Vibrator, vibratory gyroscope, and vibrator adjusting method

Abstract: A vibrator of a vibratory gyroscope comprises a main arm having a base part and at least one bending-vibration piece extending from the base part in a direction crossing the longitudinal direction of the base part and a fixing part for fixing one end of the base part, and the base part and the bending-vibration piece are formed so as to extend substantially in a specified plane. Preferably, at the opposite side to one end of the base part, a projection projecting from the bending-vibration piece is provided, or at least a pair of resonant arms resonating with vibration of the base part, said pair of resonant arms projecting from the fixing part are provided. Thanks to this, it has been possible to detect a turning angular rate in a sufficiently high accuracy without providing a projection which has a certain weight and extends from the vibrator toward the axis of turning even in case of arranging the vibrator so that the vibration arm of the vibrator extends perpendicularly to the axis of turning.

Description: 1. Field of the Invention The present invention relates to a vibratory gyroscope used as an angular rate sensor for detecting a turning angular rate in a turning system. 2. Description of the Related Art Up to now, as an angular rate sensor used for detecting a turning angular rate in a turning system, a vibratory gyroscope using a piezoelectric member has been used for detecting position of an aircraft, a ship, a space satellite, or the like. Recently, it is used in a car-navigation system, a movement detecting mechanism of a VTR or a still camera, and the like in the field of public livelihood. Such a vibratory gyroscope utilizes that when an angular speed is applied to a vibrating object, a Coriolis force is generated in the direction perpendicular to the vibratory direction. Its mechanism is analyzed by using a dynamic model (for example, "Handbook of Elastic Wave Device Technologies" (Danseiha-Sosi Gijutsu Handbook) issued by Ohm, Inc., pp.491 to 497). Various kinds of piezoelectric vibratory gyroscopes have been proposed up to now. For example, a Sperry tuning-fork gyroscope, a Watson tuning-fork gyroscope, a regular-triangle prism-shaped tuning-piece gyroscope, a cylindrical tuning-piece gyroscope, and the like are known as a piezoelectric vibratory gyroscope. The inventors are studying various applications of vibratory gyroscopes, and have studied using a vibratory gyroscope as a turning rate sensor used in a car control method of an automobile body turning rate feedback system, for example. Such a system detects the direction of a steering wheel itself by a turning angle of the steering wheel. At the same time as this, the system detects a turning rate of the actually turning car body by means of a vibratory gyroscope. The system finds a difference between the direction of the steering wheel and the actual body turning rate by comparing them with each other, and attains a stable body control by compensating a wheel torque and a steering angle on the basis of this difference. However, any example of the above-mentioned former piezoelectric vibratory gyroscopes can detect a turning angular rate only by arranging a vibrator in parallel with the axis of turning (what is called a vertical arrangement). The turning axis of a turning system to be measured is usually perpendicular to the gyroscope mounting part. Accordingly, in mounting such a piezoelectric vibratory gyroscope it has been impossible to shorten the piezoelectric vibratory gyroscope in height, namely, to reduce the piezoelectric vibratory gyroscope in size in the direction of the turning axis. In recent years, a piezoelectric vibratory gyroscope capable of detecting a turning angular rate even when arranging a vibrator perpendicularly to the turning axis (what is called a horizontal arrangement) has been proposed in a Japanese laid-open publication Tokkaihei No.8-128833. In this example, as shown as an example in Figure 1, a vibrator extends in the directions X and Y, namely, extends perpendicularly to the turning axis Z. Each of three elastic members 51a, 51b and 51c is provided with a weight 53 at one end of it. The elastic members 51a, 51b and 51c are vibrated by piezoelectric devices 54 and 55 in the X-Y plane in phase inverse to one another. A Coriolis force in the Y direction generated by a turning angular rate ω around the Z axis is applied to the center of gravity of the weight 53. Since the plane of the elastic members 51a, 51b and 51c and the center of gravity of the weight 53 are slightly distant in the Z direction from each other, the ends of the elastic members 51a, 51b and 51c are bent reversely to one another in the Z direction by the Coriolis forces each of which is applied to the center of gravity of the weight 53. A turning angular rate ω around the Z axis is obtained by detecting this bending vibration by means of piezoelectric devices 56 and 57. And up to now, various compositions have been known as a vibratory gyroscope using a vibrator which is composed of plural arms and a base part joining the plural arms, gives a drive vibration in a specified plane to each of the arms, and obtains a turning angular rate on the basis of a detection vibration which is perpendicular to this drive vibration and corresponds to the applied turning angular rate. For example, a Japanese laid-open publication Tokkaihei No. 7-83671 has disclosed a vibratory gyroscope using a tuning-fork vibrator made by joining three arms composed of a middle drive arm and two detection arms at both sides of the middle drive arm in one body at the base part. Figure 2 shows a composition example of such a former vibratory gyroscope. In the example shown in Figure 2, a vibrator 102 forming a vibratory gyroscope is composed of three arms which are composed of a middle drive arm 104 and two detection arms 103 and 105 arranged at both sides of it nearly in parallel with it, and a base 106 at which the drive arm 104 and the detection arms 103 and 105 are joined in one body with one another. In the above-mentioned tuning-fork vibrator 102, the drive arm 104 is vibrated in the X-Z plane by an unillustrated driving means provided on the drive arm. And the left and right detection arms 103 and 105 are resonated in the same X-Z plane. When a turning angular rate ω acts around the axis Z of symmetry of the tuning-fork vibrator 102, a Coriolis force f acts on each of the detection arms 103 and 105. Since the detection arms 103 and 105 are vibrating in the X-Z plane, vibration in the Y-Z plane is induced in the detection arms 103 and 105. A turning angular rate is measured by detecting this vibration by means of an unillustrated detecting means provided on each of the detection arms 103 and 105. Other forms of vibratory gyroscopes of the tuning fork type are disclosed in US-A-4654663, US-A-5481913 and WO96/26445. US-A-5166571 describes a vibratory gyroscope having an H-shape vibrator, with driving piezoelectric elements on sidewalls of the arms extending in the thickness direction of the H-shape and detecting electrodes on a centre portion corresponding to the cross-bar of the H-shape. Rotation around an axis parallel to the arms and parallel to the plane of the H-shape generators bending out of the plane of the H-shape which is detected as a torsion at the centre portion. SUMMARY OF THE INVENTION A piezoelectric vibratory gyroscope disclosed in the above-mentioned Japanese laid-open publication Tokkaihei No. 8-128833 can certainly detect a turning angular rate on the principle even in case of arranging horizontally its vibrator. However, necessity of providing the weight 53 makes it insufficient to shorten the gyroscope in height. And when the weight 53 is made thin in thickness in order to sufficiently shorten it in height, moment by a Coriolis force is made small and a bending vibration is made very small, and there is a problem that a measurement sensitivity is lowered. And in a vibrator of a piezoelectric vibratory gyroscope having the above-mentioned composition, the drive vibration and the detection vibration are different in the vibrating direction from each other due to composition of the vibrator. That is to say, that vibrator needs such vibrations in two directions that the elastic members 51a, 51b and 51c which are vibrating in the X-Y plane need to vibrate also in the Z direction. Generally in a piezoelectric vibratory gyroscope, it is required to keep always a constant relation between a vibration frequency for driving and a vibration frequency for detection in order to keep a good measurement sensitivity. Now, considering a single crystal as a material for a vibrator, since a single crystal is