distal, radially inward and radially outward end points relative to the tube. In alternative embodimentε, a first forming rolling means can be used for rounding the tube before forming the arcuate-walled portion with a separate forming rolling means. USE OF THE APPARATUS In use, the preferred embodiment illustrative of the apparatus of the present invention, as shown in Figure 1, applies pressure on an end portion of a tube along succesεive lines of contact as the end portion is heated, preferably by induction. Preferably, each line of contact has a straight portion. By moving the forming rolling means to apply pressure on the end portion of the tube through such successive lines of contact, the end portion can be progresεively constricted to form an arcuate-walled portion. In this way, the ends of the tube can be constricted to form an opening narrower than the end of the unconstricted tube or to form a completely closed end on the tube. Referring to Figures 17 and 18, the present invention is particularly well-suited for constricting the end portion of a thin-walled tube with a large diameter to thickness ratio (D/t ratio) (e.g., D/t of greater than 50:1) . For example, the end of the tube can be constricted to form an arcuate-walled closed end (shown by curve 86) . Referring to Figure 18, the end portion of the tube is heated and pressure applied thereto for forming the arcuate-walled portion. Preferably, the pressure is applied along succesεive lineε of contact 88A,88B,88C etc., each of which haε a εtraight portion tangential to the target arcuate-walled portion 86 (i.e. the shape designed) . Furthermore, these straight portions are each distal to the point at which it forms a tangent with the arcuate-walled portion. Therefore, as the arcuate-walled portion 86 is gradually formed, the locations at which inductive heat and pressure are applied gradually shift radially inward and distally along the arcuate shape of the arcuate-walled portion. As the arcuate portion is gradually formed, the part of the end portion that has not yet been shaped into an arcuate shape formε a conical configuration. The arcuate, particularly tube-segment-shaped heating element facilitates positioning the heating element in cloεe proximity of the conical part of the end portion. Referring now to Figure 19, the tube (i.e., the tube to be uεed for forming a conεtricted end) can be manufactured by rolling a metallic εheet into a generally cylindrically εhape. The resulting cylindrical structure has a joint (or unconnected seam) 90 where the two edges 92A, 92B of the metal sheet meet. A welded seam 94 can be sealed by welding along joint 90 (as shown in Figure 20) . By using the method and apparatus of the present invention, one or both ends of the tube can be constricted, for example, closed to form arcuate-walled portions 86A,86B in an elliptical shape (as shown in Figure 21A) . The curvature of the arcuate-walled portion can be varied by modifying the locations and angles of the successive lines of contact . An example of a tank having relatively round (hemispherical) ends 96A,96B can be formed according to the present invention, as shown in Figure 21B. A tank having conical ends 97A, 97B (as in Figure 22) can also be made with the apparatus and method of the present invention. In operation, a tube 7 to be constricted at an end thereof is extended through and secured to the guide ring 10. The second support bar 30 (see Figure 7) is forced against a surface of the tube by screwing the radially adjustable threaded shaftε 34A etc. into the guide ring. In this way, the tube is securely confined in the guide ring so that the tube will rotate with the guide ring. The tube rotates with the guide ring (on the same axis of rotation) as the guide ring is rotated by the actuation of the drive wheel 18 in contact with the knurled surface of the guide ring. Referring to Figure 1, the end portion 37 of the tube 7 on which an arcuate-walled portion is to be formed iε heated, preferably, by the inductive heating mechanism. The tube is rotated as the end portion thereof is heated. The forming roller 78 is moved axially in a direction parallel to the axis of the spinning tube at a predetermined radial distance therefrom to round the end portion of the tube as previously described. Subsequently, as inductive heat is applied to a part of end portion 37 of the tube at a predetermined distance from the end thereof, pressure is applied to the end portion of the tube as the tube is rotated. The forming roller 78 is moved along a first line of contact. The first line of contact that is not parallel to the original tube wall has a straight portion whose junction with the original tube forms a slight curvature (i.e. an angle) with the cylindrical wall of the tube. Forming along the line of contact results in a conical portion toward the free edge of the tube. That straight portion is preferably generally tangential to the curvature at said junction. It is to be understood that this tangential phenomenon iε macroscopical when the resulting arcuate portion of the finished product is taken as a whole. Microscopically, if each pasε iε taken individually, the εtraight portion may not be absolutely tangent to the arcuate portion. Referring to Figure 23A-C, which shows a forming roller having a rotational axis parallel to that of the tube, the lines of contact 88A,88B,88C etc. are not defined on the surface of the cylindrical tube or the surface of the forming roller, but rather are defined as a spatial relationship with the rotational axis 98 of the tube 7. In the embodiment of Figure 23A-C the forming roller 78 has a rotational axis that is parallel to the rotational axiε of the tube. The forming roller 78 iε moved along a line of contact (e.g. 88B) radially inward and distally toward ends of the tube from a predetermined starting end point to a predetermined ending end point. After the forming roller haε traveled to the end of a firεt line of contact (e.g. 88B) , it iε moved radially inward and then brought back along the εecond (i.e., the next) line of contact (e.g. 88C) to a poεition εlightly distal and radially inward relative to the proximal starting point of the firεt line of contact. The second line of contact is selected so that the end point thereof remote from the free edge of the end portion is on the arcuate portion of the target shape and is radially inward and distal relative to the corresponding end point of the first line of contact. Similar to the first line of contact, the second line of contact alεo has a straight portion that is generally tangential to the arcuate shape to be formed (i.e. the target shape) . Furthermore, as the arcuate shape is being formed, the heating elements of the heating mechanism is moved in coordination with the movement of the forming roller so that the inductive heating coil remains proximate to the surface of the end portion of the tube. Preferably, for each successive line of contact, the heating elements of the inductive heating mechanism is moved so that the inductive heating coil moves progressively radially inward and distally so that the portion being heated moves progresεively away from the location where the arcuate portion starts. The portion being heated is bounded by the then current tangent point and the free edge of the tube. In this manner, the arcuate-walled portion is formed by progressively applying pressure and inductive heat to the end portion of the tube so that the area of inductive heating and the application of pressure moves progressively away from and leaves behind a part of the arcuate portion that has been formed to the desired arcuate shape in the process . If preferred, a tube with a conical end (as in Figure 22) can be made. To accomplish this, the starting tube and input parameters are selected such that when the tube is spun, the free edge of end portion which is compressed by the forming tool along the straight portions of the lines of contact meet to form a fused end. Aε the tube is spun, because the metal in a larger diameter structure (i.e., tube) is forced into a smaller diameter structure (i.e. , conical shape) , the metal is fore- d to extend the arc length. In this manner, aε the end portion of the tube is constricted, metal is continually moved towards the free edge of the tube. Based on the thicknesε and radiuε of the tube, by careful selection of optimal parameters, including those relating to the paths of travel by the forming rollers along the lines of contact, metal