anisotropic, variation in vibration frequency caused by a temperature change varies with the direction of vibration. Therefore, attempting to form a vibrator having the above-mentioned composition out of a single crystal causes a problem that even in case of setting a constant relation between a drive vibration frequency and a detecting vibration frequency at a certain temperature, when the temperature is changed the relation cannot be kept and the measurement sensitivity is liable to vary with the temperature. In a former vibratory gyroscope of the above-mentioned composition shown in Figure 2, in case of forming the vibratory gyroscope by supporting the tuning-fork vibrator 102, the vibrator 102 is supported by fixing the entire end part 107 of the base part 106 of the tuning-fork vibrator 102 opposite to the end part at which the drive arm 104 and the detection arms 103 and 105 exist, or by fixing an unillustrated supporting arm at a position of this end part 107 corresponding to the axis Z of symmetry. Therefore, it cannot be said that a Coriolis force generated by a turning angular rate is efficiently utilized for action of detection vibration in the detection arms 103 and 105, and there is a problem that sharpness of resonance (Q value) of the detection vibration in the Y-Z plane in the detection arms 103 and 105 is low and the measurement sensitivity is low. On the other hand, as a turning angular rate detecting method, both of an ordinary vibratory gyroscope having a vertically-arranged vibrator and a vibratory gyroscope having the above-mentioned horizontally-arranged vibrator electrically take in vibration of the vibrator different in mode from a drive vibration generated by a Coriolis force as displacement of a piezoceramic member, and measures a turning angular rate on the basis of the amplitude of the output signal. However, since a vibratory gyroscope having a horizontally-arranged vibrator composed of a piezoelectric single crystal has a low sensitivity to a turning angular rate due to its composition, there is a problem that it deteriorates a detection accuracy to measure a turning angular rate on the basis of the amplitude of an output signal. In order to solve the problem of noises caused by such external factors as a voltage fluctuation, a temperature change and the like, a technique which pays attention to a fact that a phase difference between the phase of a driving signal and the phase of an output signal is changed by a Coriolis force in a vertically-arranged tuning-piece vibrator, and measures a turning angular rate on the basis of variation of the phase difference has been disclosed in a Japanese patent publication Tokkohei No. 4-14734. However, even by applying the above-mentioned detection of a turning angular rate on the basis of variation in phase difference to a vibratory gyroscope having a horizontally-arranged vibrator composed of a piezoelectric single crystal, a satisfactory result cannot be obtained in measurement sensitivity and in linearity of a phase difference to a turning angular rate. A problem the present invention attempts to solve is to make it possible to detect a turning angular rate in a sufficiently high accuracy without providing a projection having a certain weight from a vibrator toward the axis of turning even in case of setting up the vibrator in a direction in which a vibrating arm of the vibrator extends perpendicularly to the axis of turning. Another problem the invention attempts to solve is to provide a vibrator of a vibratory gyroscope which can be simplified in composition, be horizontally arranged in mounting, and be reduced in height, a method for adjusting the same vibrator, and a vibratory gyroscope using the same vibrator. An object of the invention is to provide a vibratory gyroscope capable of measuring a turning angular rate in a high sensitivity by solving the above-mentioned problems. Another object of the invention is to provide a vibratory gyroscope using a horizontally-arranged vibrator composed of a piezoelectric single crystal, said vibratory gyroscope being improved in detection accuracy of a turning angular rate. According to the invention in one aspect then is provided a vibratory gyroscope as set out in claim 1. In a second aspect, the invention provides a vibratory gyroscope as set out in claim 29. Since according to the invention a drive vibration and a detection vibration of a vibrator take place in a specified plane and the invention uses a bending vibration as vibration to be detected, the invention can detect a turning angular rate with a sufficiently high sensitivity without providing a projection of a certain weight from the vibrator toward the axis of turning, even in case of setting up the vibrator so that a vibrating arm of the vibrator extends perpendicularly to the axis of turning. In the invention, since displacement of the vibrator is in a plane, the base part the vibration member, and the fixing part can be made of the same single crystal, for example, a single crystal of quartz, LiTaO 3 , or LiNbO 3 . In this case, the measurement sensitivity can be improved. The whole of a vibrator can be made by making a single crystal thin plate and processing this single crystal thin plate by means of etching or grinding. Although the base part and the vibration member can be made of different members from each other, it is particularly preferable that they are formed in one body. Although a material for the vibrator is not limited in particular, it is preferable to use a single crystal of quartz, LiNbO 3 , LiTaO 3 , a solid solution of lithium niobate-lithium tantalate (Li(Nb, Ta)O 3 , or the like. By using such a single crystal, it is possible to improve a detection sensitivity and reduce detection noise. And since such a single crystal is particularly insensitive to a temperature change, it is suitable for a sensor used in a car which sensor needs a thermal stability. This point is further described. As an angular speed sensor using a tuning-fork vibrator, there is for example a piezoelectric vibratory gyroscope disclosed in the above-mentioned Japanese laid-open publication Tokkaihei No. 8-128833. In such a vibrator, however, the vibrator vibrates in two directions. That is to say, in Figure 1, the vibrator vibrates in the Z direction as well as in the X-Y plane. Therefore, particularly in case of forming the vibrator out of such a single crystal as described above, it is necessary to match the characteristics of the single crystal in the two directions with each other. In practice, however, a piezoelectric single crystal is anisotropic. Generally in a piezoelectric vibratory gyroscope, in order to keep a good sensitivity, it is required to keep a constant vibration frequency difference between a natural resonance frequency of a drive vibration mode and a natural resonance frequency of a detection vibration mode. However, a single crystal is anisotropic and a degree of variation in vibration frequency caused by a temperature change varies with the crystal face. For example, although variation in vibration frequency caused by a temperature change is very little in case of cutting a single crystal along a specific crystal face, variation in vibration frequency is very sensitive to a temperature change in case of cutting the single crystal along another crystal face. Thus, in case that a vibrator vibrates in two directions, at least one of the two vibrating faces is a crystal face having a large variation in vibration frequency caused by a temperature change. On the other hand, in the invention, by making the whole of a vibrator vibrate in a specified plane and forming the vibrator out of a piezoelectric single crystal it is possible to prevent the vibrator from being influenced by anisotropy of a single crystal as described above and use only the best crystal face in characteristics of the single crystal in the vibrator. Since every vibration of the vibrator takes place in a single plane, it is possible to manufacture a vibrator using only a crystal face having little variation in vibration frequency caused by a temperature change of a single crystal. Therefore, it is possible to provide a vibratory gyroscope having a very high thermal stability. Among the above-mentioned single crystals, single crystals of LiNbO 3 , LiTaO 3 , and a single crystal of a solid solution of lithium niobate-lithium tantalate have particularly large electromechanical coupling coefficients. Comparing a single crystal of LiNbO 3 and a single crystal of LiTaO 3 with each other, the single crystal of LiTaO 3 has a larger electromechanical coupling coefficient and a better thermal stability than the single crystal of LiNbO 3 . Although the piezoelectric single crystal which is a material for the vibrator is not limited in particular, it is particularly preferable that a single crystal is quartz, lithium niobate, lithium tantalate, a solid solution of lithium niobate-lithium tantalate, langasite, or lithium tetraborate, and it is more preferable that a single crystal is lithium niobate, lithium tantalate, a solid solution of lithium niobate-lithium tantalate, or langasite. Among the above-mentioned single crystals, single crystals of quartz, LiNbO 3 , LiTaO 3 , and (Li(Nb, Ta)O 3 have particularly large electromechanical coupling coefficients. Comparing a single crystal of LiNbO 3 and a single crystal of LiTaO 3 with each other, the single crystal of LiTaO 3 has a larger electromechanical coupling coefficient and a better thermal stability than the single crystal of LiNbO 3 . And it is possible to exemplify lead zirconate titanate (PZT), relaxer compounds (general expression: Pb(A1/3B2/3)O3 where A is Cd, Zn, Mg or the like, and B is Nb, Ta, W or the like), a piezoelectric single crystal of a mixed crystal system of lead zirconate titanate and a relaxer compound, langasite, and lithium tetraborate. In the vibrator, its main surface may preferably have a flatness of not larger than 100 µm, and an angle at the base part and the vibration member may preferably be not smaller than 45°. BRIEF DESCRIPTION OF THE DRAWINGS Figure 1 is a perspective view showing a known vibrator; Figure 2 is a perspective view showing a known vibrator; Figures 3 to 23 show embodiments of the present invention; Figure 3 is a front view of a vibratory gyroscope of an embodiment; Figure 4(a) is a front view for explaining a vibration direction of a linear vibrator; Figure 4(b) is a front view for explaining a drive direction of the vibrator of Figure 3; Figures 5(a), 5(b) and 5(c) are schematic diagrams for explaining vibration directions of the respective parts of the vibrator of Figure 3 and the principle of vibration of it; Figure 6 is a front view of a vibratory gyroscope using a fixing piece part; Figure 7 is a front view of another vibratory gyroscope using a fixing piece part; Figure 8 is a front view of a further other vibratory gyroscope using a fixing piece part; Figure 9 is a front view showing a vibrator whose bending-vibration pieces are not perpendicular to a base part; Figure 10 is a front view showing a vibrator whose bending-vibration pieces are curved in shape; Figure 11 is a front view of a vibrator having a projection 35 projecting further from its bending-vibration piece; Figure 12 is a perspective view roughly showing a vibratory gyroscope using a vibrator comprising a main arm 101F and a pair of resonate arms; Figure 13(a) is a diagram showing the form of a drive vibration of the vibrator of Figure 11; Figures 13(b) and 13(c) are diagrams showing the form of a detection vibration of the vibrator of Figure 11; Figure 14 is a perspective view roughly showing a vibratory gyroscope using a vibrator comprising a main arm 101G and a pair of resonate arms; Figure 15 is a perspective view roughly showing a vibratory gyroscope using a vibrator comprising a main arm 101H and a pair of resonate arms, both sides of which are different in size; Figure 16 is a perspective view of the vibratory gyroscope of Figure 15; Figure 17 is a graph showing a relation between dimension a and variation in the natural frequencies of a drive vibration and a spurious vibration of the vibratory gyroscope shown in Figures 15 and 16; Figure 18 is a perspective view roughly showing a vibratory gyroscope provided with a main arm 101I and a pair of resonant arms, wherein a voltage applying direction to the main arm and a voltage applying direction to the resonant arms make an angle of 120 degrees with each other; Figure 19 is a perspective view roughly showing a vibratory gyroscope provided with a main arm 101J and a pair of resonant arms, wherein a voltage applying direction to the main arm and a voltage applying direction to the resonant arms make an angle of 120 degrees with each other; Figure 20 is a perspective view roughly showing a vibratory gyroscope provided with a main arm 101N and a pair of resonant arms, wherein a voltage applying direction to the main arm and a voltage applying direction to the resonant arms make an angle of 15 degrees respectively to axes a; Figure 21 is a perspective view roughly showing a vibratory gyroscope using a vibrator provided with a main arm 101K and a pair of resonant arms, wherein each of the bending-vibration piece and the resonant arms is provided with a through hole; Figure 22 is a perspective view roughly showing a vibratory gyroscope using a vibrator provided with a main arm 101L and a pair of resonant arms, wherein each of the bending-vibration piece and the resonant arms is provided with a through hole; Figure 23 is a perspective view roughly showing a vibratory gyroscope using a vibrator provided with a fixing piece part 12, a main arm 101L, a pair of resonant arms 92A and 92B, a resonant piece 103, and a pair of second resonant arms 97A and 97B; Figure 24 is a figure showing the structure of a further example of a vibrator used in the invention; Figure 25 is a figure showing the structure of yet another example of a vibrator of the invention; Figure 26 is a front view showing a vibrator of a further embodiment of the invention. DESCRIPTION OF THE PREFERRED EMBODIMENTS OF THE INVENTION Figure 3 is a front view showing a vibrator of an embodiment of the invention, Figure 4(a) is a front view for explaining a direction of vibration of a linear vibrator, Figure 4(b) is a front view for explaining a direction of vibration of the vibrator of Figure 3, and Figures 5(a), 5(b) and 5(c) are schematic diagrams for explaining vibration directions of the respective parts of the vibrator of Figure 3 and the principle of vibration of it. In a main arm 101A of a vibrator 2 of Figure 3, a base part 3 extends from and perpendicularly to a fixing part 1, and one end part 3a of the base part 3 is fixed on the fixing part 1. Specified exciting means 5A and 5B are provided in the base part 3. Two vibration members in the form of bending-vibration pieces 4A and 4B extending perpendicularly to the base part 3 are provided at the other end part 3b of the base part 3. A vibration mode of this vibrator 2 is described. As schematically shown in Figure 5(a), the base part 3 is bent in the direction of arrow H around a joint 26 of it and the fixing member 1 by applying a drive voltage to the exciting means 5A and 5B. With this bending, not only the base part 3 of the vibrator 2 but also each point of the bending-vibration pieces 4A and 4B are moved as shown by arrow I. A velocity vector of this movement is assumed as V. In this embodiment, the Z axis is the axis of turning, and the vibrator 2 is turned around the Z axis. For example, when the vibrator 2 is moved in the direction of arrow H and the whole vibrator 2 is turned around the Z axis as shown by arrow w, a Coriolis force acts as shown by arrow J. As a result, as shown in Figure 5(b), the bending-vibration pieces 4A and 4B are bent in the direction of arrow J around a joint 25 of the other end part 3b of the base part 3 and the bending-vibration pieces. On the other hand, as shown in Figure 5(c), when the base part 3 is driven in the direction of arrow K and the whole vibrator 2 is turned around the Z axis as shown by arrow ω, a Coriolis force acts as shown by arrow L. As a result, the bending-vibration pieces 4A and 4B are bent in the direction of arrow L around the joint 25 of the other end part 3b of the base part 3 and the bending-vibration pieces. In this way, the bending-vibration pieces 4A and 4B can be vibrated as shown by arrows A and B. In this way, it is possible to convert a Coriolis force generated in the X-Y plane in the bending-vibration pieces 4A and 4B to a bending vibration around the joint 25 of the bending-vibration pieces 4A and 4B, and obtain a turning angular rate on the basis of the bending vibration. Thanks to this, even in case that the vibrator is arranged perpendicularly to the axis Z of turning (horizontally arranged), a turning angular rate can be detected in high sensitivity. The sensitivity of detection by the vibrator 2 shown in Figures 3 and 5 is furthermore described. As shown in Figure 4(a), the inventors use a vibrator 8A and 8B in the shape of a long and narrow stick, set the vibrator 8B in the X-Y plane, and extend and contract it. Hereupon, 8A represents a state where the vibrator is extended and 8B represents a state where the vibrator is contracted. Hereupon, a moment when the vibrator is going to extend as shown by arrow E toward the state 8A from the state 8B is considered. When the vibrator 8B is turned around the Z axis, a