can be moved toward the end of the tube so that the arcuate-walled portion formed has a relatively uniform thickneεε similar to the thicknesε of the tube. Generally the thickness increase of the arcuate-walled portion iε much εmaller that in conventional hot εpinning processes (e.g. those described by Runge) . This can be accomplished by continually monitoring parameters such as temperature, force, εpeed of rotation of the tube for feedback controlling the orcheεtrated movement of the heating element and the poεitioning of the forming rollerε . In thiε way, the end portion of the tube can be conεtricted (e.g., cloεed) as shown in Figure 23A-C. Referring to the alternate embodiment of the configuration of forming roller shown in Figure 24A-C, the rotational axiε 100 of the forming roller 78 intersects the tube rotational axis 98 at a point diεtal to the forming roller. Alternatively, the forming roller can have an axiε of rotation such that it does not lie on the same plane as the axis of the tube. It is preferable that the plane of rotation of the forming roller forms a nonperpendicular angle with the straight portion of the line of contact εo that the pressure applied by the forming roller on the end portion of the tube has a component that moves metal toward the free edge of the tube. Thus, in theεe alternative embodimentε the forming roller iε "skewed" relative to the tube. With a skewed configuration, the rubbing action between the end portion and the forming roller during rotation further increaseε the urging of metal radially inward and distally towards the free edge of the tube. For example, in the embodiment of Figure 25A-B, the rotational axiε 100 of the forming roller is not parallel to the tube rotational axis 98. However, it iε on a plane parallel to tube rotational axis 98 and therefore does not intersect axis 98. Figure 26A-B shows another alternative skewed embodiment. In this case, the rotational axis 100 of the forming roller 78 does not intersect tube rotational axis 98. There iε alεo no plane parallel to the rotational axiε 98 of the tube on which the roller rotational axiε 100 can lie. Referring to Figure 27, an alternative embodiment utilizeε a cylindrical rolling pin 102 for applying pressure along the line of contact. In this application, the axis 104 of rotation of the rolling pin 102 is parallel to the straight portion of the line of contact. Generally, the rolling pin 102 does not move along the straight portion of line of contact relative to the end portion of the tube. However, in the embodiments of Figures 23 to 26, the spacing of the successive lines of contact are adjusted by gradually and continuously moving the rolling pin proximately and radially inward in an arcuate fashion such that a subεtantially straight portion is more radially inward and more proximal than the straight portion of the preceding line of contact. This is accomplished with continuous motion of cylindrical rolling pin 102 in contraεt to the diεcrete trajectorieε of form tool 78. ORCHESTRATED MOVEMENT Aε previously stated, the heating element and the forming roller are moved orchestratedly as the cylindrical structure (i.e., tube) is rotated to spin metal in the end portion of the cylindrical structure radially inward and distally. Referring to Figure 28, the inductive heating coil 64 (or inductor) is positioned proximate to the portion of the tube 7 on which pressure is to be applied. Preferably, the heating coil 64 is rotated or positioned to be within about a half inch from the surface of that portion of the tube. To facilitate uniform distribution of heat on the end portion in which metal is to be spun, preferably the inductive coil is positioned to be slightly out of parallel (form an angle, shown as item 114, of about 4°) with the straight portion 106 towards the free edge 108 of the tube. Preferably the distal edge 109 of the inductive heating coil 64 extends past the free edge 108 of the tube to result in overhang 110. Surprisingly, the overhang and over rotation of the inductive coil, which results in a non-parallel configuration, resultε in a more uniform temperature distribution than otherwise (with a parallel configuration) . The path of the forming roller forms a tangent with the desired arcuate shape. For example, in Figure 28, the path n is tangent to the arcuate shape at tangent point 115 and the path (n + 1) iε tangent to the arcuate shape at tangent point 117. Referring to Figures 29A and 29B, as the forming roller traverses a path contacting the tube, the position of the forming roller 78 is defined relative to a reference point proximate the forming roller's rim (or periphery) in contact with the tube. Generally for a forming roller 78 that has a contacting surface having a circular arc cross-section the reference point is at the center (116 in Figure 29A, 118 in Figure 29B) of the arc. In this case, the distance from the center to the circular arc iε referred to aε the "nose radius." However, the reference point can be arbitrarily selected aε long as the position is precisely described mathematically so that the poεition of the forming roller can be εpecified. Generally, for interfacing with the operator, aε in the main program (i.e., MAIN Program) for generating the machine control program, the position of the forming roller is described relative to the tube. For example, the origin of the coordinate system (Tank Coordinate System) is the intersection point 122 of the rotational axis and a line passing through the starting point 124 of the setback and perpendicular to the rotational axis 98. To implement control, these coordinates are translated from the Tank Coordinate System into a set of coordinates defined according to a machine origin (Machine Coordinate System) based not on the tube but on the machine hardware. The "arc length" along the surface of end portion from the point 124 where the arcuate portion starts to the free edge 108 increases with each pass. This results in an extension (130 in Figure 28) of the end portion of the tube. As used herein, the term "extension" refers to the difference in length between the original arc length before the first pass and the arc length at the end of any given pass . Referring to 30A-B and 31, which depict in relatively more detail portions of the paths traveled by a wheel-shaped forming roller in forming an arcuate end portion with a quarter elliptical cross section, the path of travel of a fixed point (e.g., center 116 of the semicircular arc cross-section of the periphery) of the forming roller 78 extends past the predicted free edge location (e.g., 108N) by an amount referred to as "tag" (also shown as 132 in Figure 28) . This accommodates any variance between the calculated and actual arc length. When the tube is constricted to the point approaching closure, to avoid contacting or otherwise interfering with the movement of the forming roller, instead of extending past a free edge of the tube, the inductive coil is positioned proximate the free edge with a clearance from the forming roller when the forming roller iε at the tag poεition. Aε shown in Figure 28, the tag is kept relatively constant for various lineε of contact throughout the εpinning operation. Generally, for a tank with a 16 inch diameter and 0.125 inch wall thickness we use a delta of about 0.15 inch and a tag of about 0.25 inch. Referring again to Figure 28, as the tube is rotated and the forming roller 78 (e.g., a wheel-shaped roller) is preεεed against the end portion of the tube in succeεεive passes along various lines of contact, the inductive coil iε moved orchestratedly with the successive passes of the forming roller. In other words, the movement of the inductive coil lags behind the movement of the forming roller. For example, the forming roller 78 travelε along path n to the free edge of the tube and then advances radially inward to a position on the n+1 pass and then subsequently travels radially outward and along path n + 1 (see Figures 28 and 30B for detail) . Aε the forming roller 78 completeε traverεing path n, the heating coil iε poεitioned in the n poεition with an over-rotation (represented by 114) . When the forming roller completes traverεing path n + 1, the heating coil iε then moved to the new poεition n + 1 with over-rotation. Referring to Figure 28, Delta 112 is the distance between path n + l and n as measured perpendicular to the straight portion of path n, at the free edge of the tube. The Temporary Point 111 (which iε a calculated intermediate