Coriolis force acts as shown by arrow F. However, since displacement of such a piezoelectric member caused by longitudinal vibration is small and its resonance frequency is low, the sensitivity cannot be made high. On the other hand, as shown in Figure 4(b), the invention vibrates the base part 3 as shown by arrow G and thus vibrates the bending-vibration pieces 4A and 4B as shown by arrow D. In this way, it is possible to obtain a much larger amplitude, a much larger vibration speed and a greater Coriolis force than the case of Figure 4(a). And in case of using the vibrator shown in Figures 3 and 5, it is possible to excite a bending vibration in the bending-vibration pieces 4A and 4B as shown by arrows A and B. When the vibrator 2 turns in the X-Y plane, a Coriolis force is applied to each of the bending-vibration pieces and the Coriolis forces of the bending-vibration pieces are applied to the base part 3. By this, the base part 3 performs a bending vibration around the joint 26 as shown by arrow G. It is possible to detect the bending vibration of the base part 3 and output a signal according to the detected bending vibration. In case of forming the vibrator out of a piezoelectric single crystal, electrodes are used as exciting means and detecting means 5A, 5B, 6A, 6B, 6C and 6D. However, the vibrator can be formed out of an elastic material, and in this case, piezoelectric members provided with electrodes can be used as exciting means and detecting means 5A, 5B, 6A, 6B, 6C and 6D. And in case that there is one of the exciting means (or detecting means) 5A and 5B, at least one of excitation and detection of vibration can be performed. And in case that there is one of the detecting means (or exciting means) 6A, 6B, 6C and 6B, at least excitation (or detection) of vibration can be performed. In embodiments shown in Figures 6 to 8, a main arm is provided at one side of a fixing piece part both ends of which are fixed, a resonant piece is provided at the other side of the fixing piece part, and the fixing piece part, the main arm and the resonant piece are formed so as to extend substantially in a specified plane. In the embodiment of Figure 6, an exciting means side and a detecting means side are separated by a fixing piece part 12. Concretely, both ends of the fixing piece part 12 are fixed by fixing members 11. A main arm 101B is provided at one side of the fixing piece part 12. The main arm 101B is provided with a long and narrow base part 16 and two bending-vibration pieces 4A and 4B extending from an end part 16b of the base part 16 in a direction perpendicular to the longitudinal direction of the base part 16. A resonant piece 32 is provided at the other side of the fixing piece part 12. The resonant piece 32 is provided with a rectangular supporting part 13 extending from and perpendicularly to the fixing piece part 12, and specified exciting means 5A and 5B are provided in the supporting part 13. Two vibration pieces 15A and 15B extending perpendicularly to the supporting part 13 are provided at the other end 13b side of the supporting part 13. The end part 16a of the base part 16 and the end part 13a of the supporting part 13 are joined to the fixing piece part 12. In this way, both sides of the fixing piece part 12 are nearly line-symmetric to each other. A vibration mode of this vibrator 10 is described. By applying a driving voltage to the exciting means 5a and 5B, the supporting part 13 and the pair of vibration pieces 15A and 15B are vibrated around the joint 27 of the fixing piece part 12 and the supporting part 13 as shown by arrow M. In resonance with this vibration, the base part 16 and the pair of vibration pieces 4A and 4B are vibrated around the joint 26 of the fixing part 12 and the base part 16 as shown by arrow D. When the whole of this vibrator 10 is turned around the axis Z of turning, a Coriolis force acts on each of the bending-vibration pieces 4A and 4B as described above. As the result, the bending-vibration pieces 4A and 4B are vibrated around the joint 25, respectively, as shown by arrows A and B. In this way, it is possible to convert a Coriolis force generated in the X-Y plane in the bending-vibration pieces 4A and 4B by the bending vibration of the resonant piece 32 to a bending vibration around the joint 25 of the bending-vibration pieces 4A and 4B, and obtain a turning angular rate on the basis of this bending vibration. Thanks to this, even in case that the vibrator is arranged perpendicularly to the axis Z of turning (horizontally arranged), a turning angular rate can be detected in high sensitivity. In the embodiment of Figure 6, in the vibrator 10, the resonant piece 32 and the main arm 101B are mirror-symmetric in shape to each other in relation to the fixing piece part 12, and by this the natural resonance frequencies of the respective vibration modes of the resonant piece and the main arm are matched with each other. However, it is not necessary that the resonant piece 32 and the main arm 101B are line-symmetric in shape to each other in relation to the fixing piece part 12. In a vibrator 20 of Figure 7, since a main arm 101B composed of a base part 16 and a pair of bending-vibration pieces 4A and 4B, and a fixing piece part 12 are the same in shape as those shown in Figure 6, description of them is omitted. A long and narrow rectangular resonant piece 21 extends from the fixing piece part 12 perpendicularly to it. Exciting means 5A and 5B are provided near an end part 21a at the fixing piece part 12 side of the resonant piece 21. By applying a driving voltage to the exciting means 5A and 5B, the resonant piece 21 is vibrated around the joint 27 of it and the fixing piece part 12 as shown by arrow M. In resonance with this vibration, the base part 16 and the pair of bending-vibration pieces 4A and 4B are vibrated around the joint 26 of them and the fixing member 11 as shown by arrow D. In this way, the whole vibrator is more simplified in structure in comparison with the embodiment of Figure 6 by forming the resonant piece 21 into a long and narrow rectangle. So as not to make large a frequency difference between the vibration frequency at the exciting side and the vibration frequency at the detection side of the fixing piece part 12, it is necessary to adjust both sides so that they are nearly equal in moment to each other. Comparing the resonant piece 21 of Figure 7 with the resonant piece 32 of Figure 6 from this viewpoint, in Figure 7 there are not the vibration pieces 15A and 15B, and there are not weights of them. Therefore, it is necessary that the height of the top end 21b of the resonant piece projecting from the fixing piece part 12 is higher than the height of the resonant piece 32 projecting from the fixing piece part 12, namely, that the resonant piece 21 is heavier in weight than the supporting part 13. Accordingly, the resonant piece 21 projecting from the fixing piece part 12 tends to increase in height. In a vibrator 22 of Figure 8, since a main arm 101B composed of a base part 16 and a pair of bending-vibration pieces 4A and 4B, and the fixing piece part 12 are the same in shape as those shown in Figure 6, description of them is omitted. A resonant piece 31 is provided on the fixing piece part 12. The resonant piece 31 is provided with a rectangular supporting part 30 extending from the fixing piece part 12 perpendicularly to it, and the supporting part 30 is provided with exciting means 5A and 5B. An expanded part 23 in the shape of a broad rectangle is formed at the top end side of the supporting part 30. By applying a driving voltage to the exciting means 5A and 5B, the resonant piece 31 is vibrated around the joint 27 of it and the fixing piece part 12 as shown by arrow M. In resonance with this vibration, the base part 16 and the pair of bending-vibration pieces 4A and 4B are vibrated around the joint 26 of them and the fixing piece part 12 as shown by arrow D. In this way, by providing the expanded part 23 in the resonant piece 31, it is possible to make lower in height the resonant piece 31 projecting from the fixing piece part 12 and furthermore make a vibration frequency of the resonant piece 31 closer to a vibration frequency of the base part 16 and bending-vibration pieces 4A and 4B side. In vibrators used in the present invention, the longitudinal direction of a bending-vibration piece and the longitudinal direction of a base part do not have to be necessarily perpendicular to each other. And a bending-vibration piece may be straight or curved in shape. In case that a pair of bending-vibration pieces are provided, however, it is preferable that both of them have mirror-symmetry to each other in relation to the base part. In a main arm 101C of a vibrator 