point for eεtimating the arc length) for the next paεs e.g. n + 1, is located a distance Delta from pass n. One point 117 of the generally straight portion of the pasε n + 1 is then calculated so that the generally εtraight εegment defined by thiε point and the Temporary Point iε a tangent to the desired arcuate εtructure. The εecond point 113 iε determined by extending this generally straight segment from the point 117 by an amount calculated to include the arc length, including predicted extension and the tag. Generally, the εmaller the value of delta, the smoother will be the arcuate portion of the finished product. The selection of the value of delta is affected by operational constraints such as time, tube thickneεε, temperature and coεt . Referring to Figureε 28 and 30B, in operation, the inductive coil 64 iε moved into the poεition (item 64 on Figure 28) proximate to the shape of the shell after pasε n has been completed, which is immediately after the forming roller 78 haε departed from path n (εhown by 88N) . Aε previouεly εtated, preferably, the inductive coil 64 extendε paεt the free end of the end portion of the tube to create an overhang 110 so that the whole length of the tube along which the forming roller travels can be inductively heated. This facilitateε the spinning of metal by the forming roller along the lines of contact near the free edge 108 of the tube. In the alternative case where a cylindrical roller (i.e. , a rolling pin type roller) is used, the cylindrical roller iε moved radially inward in an arcuate, sweeping faεhion aε a continuum. In thiε case, the free edge of the end portion of the tube is moved continuously and delta can be expressed in units of length/time. Also in thiε case the induction heating means can move continuously, in an orchestrated manner. CONTROL OF THE APPARATUS As previously stated, the apparatus of the present invention can be automatically controlled. Referring to Figureε 32A and 32B, the control εyεtem of the preferred embodiment of the apparatus comprises a main control system that coordinates the overall operation of the apparatus, including material handling, cooling, inductive heating, and rotation of the tube. In this illustrative, preferred embodiment, information is communicated between the main control CPU (Central Proceεsing Unit) 140 and the heating means. Two sets of inductive heating coils 142A, 142B (a left side heating coil 142A and a right side heating coil 142B corresponding to the two ends of the tube) are each powered by an induction heating power supply 144A, 144B. In each set, information is communicated between the inductive heating power supply 144A, 144B and a PID (proportional- integral-differential) temperature control 146A, 146B for controlling the power supplied to the inductive heating coil. In turn, data collected by a non-contact temperature sensor 148A, 148B is communicated to the PID temperature control 146A, 146B. Information is also communicated between the PID temperature control 146A, 146B and the main control CPU 140 for overall control of the energy output by the heating coil 142A, 142B. Programmable logic controllers 148 (PLC) are used for controlling material handling components 150, the cooling εystem 152, and miscellaneous I/O components 154. Information is communicated between these various systemε, components, the programmable logic controllers 148, and the main control CPU 140. The rotational operation for spinning the tube is controlled by a motion control processor 160 which controls a variable speed AC motor control 162. The AC motor control 162 in turn communicates with a tank drive main spindle motor 164 (the motor for driving the guide ring) . In turn, the motion control processor 16.0 communicates with the main control CPU 140. In Figure 32B, point A (circled A) represents a connecting point between the CPU 140 and a motion control processor. A plurality of motors 166A-L drive the movement of the heating coil and the forming roller. Each of the motors 166A-L communicateε with a servo-motor drive amplifier 168A, etc. which in turn communicates with its corresponding motion control procesεor 160. In turn, the motion control processors 160 communicate with the main control CPU 140 to provide movement of various features of the apparatus. The motors that are controlled in this manner include left forming tool (i.e. forming roller) linear axiε no. 1 motor 166A, left forming tool linear axis no. 2 motor 166B, left forming tool rotary axis motor 166C, right forming tool linear axis no. 1 motor 166D, right forming tool linear axis no. 2 motor 166E, right forming tool rotary axis motor 166F, left heating coil rotary axis no. 1 motor 166G, left heating coil linear axiε motor 166H, left heating coil rotary axis no. 2 motor 1661, right heating coil rotary axis no. 1 motor 166J, right heating coil linear axis motor 166K, and right heating coil rotary axis no. 2 motor 166L. Referring to Figures 33A and 33B, when the apparatus is to be used for constricting the end portion of a tube, the user (operator) inputs information into the control syεtem (i.e., main control CPU) . Block 200 represents the input step. The information includeε εpecificationε of the tank to be formed (such as the diameter and thickness of the tube, the shape and dimenεion of the arcuate portion of the finiεhed tank, the thickness of that arcuate portion, the original length and position of the end portion to be worked on, etc.) , and process specifications (including the temperature to which the tube is to be heated, the force limits to be applied by the forming roller on the tube, the speed of rotation of the tube, etc.) . Furthermore, the.type of forming tool to be used is also specified. Based on the information entered, the central control CPU calculates movement by variouε componentε of the apparatuε for forming the deεired tank (the calculation εtep is represented by block 202) . If a wheel-shaped forming roller is to be used, based on the value of delta specified, a set of intermediate tank shapes are calculated. Similarly, if a rolling pin type of cylindrical forming tool is used, although the cylindrical forming tool is moved in a continuum, based on delta, the intermediate tank shapes at discrete time intervals can be calculated. A set of mathematical equations iε used for calculating the forming tool positionε and motion as well as the inductive coil positions and motion. From the calculated positionε and motionε of the forming tool and the inductive coil, positions of interference of the forming tool and the inductive coil are predicted by calculation and accordingly prevented by modifying the coil position. Further information such as total cycle time and the number of passes necessary for forming the final shape is also calculated. The information on the predicted performance of the process is then diεplayed, together with the user input on a display unit (e.g., a printout, plot, or display on a CRT screen) . As shown by block 204, the user, baεed on the display information, determines if further modification of input parameters is necessary and modifies the input accordingly. The software in operation converts the calculated value on motion into machine specific motion control language for controlling the various componentε of the apparatus through various machine motion controllers (blocks 206, 208) . If the user is satiεfied with the predicted reεult, the user loads the program into the main CPU. Information from the machine tool motion controller is relayed to a corresponding machine tool graphics display to be observed by the user (block 210) . If the user iε not satiεfied with the reεultε εo far, the uεer can further modify the input information to change the process. At this point, the user actuates the tank spinning process (including heating, rotation of the tube, and orchestrated movement of the heating means and the forming roller (s)) iε implemented (block 212) . As the procesε iε being monitored, if a machine fault iε detected, the process is interrupted and the user is given the opportunity to correct the fault. The process may then be continued until the final product, a tank with arcuate portions at the ends thereof is obtained (block 214) . Based on the final product, if desired, the input parameters can be modified further to result in a better product (or a product with a different geometry) in the next operation. It is to be understood that the εequence of the iteration of parameter input, diεplay and converting to motion control language is flexible. For example, the input of parameters, calculation, and display of calculated information can be repeated until the operator is satisfied before the information is converted to motion control language. Alternative, the conversion into motion control language can follow every change of parameter and calculation. The whole process of entering input parameters, calculating the movement of the heating means and the forming toolε, converting into motion control language, and implementing the εpinning process to restrict a tube can be done on a single computer. In this case, the means for tranεferring the calculated information to the means that control the heating means and the forming tool can simply be I/O ports, electrical cables, and related equipment. Alternatively, the input of parameters, calculating the movement, and converting to motion control language can be done in a computer and the information can be subεequently transferred to a second computer for implementing the spinning process. This can be accomplished, for example, by downloading the motion control language information from the first computer into a disk and then transfer the information to the implementing second computer by loading thereinto the information from the disk for operating the forming tool and the heating means. Another example is to network the two computers so that the calculated and converted information can be electronically tranεferred from the firεt computer to the εecond computer. SOFTWARE The εoftware uεed in the apparatus of the preεent invention utilizes input parameters and calculates the positions and motion of the heating means and the form rolling tool. The input parameters are entered into the computer system by means of conventional equipment, e.g. keyboard, pointer device (mouse) , touch screen, and the like. The input parameters, as well as the calculated parameters are displayed, preferably on a CRT screen for an operator to review and modify. The computer also uses conventional electronic equipment for communicating information to means that drive the heating means and the forming tool . SOFTWARE - INPUT PARAMETERS As previously stated, the software utilizes input data to calculate and direct the spinning operation. Typical parameters (or data) that can be inputted include the following: a) Number of Tanks to Make b) Shell Outεide Diameter c) Shell Material Thickness d) Desired Overall Tank Length (1) This is the dimension of the finished length from one extreme end to the other, as measured along the axiε of the tank. Note that as spinning progresses, generally the arc length increases and the overall length decreases . e) Desired Geometric End Shape (1) Opening diameter if any. (2) Desired shape of either end (with or without holes, joggles, etc.) , endε may differ. (a) Hemiεpherical (b) Semi-elliptical (c) Conical (d) Toriconical (e) Toroεpherical (f) Combined εhapes (g) Special features: Rounded shellε (i.e. , truing of the shell) , offεets, etc. (h) Non-concentric shapes (i) User specified arbitrary shapes f) Coil Dimensions (1) Width of coil and any other dimensions that may affect interactions/interference of the coil with surrounding components of the apparatus . g) Form Tool Shape (1) Dimensions defining the form tool shape are uεed in determining trajectory data, h) Coil Coupling Distance (1) The εeparation diεtance between the coil and the surface to be heated to achieve optimum energy transfer while maintaining adequate separation to accommodate (avoid colliεion or arcing) any irregularities or out of roundness of the shell. See Figure 28. i) Coil Over Rotation (1) We have found that if the coil is placed parallel to the surface of the portion of the shell being formed, there may be nonunifor distribution of temperature. Slight rotation of the coil relative to this surface generally allows for reasonably uniform temperature distribution. This slight angular variance is referred to as "coil over-rotation." See Figure 28. ) Cc 1 Overhang (1) This dimension describes an extension of the surface of the coil beyond the free edge of the surface of the shell, measured parallel to the surface being heated. We have found that some extension is required to maintain uniform temperature at the free edge of the shell. See Figure 28. k) Coil - Form Tool Separation Distance (1) Thiε iε the minimum allowable diεtance to avoid phyεical contact or electrical interference to accommodate any margin of error within the poεitioning apparatus. This situation may occur just prior to completion of the process . 1) Tag (1) This iε an incremental distance added to the calculated trajectory path to accommodate any subtle variations in the actual intermediate lengths of the shell, aε compared to the predicted length. Such variations may occur due to slight temperature differences, thickness variations, etc. m) Delta (1) This is a measure of separation between successive passes. Delta is measured perpendicular to the current pasε direction, at the predicted.location of the free edge of the shell. Taking Delta aε a vector added to thiε location, the new location lieε on the next pass. A tangent to the shell, that passes through this new location, defines the direction of the next paεε . n) Feed Rates (1) Thiε iε the desired velocity of the form tool along its path, o) Shell RPM (1) Thiε iε the rotational speed of the shell in cycles per minute, p) Temperature Range (1) We εpecify a range because we have found that tanks may wrinkle easily if the temperature iε too low, and they may fail structurally if the temperature iε too high. SOFTWARE - DERIVED PROCESS VARIABLES Based on the input data, the software calculates required motions and associated derived process parameters: a) Calculate Setback/length of shell needed based on arc length extension: The overall length of the shell shortens during the spinning process. However, the arc length of the shell, which is the length as measured along the surface of the shell, increases. The increase in arc length is called shell "extension" (See Figure 28. In Figure 28, the "Original Length" iε that length which when increased by the cumulative "extension" amount is just equal to the required arc length for the desired end shape.) We have found that a simple power law can be used to approximate the amount of arc length extension observed. We have found a reasonable approximation to be that the shell arc length extends about 0.2 times its radius for a fully closed elliptical head. The arc length extension for intermediate shapes can be estimated to be proportional to: Constant x radius x (((angle in rads) * (2/7r)) p ) , where radiuε is the radius of the original tube and angle is the angle between the rotational axis and the tangent. The angle is zero for an open shell and is π/2 for a cloεed end, and P ranges from 0.5 to 1.0. The value of the Constant is approximately 0.2, but changes slightly with temperature, end shape, and material thickneεε . The initial shell length required is just the desired length between the knuckles, plus the arc length of the shape of the endε, less the calculated εhell arc length extension of both ends . b) Calculate Form Tool Trajectories. (1) Calculate Form Tool Trajectories: Based on trigonometry, the trajectories of the form tool are calculated. (A contacting trajectory is just any motion which is expected to be a major spinning motion, i.e., contactε the shell in a manner sufficient to cause the shell to change shape.) We add an additional length called the Tag (typically 0.25 inches) to the calculated trajectories to accommodate any error in this approximation. (2) Calculate the transition motions: The transition motions (item 89 in Figure 30B) to move the forming. tool from the end of one contacting trajectory to the beginning of the next is calculated. (3) Determine rpm, feeds, c) Calculate Coil Trajectorieε (in which the heating iε orcheεtrated with the εpinning) . (1) Calculate area to be heated. (2) "Slaved" to forming tool. (a) In the case of a forming roller, coil moves to the next position to heat the shell as soon aε the form roll haε completed the previouε paεε . This iε what we mean when we εay the coil iε εlaved to the form tool . (b) In the case of a forming pin (Figure 27) , the coil will move continuously, aε the εhell changeε εhape . (c) If by moving to the calculated poεition, the coil iε going to phyεically interfere with the form tool, then its calculated positions are modified to avoid