40 of Figure 9, bending-vibration pieces 33A and 33B intersect the extending direction of a base part 3 at a specified angle . Although the intersecting angle is not a right angle, the intersecting angle is preferably 45° to 135°, and it is particularly preferably 70° to 100°. Due to this, the natural resonance frequencies of vibration modes of vibrations N and P of the bending-vibration pieces 33A and 33B vary slightly in comparison with the natural resonance frequency of the vibration mode of the bending-vibration piece of the vibrator shown in Figure 3. In a main arm 101D of a vibrator 41 of Figure 10, bending-vibration pieces 34A and 34B are in the shape of a slightly curved arc. Due to this, the natural resonance frequencies of vibration modes of vibrations Q and R of the bending-vibration pieces 34A and 34B vary slightly in comparison with the vibrator shown in Figure 9. The shapes as shown in Figures 9 and 10 can be adopted also in the vibrators shown in Figures 6, 7, and 8. Generally in a piezoelectric vibratory gyroscope, in order to keep a good measurement sensitivity, it is required to keep a constant vibration frequency difference between the natural resonance frequency of a drive vibration mode and the natural resonance frequency in a detection vibration mode. In vibrators of the present invention, when the natural resonance frequency of a vibration mode of a base part and the natural resonance frequency of a vibration mode of a bending-vibration piece become close to each other, the sensitivity becomes good but the response speed is deteriorated. When a frequency difference between the natural resonance frequency of a vibration mode of a base part and the natural resonance frequency of a vibration mode of a bending-vibration piece becomes large, the response speed becomes good but the sensitivity is deteriorated. Due to this, by removing a weight at the top end of the bending-vibration piece, it is possible to vary the natural resonance frequency of a vibration mode of the bending-vibration piece. And by providing a projection projecting from the bending-vibration piece at the opposite side to the fixed end part of the base part and removing a weight of this projection, it is possible to vary the natural resonance frequency of a vibration mode of the base part. For example, in a main arm 101E of a vibrator 42 of Figure 11, a projection 35 projecting from bending-vibration pieces 4A and 4B is provided at the other end part 3b side of the base part 3. And the natural resonance frequency of a vibration mode of vibration D of the base part is varied by performing a process of removing a weight from a part 37 of the projection 35. And the natural resonance frequencies of vibration modes of vibrations A and B of the bending-vibration pieces 4A and 4B can be varied independently of each other by performing a process of removing weights from the top ends 36A and 36B of the bending-vibration pieces 4A and 4B. This removing process can be performed by a laser irradiation process or a machining process. Next, an embodiment in which a vibrator is provided with at least a pair of resonant pieces which resonate with vibration of the base part and project from the fixing part is described. As shown in Figures 3 to 11, a vibratory gyroscope utilizing a bending vibration of a main arm or a resonant piece can attain such a high sensitivity that it cannot be obtained up to now in case of adopting a vibrator extending perpendicularly to a turning system. As a result of a further study of the inventors, however, it has been found that the following problem has been left. That is to say, since a main arm composed of a bending-vibration piece and a base part is formed so as to project from a fixing part, for example, in case of using a bending vibration of the bending-vibration piece as a drive vibration and detecting a bending vibration around the fixing part of the base part, it has been found that the vibration of the base part is apt to damp comparatively soon and there is room for improvement in the Q value of the detection vibration. As a result of study for solving this problem, the inventors have thought of projecting at least one pair of resonant arms together with a base part from a fixing part and resonating the resonant arms with vibration of the base part. In this case, although it is possible to use vibration of the resonant arms and the base part as a drive vibration, it is more preferable to use vibration of the resonant arms and the base part as a detection vibration. Because since a detection vibration bearing a gyroscopic signal is much smaller in amplitude than a drive vibration, a greater effect of improvement of the Q value can be obtained. Figures 12 to 14 show vibratory gyroscopes of such embodiments. In a vibrator 44 of a vibratory gyroscope 43 of Figure 12, a main arm 101F projects from a fixing part 1, and a pair of resonant arms 48A and 48B project at both sides of the main arm 101F. A base part 3 projects from the fixing part 1, bending-vibration pieces 45A and 45B extending perpendicularly to the base part 3 are formed at an end part 3b side of the base part 3, and weights 47A and 47B are formed at the top ends of the bending-vibration pieces 45A and 45B. The bending-vibration pieces 45A and 45B are provided, respectively, with exciting means (detecting means) 46A, 46B, 46C and 46D. The resonant arms 48A and 48B projecting from the fixing part 1 are provided, respectively, with detecting means (exciting means) 49A, 49B, 49C and 49D, and weights 50A and 50B are formed, respectively, at the top ends of the resonant arms. A preferable vibration mode in this case is described with reference to Figures 13(a) to 13(c). As described above, the bending-vibration pieces 45A and 45B are excited to bending-vibrate as shown by arrow S in Figure 13(a). A Coriolis force acts as shown by arrow T when the whole vibrator is turned as described above. There are plural vibrations excited in the base part and a pair of resonant arms by this Coriolis force. Figure 13(b) shows the secondary vibrations. In this case, the base part 3 and the resonant arms 48A,48B are bending-vibrated reversely in phase to each other, and simultaneously with this, the bending-vibration pieces 45A and 45B are vibrated so as to deviate from a straight line 58. Figure 13(c) shows the primary vibrations. In this case, the base part 3 and the resonant arms 48A,48B also are bending-vibrated reversely in phase to each other, and simultaneously with this, the bending-vibration pieces 45A and 45B also are vibrated so as to deviate from a straight line 58. The vibrations of the bending-vibration pieces 45A and 45B are reverse in phase to each other, respectively, in case of the primary vibrations and the secondary vibrations. Hereupon, although any of the primary vibration and the secondary vibration may be used as a detection vibration, it is necessary to select it so that a frequency difference between the natural resonance frequency of a drive vibration and the natural resonance frequency of a detection vibration can be within a certain range. In a vibrator 60A of a vibratory gyroscope 59A of Figure 14, a main arm 101G projects from a fixing part 1, a base part 3 projects from the fixing part 1, and bending-vibration pieces 61A and 61B extending perpendicularly to the base part 3 are formed at an end part 3b side of the base part 3. Since there are not parts corresponding to the weights 47A and 47B, it is necessary to lengthen the bending-vibration pieces so much. The bending-vibration pieces 61A and 61B are provided, respectively, with exciting means (detecting means) 46A, 46B, 46C and 46D. A pair of resonant arms 62A and 62B project from the fixing part 1, and a resonant arms 62A and 62B are provided, respectively, with detecting means (exciting means) 49A, 49B, 49C and 49D. In this invention, in case of using resonant arms, it is possible to vary the natural resonance frequency of vibration of a so-called spurious mode by making different in projection height the resonant arms projecting from both positions of the fixing part. This embodiment is described with reference to a vibratory gyroscope 59B shown in Figures 15 and 16. In a vibrator 60B, a main arm 101H projects from a projection 1a of a fixing part 1. That is to say, a base part 3 projects, and bending-vibration pieces 61A and 61B extending perpendicularly to the base part 3 are formed at an end part 3b side of the base part 3. The bending-vibration pieces 61A and 61B are provided, respectively, with driving electrodes 46A, 46B, 46C and 46D. And a pair of resonant arms 63A and 63B project from the fixing part 1, and the resonant arms 63A and 63B are provided, respectively, with detecting