interference. (d) The motions of the heating coil and the form tool must be εynchronized. Variouε motion control languageε accompliεh this in different ways. Often, the computer can generate synchronization points to force all the individually controlled motion axis to synchronize after a particular motion is completed. Alternatively, the motions can be orchestrated via a real time clock. d) Calculate derived information such as total cycle time, number of pasεes (in the case of a forming roller) , how many passes would interfere with the coil, etc. SOFTWARE - DISPLAY GRAPHICS a) By selecting this item, the operator can selectively display the contact trajectories, forming roller center pathε, forming roller center hop , forming roller at path ends, desired final εhape, actual final εhape, intermediate tank εhapes, etc. Furthermore, centerline, tick marks and grids for showing the trajectories and paths can also be specified for display. Under the menu "Display," submenuε εuch aε redraw screen and clear screen can also be selected to redraw the diεplay and clear the display. SOFTWARE - POST PROCESSOR The post Procesεor convertε the instruction to operate the apparatus to Apparatus Specific Motion Control Language: a) Convert Dynamic information into apparatus specific motion control language. (1) Example: generate RS 274 εtandard CNC (Computer Numerical Control) code for typical CNC controllers . b) Convert Procesε control parameters to apparatus specific process control language. c) Generates machine control software for motion control and PLC. (1) Software generates software (i.e., "Program Generator" software generates machine control software- -sort of a purpose built non native compiler for εingle or multiple processors that interact to control all procesε requirementε) . (2) Real time modification of any of the above baεed on sensor feedback. (3) Supportε E return--not juεt E Stop. (See termε deεcribed hereinabove) . (4) Allows for spinning of almoεt any εhape with a εingle form tool . SOFTWARE - SCHEMATIC FLOW REPRESENTATION After entering the necessary input parameters and initiating the calculation by the computer, when the operator is satiεfied with the diεplayed information, the operator implements the spinning process, as shown m Figures 33A and 33B. Figure 33B shows in more detail the flow of the software in implementing the spinning process calculations, based on the input parameters. Referring to Figure 33B, block 200 repreεents the input parameters (see block 200 in Figure 33A) . Baεed on the input parameterε, the arc length (AL) of the deεired final arcuate shape lε calculated (block 220) . Based on the desired final shape, the anticipated amount of extension (Ext) is calculated (block 222) . Having calculated the final arc length and the extension, the setback (SB) is calculated with the equation: SB = AL - Ext. The setback represents the distance from the free edge of the tube where the arcuate εhape of the final shape needs to start in order to achieve the deεired final shape. See block 224. The set of tangents are then calculated (block 226) . To specify the tangents, the start and stop points, as well as the speed of traveling of the forming tool are to be calculated. Based on the values of delta and tag specified, and an equation for calculating the local extension, the tangents for each path can be calculated. For example, the firεt tangent iε defined by one end point at the setback position of the tube. The other end point is at a point one radius from the rotational axis of the tube and one tag distance beyond the free edge. After selecting a direction of the tangent and a speed of movement of the forming roller, the tangent is. converted into machine tool coordinates. Based on the value of delta selected (i.e., input) the location of a temporary end point near the next desired free edge of the tube is calculated. Baεed on the deεired final εhape, and the temporary end point, the tangent location on the deεired final εhape is calculated. The final (i.e., adjusted from temporary) end point of this tangent is then calculated by taking into account the estimated local extension. A tag length is added thereto to provide the eεtimated εtraight path of the forming roller. Thiε process of calculating tangents based on previous tangent segments is repeated until (1) the metal has been exhausted, (2) no more tangents can be calculated, i.e., the desired final shape haε been formed, or (3) the estimated path of the forming roller has traveled over the tube rotational axis by an excessive amount (due to delta and tag) . The movement of the reference point of forming roller corresponding to the predicted path of the forming roller traversing from one tangent to the next tangent (i.e. between forming passes) is referred to as the "forming roller center hop" (item 89 in Figure 30B) . Based on the feed rates and directions selected for the tangents, the time for the movement of the forming roller can be estimated (block 228) . The locations of the tangents are then transformed into machine tool coordinates (block 230) . The location of a fixed point (e.g., the center of a form roller nose radius, 116 in Figure 29A, 118 in Figure 29B) relative to the tangent iε calculated. Then offεetε are added and scale factors are used to obtain their coordinates in the machine tool coordinate syεtem. The locationε of the inductive heating coil (or inductor) orcheεtrated with the movement of the forming tool are then calculated. The croεε sectional line of the inductor is located a certain diεtance from a tangent. The position of the inductor is mathematically extended past a free edge of the tube to a specified value of "overhang." The position of the inductor is then rotated to obtain the desired value of over-rotation (see Figure 28) . The distance of the cloεest approach of the inductor to the forming tool is calculated (when the forming roller is at the endε of the tangent pathε, uεing one tangent a head for the forming roller pathε, because the coil lags the forming roller by one pass) . If this distance is too small (e.g., less than 0.5 inch) the inductor is mathematically moved back along the line on which it lieε so that it is at the minimum specified separation distance from the forming roller. The input parameters and the calculated valueε of the poεition and motion of the forming tool and the inductive coil are then diεplayed as an output to interface with the operator (block 204) , as also shown in block 204 of Figure 33A. Referring again to Figure 33A, the post-processor translates the input parameters and the calculated values of positionε and motion into machine control language. This post-processor also addε intermediate motionε (item 89 on Figure 30B) between the passes for the forming roller (see Figures 28, 30B, and 31) . The heating coil locations are also transformed into machine tool (i.e., motion control) language. A feed rate is assigned to the inductive coil to move it from one position to the next. This feed rate is selected for quick movement of the coil as compared to the time the forming roller takes to traverse one tangent pasε. The orchestrated movement of the forming tool and the heating inductor coil is implemented by calculating the time to move the coil after the forming roller has completed traversing a pass. For example, when the coil is heating in position n, the forming tool is executing pass n + 1. The time for the forming roller to traverse the pass n + 1 is compared to the time the inductive coil iε in position n and adjusted if needed. Synchronization points between pasεeε are installed to ensure that the forming roller and the heating coil move in a orchestrated fashion. This synchronization compensateε for any cumulative errorε, εuch aε round off calculation errors, errors in transition time estimates due to acceleration/deceleration variations, etc. SOFTWARE - USER INTERFACE The apparatus and software enable an operator to input parameters for the spinning process, obtain display of the estimated (modeled) process, implement, and monitor the process. The display is preferably by means of a CRT. T,he software presentε a pull-down menu so that the operator can specify a screen display for displaying specific information. The following iε a list representing the items that can be selected from the menu: Display Contact Trajectorieε Form Roll Center Path Form Roll Center Hops Form Roll at Path Ends Desired Final Shape Actual Final Shape Intermediate Tank Shapes All Coil Positions Non-Interfering Coil Positions Shell Centerline & Tick Marks Grid Redraw Screen Clear Screen Specify Head Geometry Other Geometry Calculate Trajectorieε Poεt Generate RS-274 Code File Print RS-274 One of the ite ε that can be selected in the menu is "Diεplay." By εelecting thiε item, the operator can εelectively diεplay the contact trajectories, forming roller center paths, forming roller center hops, forming roller at path ends, desired final shape, actual final shape, intermediate tank shapes, etc. Furthermore, centerline, tick marks and grids for showing the trajectories and pathε can alεo be εpecified for diεplay. Under the menu "Diεplay, " εubmenus εuch aε redraw screen and clear screen can also be selected to redraw the display and clear the display. The menu item "Specify" can be selected to input parameters and to calculate trajectories. In this menu, submenu "Head Geometry" can be selected to specify the parameters (such as the radius of the tube, the semi minor axis for a ellipsoidal head) relating to the head, i.e., arcuate portion of the final shape. The submenu "Other Geometry" can be selected to specify other parameters (such as set back, tag, delta, tube length, and the like) relating to the geometry of the tube. The submenu "Calculate Trajectories" can be selected to mathematically calculate the estimated trajectories based on the input parameters. The menu item "Post" can be selected to generate the machine control language code for controlling the movement of the heating means and the forming roller. The menu item "File" can be selected to save the program, parameters, or to print out the RS-274 code. SOFTWARE - DESCRIPTION OF SPECIFIC SOFTWARE EMBODIMENT An embodiment illustrative of the software used for generating motions for spinning tanks is generally described as follows. In this embodiment, generally two types of software are used to spin tanks. The first package is a BASIC program which in turn automatically generates the second software package . The second software package is written (by the first program) in RS 274 language. RS 274 is a widely used motion control language. The first program is called a "program generator." Although preferred, the use of a program generator is not absolutely essential. One can use a drafting board or a CAD program to determine key geometrical locations and manually program the RS 274 code if desired. The software is written in a version of BASIC called Future BASIC, which has some features of C Language. The software runs on current generation MACINTOSH (or "Mac") brand of computer from Apple Computer Corp. The user interface is a typical, Mac like GUI (graphical user interface) . Like most GUIs this one is driven by user interrupts via interactive concepts like menus and mouse manipulations. It is to be understood the use of other types of computers are within the scope of this invention. The software architecture uses structured programming. The Software is directed by a MAIN program which calls subroutines, the subroutines are called "Functions" and appear in the code following Function statements. Some remarks usually follow the Function name and describe what the function does. Program control is traversed via Function calls. Functions call functions. When a function is completed, control of the program reverts to the next higher level function that called the just completed function. Many functions are called not just once, but many times. The order of the functions in the source code listing is related -to convenience of programming and does not necessarily mean that a function appearing in the list following another function is executed in that order. The majority of the source code listing is function definitions. The beginning of the source code contains global variable declarations and introductory comments. Variables have scope--i.e., they may be available to a function or may not be. In general only those variables with global scope or those variables defined within a function definition are available to that function. The program generates results based on input data. Data can be input in two ways. The first is through hard coded values in the source code. This means that to input a new value, the source code listing is edited, recompiled, and then the edited program is run. The second way to enter data is through the GUI. This is the preferred manner, since it is fast and interactive. Several classes of users may be defined, with different sets of input data being made available to different sets of users. The first method is more versatile, since any segment of the program can be modified in this way. The following is a list of key functions used in the MAIN program and a brief description of those functions. This program can be used to generate an output of RS 274 code for controlling machine movement. In the following list, the Function name is followed by a brief overview of the function. MAIN: This program calls the initialization routines, sets interrupt vectors (i.e., directs the code to transfer control to specific functions depending on what interrupt device waε invoked) and sets up the main event loop to poll for interrupts. Initialize: This function is called by the main program. It sets most of the input parameters, except for those input via the GUI. It also sets up the menus, and performs precalculations to suggest the correct setback to the user. Calclnterference: Tests for interference between the form tool and the heating coil. If there is interference, it creates a corrected position for the coil. ArcLengthQuart: Calculates the arc length of one quarter of an elliptical head. ExtensionFunction: Estimates how much arc length extension the shell will undergo by the time spinning is completed. Decouple: Calculates the desired amount of decoupling (which in turn is used to calculate over-rotation elsewhere) , based on a maximum amount of decoupling at the knuckle towards the end of the spinning process . We currently use an amount based on the square of the local coil angle. CalCoilPivot: There are many coordinate systems and coordinate transforms to work with in a spinning machine. This function converts the information on coil surface location in the tank coordinate system to the parameters controlling the coil position, which are the X, Y, Theta values for the pivot on which the coil is mounted. (These are converted to machine coordinates elsewhere) . CalcSpinTimes: This function calculates the duration of each move, based on the length of the move and the velocity of the move and forms an estimate of the total spinning time. This is important because the total cycle time determines how fast products can be made. CalcTrajectories : This function calculates the geometry associated with the forming tool and heating coil trajectories. The directions and velocities aεsociated with the trajectories are calculated and installed in a data structure elsewhere (see Post) . This function calculates the tangents, based on the input data including the end εhape and tagε, deltas, etc. The tangents referred to here are the straight portions of spinning passes referred to hereinabove. GetGeometry, GetHeadShape, GetSpecialPlotlnfo: These functions fetch the correct data from the user in response to the user selection of a menu item which represents a request by the user to input data. ShowCenterLineTicks, ShowCoilTrajectories, ShowEllipse, ShowFormRoll, ShowGrid, ShowIntermediateShapes, ShowSequence, ShowShell, ShowTrajectories: These functions are called via menu selections for displaying particular aspects of the tank spinning data. StandardCode: This function loads the output data structure with hard coded RS 274 code required by the machine at the beginning and end of our machine control programs . The program generator software is focused on generating all of the code that goes between this hard coded information. This function is included as a matter of convenience, so that this hard coded RS 274 information does not have to be added later on. GetMachineCoords : This function converts the geometric data from the tank coordinate system into machine coordinates and also calculates distances of each pass, it is used by the Post function to set velocities. Post: This function (in conjunction with Get MachineCoords) creates the RS 274 code required by the machine controller. It outputs the code to a text file, which is easily transferred (electronically or by disk) to the machine controller computer. It should be