electrodes 49A, 49B, 49C and 49D. In a perspective view of Figure 16, the driving electrodes and the detection electrodes are shown in cross-sectional views. A cut-off part 74 of dimension a is provided outside each of the resonant arms, and by this a projection 1a of a in height is projected from the fixing part 1. As a result, it is possible to deviate the natural resonance frequency of vibration of a spurious mode from the natural resonance frequency of a drive vibration. For example, in a vibrator shown in Figure 15, in case of using a bending vibration of the bending-vibration pieces 61A and 61B as a drive vibration, and adjusting its natural resonance frequency to 8750 Hz, bending vibrations of the resonant arms 63A and 63B reverse in phase to each other as shown by arrow U in Figure 15 are in a spurious mode. Natural resonance frequencies of these vibrations are 8700 Hz as shown in Figure 17, in case of a = 0 as shown in Figure 14. As a result, since a frequency difference between the natural resonance frequency of the drive vibration and the natural resonance frequency of the spurious mode is 50 Hz, a signal generated by the vibrations reverse in phase of the resonant arms is made much larger than a gyroscopic signal. As shown in Figure 17, however, the natural resonance frequency of a spurious mode is greatly varied with the increase of height a. Particularly by making the a 1.0 mm or more, it is possible to greatly deviate the natural resonance frequency of a spurious mode from the natural resonance frequency of a drive vibration. In this way, to make different in height the resonant arms projecting from both positions of the fixing part is effective to reduce noises caused by vibration in a spurious mode, and for the purpose of this, the a is particularly preferably 1.0 mm or more. This is preferably 6.0 mm or less. In the vibratory gyroscopes of the embodiments described above, in case of forming a vibrator out of a piezoelectric single crystal, bending-vibration pieces, a base part or resonant arms are bending-vibrated by applying a voltage in the direction perpendicular to the page face. Such a bending-vibration method for vibrating the arms is particularly useful in case of using a single crystal, for example, of lithium niobate, lithium tantalate, or a solid solution of lithium niobate-lithium tantalate. As described above, however, the vibrators of the embodiments of Figures 3 to 16 can be naturally applied also to another piezoelectric single crystal such as quartz crystal or the like as adopting the same form of a drive vibration and a detection vibration. However, since this case is different in direction of an effective piezoelectric axis of the piezoelectric single crystal from the case of lithium niobate and the like, it is necessary to properly change the driving electrode and the detection electrode in shape in order to utilize the effective piezoelectric axis for bending vibration. Figures 18 to 20 all show vibratory gyroscopes of particularly preferred embodiments in case that a vibrator is formed by using a piezoelectric single crystal having the triad axis of symmetry (a-axis) in a specified plane like a quartz crystal and its c-axis is perpendicular to the specified plane. In such a form, it is preferable to set a voltage applying direction in a bending-vibration piece and a signal voltage direction in a resonant arm along the a-axis. Figures 18 and 19 relate to such embodiments. In a vibrator 60C of a vibratory gyroscope 59C of Figure 18, a main arm 101I and a base part 3 project from a fixing part 1, and bending-vibration pieces 64A and 64B extending perpendicularly to the base part 3 are formed at an end part 3b side of the base part 3. The bending-vibration pieces 64A and 64B are provided, respectively, with driving electrodes 65A and 65B. These drive electrodes are shaped as shown in a sectional view taken along A-A', and the drive electrode 65A is grounded and the drive electrode 65B is connected to an alternating-current power source 68. By this, a voltage is applied in the direction of the a-axis in the bending-vibration pieces 64A and 64B, and a bending vibration is generated. The longitudinal directions of a pair of resonant arms 66A and 66B are inclined at an angle of 120° to the bending-vibration pieces 64A and 64B. The detection electrodes 67A and 67B in the resonant arms 66A and 66B are the same in shape as the drive electrodes 65A and 65B. As the result, a voltage is applied in the direction of the a-axis also in the resonant arms 66A and 66B. Therefore, both of a piezoelectric constant utilized in a bending-vibration piece and a piezoelectric constant utilized in a resonant arm are made high and come to the same degree. In a vibrator 60D of a vibratory gyroscope 59D of Figure 19, a main arm 101J and a base part 3 project from a fixing part 1, and bending-vibration pieces 70A and 70B extending in the directions inclined at an angle of 120° to the base part 3 are formed at an end part 3b side of the base part 3. Weights 71A and 71B are provided, respectively, at the ends of the bending-vibration pieces 70A and 70B. The bending-vibration pieces 70A and 70B are provided, respectively, with drive electrodes 72A and 72B. These drive electrodes are shaped as shown in a sectional view taken along A-A', and the drive electrode 72B is grounded and the drive electrode 72A is connected to an alternating-current power source 68. By this, a voltage is applied in the direction of the a-axis in the bending-vibration pieces 70A and 70B, and a bending vibration is generated. The longitudinal direction of a pair of resonant arms 75A and 75B is inclined at an angle of 120° to the bending-vibration pieces 70A and 70B. The shape of the detection electrodes 76A, 76B, 76C and 76D is shown in a sectional view taken along B-B', and the detection electrodes 76D are grounded and a detection signal is taken out from the detection electrodes 76C. As the result, a signal voltage is generated in the direction of the a-axis also in the resonant arms 75A and 75B. As shown in the embodiment of Figure 20 for example, in case of extending a bending-vibration arm and resonant arms in the vertical direction, a detection signal can be taken out by inclining the longitudinal directions of the bending-vibration arm and the resonant arms at an angle of 10° to 20°, preferably 15° to the a-axis. That is to say, in a vibrator 60H of a vibratory gyroscope 59H, a main arm 101N and a base part 3 project from a fixing part 1, and bending-vibration pieces 99A and 99B extending perpendicularly to the base part 3 are formed at an end part 3b side of the base part 3, and weights 47A and 47B are provided, respectively, at the top ends of the bending-vibration pieces. The bending-vibration pieces are provided, respectively, with drive electrodes 65A and 65B. And a pair of resonant arms 100A and 100B project from the fixing part 1 in parallel with the base part 3, and the resonant arms 100A and 100B are provided, respectively, with detection electrodes 67A and 67B. Hereupon, both of a voltage applying direction in the bending-vibration pieces and a signal voltage direction in the resonant arms form an angle of 15° with the a-axis, and therefore, the same piezoelectric constant is utilized in both arms. In this invention, each of the bending-vibration pieces or the resonant arms can be provided with a through hole extending in its longitudinal direction. Thanks to this, the sensor sensitivity can be improved by lowering the natural resonance frequency of the bending-vibration pieces or the resonant arms and increasing the amplitude of the resonant arms. Figures 21 and 22 show vibratory gyroscopes of such embodiments of the invention. In a vibrator 60E of a vibratory gyroscope 59E of Figure 21, a main arm 101K projects from a fixing part 1 and a base part 3 projects from a fixing part 1, and bending-vibration pieces 78A and 78B extending perpendicularly to the base part 3 are formed at an end part 3b side of the base part 3. Weights 47A and 47B are provided, respectively, at the top ends of the bending-vibration pieces. Through holes 79A and 79B extending in the longitudinal direction of the bending-vibration pieces are formed, respectively, in the bending-vibration pieces. And long and narrow drive electrodes 80A, 80B, 80C and 80D are provided, respectively, at both sides of the through holes of the bending-vibration pieces. In this embodiment, a 130° Y plate of lithium tantalate is used and the c-axis forms an angle of 50° with the main face of the vibrator. The vibrator has the best temperature characteristics at this angle. In the bending-vibration pieces, as shown in a sectional view taken along A-A', since a voltage applying direction to