understood that the computer on which the program generator runs and the computer which controls the machine tool could be the same computer, or different types of computers. (The use of the name "Post" here derives from the phrase "Post Processor" which is a common term for software that converts data into a machine tool specific format.) doMenus, doMouse, doDialogs: These functions trap the user's interactive input selections and call the appropriate function(s) . TrapData: Thiε function traps user input data from a Mac specific window called a dialog box. This iε another typical way that the user can enter data. Several other functions, which would be apparent to one skilled in the art for implementing control of an apparatus using the system of the present invention, are not specifically discussed here. For example, some of these have top do with managing which CRT the plots go to on a computer system with two CRTs, others have to do with color selection, etc. The use of such functions are generally known in the art and are not described in detail herein. EXAMPLE A gas storage tank was made with an apparatus functionally equivalent to the preferred embodiment as shown in Figure 1. A carbon steel tube with an outside diameter of 16 inches was made by cutting a rectangular sheet of carbon steel of a thickness of 0.125 inch with a width of 52 inches. The rectangular sheet of carbon steel was rolled into a cylindrical shape by curving the 52 inch edges into a circular shape. In this manner, the other two opposite edges abutted each other to form a seam which was welded. The resulting carbon steel tube was mounted in the apparatuε . An inductive heating coil having a shape of a tube segment with a radius of 8.5 inches was positioned at the end portion of the tube with a clearance of about 0.5 inches between the heating coil and the tube. The tube was rotated and the end portion of the tube was heated to about 2100°F (1150°C) in about two minutes before the start of the spinning process. A wheel-shaped forming roller was applied to the end portion to round out the out-of-round irregularities before the forming roller was moved radially inward to create the arcuate portion. The arcuate portion was to have a 2:1 elliptical shape aε εhown in Figure 30A. Thirty-nine passes (successive lines of contact) were used to produce the final shape. The extension for each pass was calculated using the equation extension = Constant x radius x (((angle in rads) x (2/τr)) p) where the angle is 0 for an open end of a tube and equals τr/2 for a closed end, and p ranges from 0.5 to 1. The value of Constant is approximately 0.2 but changes slightly with temperature, end shape, and material thickness. The exact values of Constant and p were determined by performing a few runs and correcting for variations from the predicted values. The components of the apparatus were obtained from commercially available sources, as listed in the following table. Component Selection As previously stated, the method and apparatus of the present invention can be used to constrict the end portion of a tube. However, the present invention can be uεed to expand the end portion of a tube (e.g., to produce a flared end) by heating and applying preεsure while rotating the tube on its axis. In this case, the forming tool is to be pressed to the inner surface of the tube rather than the outer surface. The orchestrated movement of the apparatus, heating, programming of software, implementation of the process using software, and the like, can be done in a manner similar to the above-described embodiment. The present invention has been described in the foregoing specification. The embodiments are presented for illuεtrative purpoεeε and are not to be interpreted as unduly limiting the scope of the invention. It is to be understood that modifications and alterations of the invention, especially in size and shape, will be apparent to those skilled in the art without departing from the spirit and scope of the invention. For example, the straight portions of the lines of contact can be modified to have a slight curvature.

Claims: WHAT IS CLAIMED IS: 1. An apparatus for constricting an end of a metallic tube to form an arcuate-walled portion, the arcuate-walled portion having an outer surface, the apparatus comprising: (a) means for rotating the tube on its axis; (b) movable means for heating an end portion of the tube; and (c) forming rolling means including a forming roller adapted for applying pressure on the end portion of the tube along successive lines of contact to progresεively constrict the end of the tube, wherein the movement of the forming rolling means is orchestrated with the movement of the means of heating. 2. The apparatus according to claim 1 wherein each line of contact has a subεtantially εtraight portion. 3. The apparatuε according to claim 2 wherein the εtraight portionε of the lineε of contact are generally tangential to the outer surface of the arcuate-walled portion. 4. The apparatus according to claim 1 wherein the forming roller moves along a succession of paths each having a straight portion between proximal and distal, radially inward and radially outward end points relative to the tube to contact and apply pressure on the tube to urge the metal of the tube radially inward with travel of the forming roller on each succesεive path. 5. The apparatus according to claim 4 wherein the forming roller is a wheel-shaped roller. 6. The apparatus according to claim 1 wherein the forming roller is a cylindrical roller. 7. The apparatus according to claim 2 further comprising means for adjusting the εpacing of the successive lines of contact such that a εubstantially straight portion is more radially inward and more proximal than the straight portion of the preceding line of contact . 8. The apparatus according to claim 2 further comprising meanε for adjuεting the orientation of the forming "-oiler so that for each line of contact the axis of rotation of the forming roller is not parallel to the straight portion of the line of contact . 9. The apparatus according to claim 1 wherein the inductive coil means is movable in position relative to the tube to remain proximate to the end portion of the tube for inductive heating as the end portion of the tube changes shape . 10. The apparatus according to claim 9 wherein the inductive coil means has a surface having a recessed central portion for positioning proximate to the end portion of the tube . 11. The apparatus according to claim 10 wherein the inductive coil meanε haε a generally tube-segment-shaped coil with the concave surface facing the end portion to be heated. 12. The apparatus according to claim 1 wherein the heating means is an inductive coil meanε having an inductive coil whoεe orientation and poεition relative to the tube iε reconfigurable to conform to the εhape of the end portion of the tube and the heating meanε further haε a meanε for moving at leaεt one portion of the inductive coil means to conform to the shape of the end portion of the tube so that the coil means remains proximate the end portion of the tube for inductive heating as the end portion changes shape. 13. The apparatuε according to claim 12 wherein the inductive coil meanε haε a plurality of coilε independently movable relative to the tube to remain proximate to the end portion of the tube for inductive heating aε the end portion of the tube changeε shape . 14. The apparatus according to claim 12 wherein the inductive coil means is movable relative to the tube to remain proximate to the end portion of the tube for inductive heating as the end portion of the tube changes εhape. 15. The apparatuε according to claim 1 wherein the end of the tube iε constricted to form a closed arcuate end. 16. The apparatuε according to claim 1 further compriεing computer meanε for automatically controlling the heating meanε and the forming rolling meanε to move orchestratedly relative to the end portion of the tube as the tube progressively changes shape. 17. The apparatus according to claim 1 further comprising detectors for detecting temperature, force, and speed of rotating for controlling orchestrated movement of the heating means and the forming rolling means. 18. The apparatus according to claim 1 wherein the rotating means comprises a means for securing the tube in the means for rotating wherein the means for εecuring is adapted to secure a tube that is out-of-round. 19. The apparatus according to claim 1 wherein the apparatus is adapted to construct a tube of diameter to thickness ratio of greater than 50 : 1 and result in an arcuate portion having a thickness of 1.0 to 2. 5 times the original thicknesε of the tube. 20. An apparatuε for inductively heating an end portion of a tube wherein the end portion progreεεively changeε shape, comprising: (1) inductive coil meanε having an inductive coil whose orientation and position relative to the tube iε reconfigurable to conform to the εhape of the end portion of the tube; and (2) means for moving at least one portion of the inductive coil meanε to adapt to the changing εhape of the tube to heat a desired portion of the tube. 21. The apparatuε according to claim 20 wherein varying portionε of the tube is heated as the tube progresεively changeε shape. 22. The apparatus according to claim 20 wherein the inductive coil means is moved to conform to the shape of the end portion of the tube so that the coil remains proximate the end portion of the tube for inductive heating. 23. The apparatus according to claim 20 wherein the inductive coil means includes two or more inductive coils that can move relative to each other to conform to the shape of the end portion of the tube. 24. The apparatuε according to claim 20 wherein the inductive coil meanε haε an inductive coil that includeε two or more coil portionε nonrigidly jointed together so that the coil portions can move relative to each other to conform to the shape of the end portion of the tube . 25. The apparatuε according to claim 20 wherein the inductive coil meanε can move relative to the tube to remain proximate to the end portion of the tube for inductive heating. 26. The apparatuε according to claim 20 wherein the inductive coil meanε has a recessed surface for positioning proximate to the end portion of the tube. 27. The apparatus according to claim 26 wherein the inductive coil means has a generally tube-segmen -shaped coil . 28. The apparatuε according to claim 20 further compriεing computer meanε for controlling the movement of the at leaεt one portion of the inductive coil means to adapt to the changing εhape of the tube. 29. A method of inductively heating an end portion of a metallic tube, wherein the end progressively changes shape, comprising: (a) positioning an inductive coil means having an inductive coil so that the inductive coil is proximate the end portion of the tube for inductive heating,- (b) producing a magnetic field using the inductive coil means; and (c) reconfiguring the orientation of the inductive coil relative to the tube to conform to the shape of the end portion of the tube as the shape of the tube changes so that the inductive coil remains proximate to the end portion of the tube for inductive heating. 30. The method according to claim 29 wherein the inductive coil meanε has a coil that includes two or more inductive coil portions nonrigidly jointed together so that the coil portions are movable relative to each other to conform to the shape of the end portion of the tube. 31. The method according to claim 29 wherein the inductive coil means has a generally tube-segment-shaped coil having a concave surface suitable for positioning proximate to a portion of the end portion of the tube as the tube changes shape. 32. A method for constricting an end of a metallic tube to form an arcuate-walled portion, the arcuate-walled portion having an outer surface, the method comprising: (a) rotating the tube on its axis; (b) heating an end portion of the tube; and (c) applying pressure on the end portion of the tube along successive lines of contact, each line of contact having a subεtantially εtraight portion, to progreεεively conεtrict the end of the tube . 33. The method according to claim 32 wherein the lineε of contact are generally tangential to the outer εurface of the arcuate-walled portion. 34. The method according to claim 32 wherein the pressure is applied by a forming roller moving along a succeεεion of εtraight pathε between proximal and diεtal, radially inward and radially outward end pointε relative to the tube εo that metal of the tube is spun radially inward and distally with the travel of the forming roller on each successive path. 35. The method according to claim 32 further comprising a εtep of rounding the end portion of the tube to a more cylindrical shape between steps (b) and (c) . 36. A method for constricting an end of a metallic tube having a diameter to thickness ratio of more than 50:1 to form an arcuate-walled portion, the arcuate-walled portion having an outer surface, the method comprising: (a) rotating the tube on its axis; (b) inductively heating an end portion of the tube; and (c) applying preεεure on the end portion of the tube along successive lines of contact, each line of contact having a substantially straight portion that is generally tangential to the outer surface of the arcuate-walled portion, to progressively constrict the end of the tube. 37. The method according to claim 36 wherein the presεure is applied by a forming roller moving along a succesεion of paths having straight portions between proximal and diεtal, radially inward and radially outward end pointε relative to the tube so that metal of the tube iε spun radially inward and distally with the travel of the forming roller on each succeεsive path and wherein the inductive heating is by means of an inductive coil means having a movable generally tube-segment-shaped inductive coil having a concave surface suitable for poεitioning proximate to the end portion of the tube aε the tube changeε shape . 38. The method according to claim 36 wherein the inductive coil means is moved to position the inductive coil proximate the end portion of the tube as the tube changes shape. 39. A method for conεtricting an end of a metallic tube to form an arcuate-walled portion, the arcuate-walled portion having an outer εurface, the method compriεing: (a) rotating the tube on itε axiε; (b) applying presεure on an end portion of the tube to progreεεively conεtrict the end of the tube; and (c) orchestratedly heating and applying pressure to the end portion of the tube at varying locations thereof as the tube progressively changes shape . 40. The method according to claim 39 wherein the heating and applying pressure are done simultaneouεly and independently. 41. The method according to claim 39 wherein the orchestrated heating varieε in radial location relative to the tube . 42. A metallic tubular εtructure with a diameter to thickneεs ratio of more than 50:1 and having at least one constricted end with an arcuate-walled portion, the arcuate- walled portion having an outer surface, the constricted end being made by the method comprising: (a) rotating a metallic tube on its axis; (b) inductively heating an end portion of the tube; and (c) applying presεure on the end portion of the tube along successive lines of contact, each line of contact having a substantially straight portion, to progresεively constrict the end of the tube that are generally tangential to the outer surface of the arcuate-walled portion to progressively constrict the end of the tube. 43. The metallic tubular εtructure according to claim 42 wherein the metallic tubular εtructure is a cylindrical tank having two constricted ends with an arcuate-walled portion. 44. The metallic tubular structure according to claim 43 wherein the metallic tubular εtructure iε a cylindrical tank having two constricted ends each with an arcuate-walled portion wherein the metallic tube is formed by rolling a single sheet of metal into a tubular shape with a seam and welding the seam. 45. A computer system for controlling a forming tool and a heating means for conεtricting a rotating tube, the computer system comprising: means for receiving input parameters; meanε for calculating, based on the input parameter, the orientation and positionε of the forming tool and the heating meanε for orchestrated movement of the forming tool and the heating means relative to the tube as the tube changes shape to constrict the tube; meanε for displaying the information on the orientation and positionε of the forming tool and the heating means; and meanε for tranεferring the information of calculated orientation and positionε to meanε that move the forming tool and the heating means.

Inventors: HOFFMANN BENJAMIN R, STASKELUNAS DAVID A, HOFFMANN, BENJAMIN, R., STASKELUNAS, DAVID, A.
Applicants: TANDEM SYS INC, TANDEM SYSTEMS, INC.
Application year: 1995
Main classification: B21D22
IPC codes: B21D22, B21D41, B21D51