the drive electrodes 80A and 80C, and a voltage applying direction to the drive electrodes 80B and 80D are reverse to each other, the bending-vibration pieces are bent. A pair of resonant arms 81A and 81B project from a fixing part 1 and the resonant arms 81A and 81B are provided, respectively, with detection electrodes 83A, 83B, 83C and 83D. Through holes 82A and 82B extending in the longitudinal direction of the resonant arms are formed, respectively, in the resonant arms. And long and narrow detection electrodes 83A, 83B, 83C and 83D are provided, respectively, at both sides of the through holes in the resonant arms. In the resonant arms, as shown in a sectional view taken along B-B', a voltage generated in the detection electrodes 83A and 83C, and a voltage generated in the detection electrodes 83B and 83D are reverse to each other. In a vibrator 60F of a vibratory gyroscope 59F of Figure 22, a main arm 101L and a base part 3 project from a fixing part 1, and a pair of bending-vibration pieces 85A and 85B are formed at an end part 3b side of the base part 3, and weights 71A and 71B are provided, respectively, at the top ends of the bending-vibration pieces. Each of the bending-vibration pieces extends in the direction forming an angle of 120° to the base part. Through holes 86A and 86B extending in the longitudinal direction of the bending-vibration pieces are formed, respectively, in the bending-vibration pieces. And drive electrodes 89A and 89D are provided on the outside walls of each of the through holes, and drive electrodes 89B and 89C are provided on the inside walls of each of them. In this embodiment, a piezoelectric single crystal plate having the a-axis of the triad axis of symmetry in a specified plane like quartz crystal is used. In each of the bending-vibration pieces, as shown in a sectional view taken along A-A', the drive electrodes 89A and 89D on the outside walls are connected to an alternating-current power source 68, and the drive electrodes 89B and 89C on the inside walls are grounded. Since a combination of the drive electrodes 89A and 89B and a combination of the drive electrodes 89C and 89D have voltage applying directions reverse in phase to each other, the bending-vibration pieces are bent. A pair of resonant arms 87A and 87B project from a projection 1a of a fixing part 1 and through holes 88A and 88B extending in the longitudinal direction of the resonant arms are formed, respectively, in the resonant arms. And as shown in a sectional view taken along B-B', detection electrodes 90A and 90D are provided on the outside walls of each of the through holes, and detection electrodes 90B and 90C are provided on the inside walls of each of them. In the resonant arms, a voltage generated in the detection electrodes 90A and 90C, and a voltage generated in the detection electrodes 90B and 90D are reverse in phase to each other. As shown in this embodiment, a bending-vibration piece or a resonant arm can be bent by providing a pair of drive electrodes on the inside and the outside wall of each of two sides of a through hole formed in the bending-vibration piece or the resonant arm. The detection side also goes in the same way. In this invention, the above-mentioned main arm and at least a pair of resonant arms can be provided at one side of the fixing piece part and a resonant piece to resonate with the main arm can be provided at the other side of the fixing piece part. In this case, drive electrodes are provided on a bending-vibration piece of the resonant piece and detection electrodes are provided on the resonant arms. By this, it is possible to use a bending vibration of the bending-vibration piece of the resonant piece as a drive vibration and use a bending vibration of the resonant arm as a detection vibration. Otherwise, drive electrodes are provided on the resonant arms and detection electrodes are provided on the bending-vibration piece of the resonant piece. By this, it is possible to use a bending vibration of the resonant arm as a drive vibration and use a bending vibration of the bending-vibration piece of the resonant piece as a detection vibration. In such a manner, furthermore, a second resonant arm can be provided at the other side of the fixing piece part. Figure 23 is a perspective view roughly showing a vibratory gyroscope 59G of this embodiment. In this vibrator 60G, a fixing piece part 12 is provided inside a fixing member 90. At one side of the fixing piece part 12, a main arm 101L and a pair of resonant arms 92A and 92B project from a projection 94A. In the main arm 101L, bending-vibration pieces 91A and 91B extending perpendicularly to the base part 3 are formed at an end side of the base part 3. Drive electrodes 46A, 46B, 46C and 46D are provided on the bending-vibration pieces. Weights 93A and 93B are, respectively, provided at the top ends of the resonant arms. In the bending-vibration pieces 91A and 91B, as shown in a sectional view taken along A-A', a voltage applying direction to the drive electrodes 46A and 46C side and a voltage applying direction to the driving electrodes 46B and 46D side are reverse in phase to each other. At the other side of the fixing piece part 12, a resonant arm 103 and a pair of second resonant arms 97A and 97B project from a projection 94B. In the resonant piece 103, bending-vibration pieces 95A and 95B extending perpendicularly to a base part 98 are formed at an end side of the base part 98. Weights 96A and 96B are, respectively, provided at the top ends of the resonant arms 97A and 97B. As shown in a sectional view taken along B-B', detection electrodes 49A, 49B, 49C and 49D are provided on the resonant arms. A signal voltage generated in the detection electrodes 49A and 49C side and a signal voltage generated in the detection electrodes 49B and 49D side are reverse in phase to each other. Figures 24 and 25 illustrate the shapes of further vibrators of vibratory gyroscopes of the invention. Figure 24 is a front view showing another vibrator 101E, and since this is almost the same as the vibrator shown in Figure 11 in this specification, description of the duplicated parts is omitted and the above-mentioned description is quoted. A vibrator as described above can be applied to a vibrator called a H-shaped vibrator. For example, a vibrator provided with a fixing piece part both ends of which are fixed, a base part provided at one side of the fixing piece part, at least one bending-vibration piece extending from the base part in a direction crossing the longitudinal direction of the base part, and a resonant piece provided at the other side of the fixing piece part, wherein the fixing piece part, the base part, the bending-vibration piece, and the resonant piece are formed so as to extend substantially in a specified plane can be manufactured. Figure 25 is a front view showing a vibrator 10 of this embodiment. Since this is almost the same as the vibrator shown in Figure 6 in this specification, description of the duplicated parts is omitted. In the examples shown in Figures 24 and 25, since a vibratory gyroscope can be formed in a state where a vibrator is horizontally disposed, it is possible to shorten the gyroscope in height. And since a specified single crystal is used as a vibrator so that the vibrator can be made by means of etching, grinding or the like, the vibrator can be simply manufactured and the gyroscope can be produced at a low cost. A vibrator 257 of Figure 26 comprises a fixing part 260, in its central portion, having a tetragonal-shaped central part 260a and four extended parts 260b protruding from the central part. A pair of main arms 258P and 258Q extend from the fixing part 260. In each of the main arms, each main part 3 extends from each extended part 260b, and each bending-vibration piece 259 extends perpendicular to the main part 3 from the other end part 3b. Both ends of each bending-vibration piece 259 are connected with the main parts 3. Consequently, each space 262 is formed and enclosed with the fixing part 260, a pair of the main parts 3 and the bending-vibration piece 261. A pair of bending-vibration pieces 261 are provided with and extended from the central part 260a of the fixing part 260. Each bending-vibration piece 259 of each main arm is bent and vibrated as shown by an arrow "U" by applying alternating voltage to the predetermined vibrating means not shown in Figure 26. When the vibrator 257 is turned around the z-axis, each main part 3 is bent and vibrated around the joint near one end 3a. This bending vibration of the main parts causes bending vibration as shown by arrows "V" to the bending-vibration pieces 261, from which detection signals may be obtained and thus a turning angular range may be calculated.

Claims: A vibratory gyroscope for detecting an angular rotation rate about an axis of rotation, comprising a vibrator having: (i) a fixing part (1) which in operation is turned around said axis of rotation by a rotation to be detected, (ii) a base part (3) capable of bending vibration in a plane perpendicular to said axis of rotation, having opposite ends and extending between said ends in a longitudinal direction which lies in said plane, a first said end thereof being attached to said fixing part (1), (iii) at least one vibration member (4A,4B,45A,45B, 61A,61B,64A,64B, etc.) capable of bending vibration in said plane, having opposite ends and extending between said ends thereof in said plane, one of said ends thereof being attached to said base part at a portion thereof spaced from said first end of the base part, and the second said end of the vibration member being remote from the first end thereof and being a free end, said vibration member having at least a first portion adjoining its first end which extends transversely in said plane relative to said longitudinal direction of said base part, said gyroscope further having: (iv) excitation means (5A,5B,6A-D,46A-D,49A-D, etc.) for exciting vibration of one of said base part and said vibration member in said plane, and (v) detecting means (5A,5B,6A-D.46A-D,49A-D, etc.) arranged for detecting bending vibration in said plane of said vibrator generated by Coriolis force within the vibrator upon rotation of the vibrator around said axis when the vibrator is vibrated by said excitation means, (vi) wherein one of said excitation means and detecting means is on said first portion of said vibration member. A vibratory gyroscope according to claim 1, wherein said first end of said vibration member is attached to said base part at the end of the base part opposite to the first end thereof. A vibratory gyroscope according to claim 1 or 2, wherein said vibrator has a pair of said vibration members extending in opposite directions from said base part. A vibratory gyroscope according to claim 3, wherein said pair of vibration members are symmetrical with respect to the longitudinal direction of the base part. A vibratory gyroscope according to claim 3 or 4, wherein said pair of vibration members each have an element of either said excitation means or said detecting means. A vibratory gyroscope according to any one of claims 1 to 5, wherein the longitudinal direction of at least said first portion of the or each said vibration member is at an angle in the range 45° to 135° to the longitudinal direction of the base part. A vibratory gyroscope according to claim 6, wherein said angle is 90°. A vibratory gyroscope according to any one of claims 1 to 8, wherein said base part (3) has an extension (35) beyond the region of attachment of said vibration member or members. A vibratory gyroscope according to any one of claims 1 to 7, wherein said vibrator has a pair of resonant members (48A,48B,62A,62B, etc.) each extending in said plane and attached to said fixing part (1), the resonant arms being vibrationally coupled with said base part (3) through said fixing part for vibration in said plane. A vibratory gyroscope according to claim 9, wherein said resonant members are parallel to said base part. A vibratory gyroscope according to claim 10, wherein said base part (1) is attached to a projection (1a) of the fixing part which extends between the resonant arms (63A,63B) and projects a predetermined distance above the portions of the fixing part on the further sides of the resonant arms. A vibratory gyroscope according to claim 11, wherein said predetermined distance is in the range 1.0 to 6.0mm. A vibratory gyroscope according to any one of claims 9 to 12, wherein each said resonant member has a through hole (82A,82B) passing through it in a direction perpendicular to said plane. A vibratory gyroscope according to any one of claims 1 to 7, wherein said vibrator has a resonant member (32; 21; 30,31) attached to the fixing part (1) on the opposite side thereof from said base part (3) and extending away from the fixing part in the opposite direction from that of the base part (3), the resonant member being vibrationally coupled with the base part through the fixing part for vibration in said plane. A vibratory gyroscope according to any one of claims 1 to 14, wherein the or each said vibration member has a through hole (79A,79B) extending through it in a direction perpendicular to said plane. A vibratory gyroscope according to any one of claims 1 to 8, wherein the excitation means has driving electrodes (5A,5B) on the base part (3). A vibratory gyroscope according to claim 16, wherein the detecting means has detecting electrodes (6A-D, etc.) on the vibration member or members. A vibratory gyroscope according to any one of claims 1 to 7, wherein the excitation means has driving electrodes (6A-D, etc.) on the vibration member or members. A vibratory gyroscope according to claim 18, wherein the detecting means has detecting electrodes on the base part (3). A vibratory gyroscope according to any one of claims 9 to 13, wherein the excitation means has driving electrodes (49A-D) on the resonant members. A vibratory gyroscope according to claim 20, wherein the detecting means has detecting electrodes (46A-D, etc.) on the vibration member or members. A vibratory gyroscope according to any one of claims 9 to 13, wherein the excitation means has driving electrodes (46A-D, etc.) on the vibration member or members. A vibratory gyroscope according to claim 22, wherein the detecting means has detecting electrodes (49A-D, etc.) on the resonant members. A vibratory gyroscope according to claim 14, wherein the excitation means has driving electrodes (5A,5B) on the resonant member (32; 21; 30,31). A vibratory gyroscope according to claim 24, wherein the detecting means has detecting electrodes (46A-D, etc.) on the vibration member or members. A vibratory gyroscope according to claim 14, wherein the excitation means has driving electrodes (46A-D, etc.) on the vibration member or members. A vibratory gyroscope according to claim 26, wherein the detecting means has detecting electrodes (5A,5B) on the resonant member (32; 21; 31,32). A vibratory gyroscope according to any one of claims 1 to 27, wherein the base part and the vibration member or members are formed from a piezoelectric single crystal of a material selected from quartz, LiTaO 3 , LiNbO 3 and Li(Nb,Ta)O 3 . A vibratory gyroscope for detecting an angular rotation rate about an axis of rotation, comprising a vibrator having: (i) a fixing part (260a) which in operation is turned around said axis of rotation by a rotation to be detected, (ii) a pair of arms (3) extending from said fixing part parallel to each other and in a plane perpendicular to said axis of rotation, a first end of each said arm (3) being attached to said fixing part (1), (iii) a vibration member (25a) capable of bending vibration in said plane, having opposite ends attached respectively to said arms (3) at respective portions thereof spaced from said first ends thereof, (iv) a pair of resonant members (261) attached to said fixing part (260a) and extending in said plane and vibrationally coupled with said arms (3) through said fixing part, said gyroscope further having: (v) excitation means for exciting vibration of said vibration member (259) in said plane, and (vi) detecting means arranged for detecting bending vibration in said plane of said resonant members (261) generated by Coriolis force within the vibrator upon rotation of the vibrator around said axis when the vibration member (25a) is vibrated by said excitation means.

Inventors: GOUJI SHOSAKU, KIKUCHI TAKAYUKI, OSUGI YUKIHISA, SOMA TAKAO, GOUJI, SHOSAKU, KIKUCHI, TAKAYUKI, OSUGI, YUKIHISA, SOMA, TAKAO, Gouji, Shosaku, 605, Sherukoto-Miwa
Applicants: NGK INSULATORS LTD, NGK INSULATORS, LTD.
Application year: 1997
Main classification: G01C19
IPC codes: G01C19