Patent Application: US-201715463732-A

Abstract:
a haptic device comprising a substrate having a surface , a first actuator that modulates a friction experienced by a user &# 39 ; s finger touching the substrate surface , a second actuator that oscillates the substrate surface laterally , such that the combined effect of the first and second actuator is a net shear force applied to the user &# 39 ; s finger , a finger position sensor that detects and measures location of the user &# 39 ; s finger relative to the substrate surface , and a control device that receives at least one parameter related to the location of the user &# 39 ; s finger and controls the first actuator and second actuator to simulate the feel of a shape different from that of the substrate .

Description:
the present invention provides a haptic device referred to hereafter as a surface haptic device ( shd ) capable of providing a force on a finger or object in contact with a haptic substrate surface by subjecting the substrate to lateral motion or lateral oscillation and modulation of a friction reducing oscillation . an embodiment of the present invention provides a haptic device comprising a substrate such as a flat glass or other plate , one or more actuators for subjecting the substrate to lateral motion or lateral oscillation , and one or more other actuators for subjecting the substrate to friction reducing ultrasonic oscillation . the actuators are controlled in an embodiment by a computer control device to subject the substrate to lateral motion or lateral oscillation in synchrony with modulation of the friction reducing oscillation in a manner to create a shear force on the user &# 39 ; s finger or an object in contact with the substrate surface . the present invention envisions subjecting the substrate to lateral motion or oscillation on a single axis ( e . g . x axis ) or on multiple ( e . g . x and y axes ) axes as described below . in an illustrative embodiment , the present invention can be practiced using a variable friction haptic device tpad (“ tactile pattern display ”) of the illustrative type shown in fig1 a , 1 b and 2 having a substrate 100 with a working haptic surface and one or more actuators ( vibrators ) operably associated with the substrate in a manner to impart vibration ( oscillation ) thereto in a manner to provide a variable friction capability as described in copending u . s . application ser . no . 11 / 726 , 391 filed mar . 21 , 2007 , and copending u . s . application ser . no . 12 / 383 , 120 filed mar . 19 , 2009 , of common assignee , the disclosures of which is incorporated herein by reference . the variable friction haptic device vfhd of the copending application is referred to below as the variable friction haptic device tpad . referring to fig1 a , 1 b and 2 , a variable friction haptic device tpad according to an illustrative embodiment of the invention is shown having a substrate 100 comprising a piezoelectric bending element i 02 in the form of piezoelectric sheet or layer member attached to a passive substrate sheet or layer member i 04 with a touch ( haptic ) surface 104 a to provide a relatively thin laminate structure and thus a slim haptic device design that can provide advantages of slimness , high surface friction , inaudibility and controllable friction . a relatively thin haptic device can be made of a piezo - ceramic sheet or layer glued or otherwise attached to a passive support sheet or layer 104 . when voltage is applied across the piezoelectric sheet or layer 102 , it attempts to expand or contract , but due to its bond with the passive support sheet or layer 104 , cannot . the laminate will have a curved shape with a single peak or valley in the center of the disk when the piezoelectric sheet or layer 102 is energized . the resulting stresses cause bending . the greater the voltage applied to the piezoelectric sheet or layer , the larger the deflection . when the piezoelectric bending element is excited by a positive excitation voltage , it bends with upward / positive curvature . when the piezoelectric bending element is excited by a negative excitation voltage , it bends with a downward / negative curvature . when sinewave ( sinusoidal ) excitation voltage is applied , the piezoelectric bending element will alternately bend between these curvatures . when the sinewave excitation voltage is matched in frequency to the resonant frequency of the substrate 100 , the amplitude of oscillation is maximized . a mount 150 may be used to confine the bending to only one desired mode or to any number of desired modes . it is preferred that all mechanical parts of the haptic device vibrate outside of the audible range . to this end , the substrate 100 preferably is designed to oscillate at resonance above 20 khz . for purposes of illustration and not limitation , a thickness of the piezoelectric member 102 can be about 0 . 01 inch to about 0 . 125 inch . an illustrative thickness of the substrate member 104 can be about 0 . 0 i to about 0 . 125 inch . the aggregate thickness of the haptic device thus can be controlled so as not exceed about 0 . 25 inch in an illustrative embodiment of the invention . as shown in fig1 a , 1b and 2 , the disk - shaped haptic device is disposed in a mount 150 in order to confine the vibrations of the bending element disk to the 01 mode where the 01 mode means that the laminate has a curvature with a single peak or valley in the center of the disk when the piezoelectric sheet or layer is excited . the mount 150 can be attached to the piezoelectric disk along a thin - ring or annular surface 150 a whose diameter can be ⅔ of the diameter of the piezoelectric disk . the same very low viscosity epoxy adhesive can be used for the bond to the mount 150 as used to bond the piezoelectric disk and the glass substrate disk . the inner height of the mount 150 is somewhat arbitrary and can also be made as thin as a few millimeters . the mount 150 is adapted to be mounted on or in an end - use product such as including , but not limited to , on or in a surface of an motor vehicle console , dashboard , steering wheel , door , computer , and other end - use applications / products . a transparent haptic device preferably is provided when the haptic device is disposed on a touchscreen , on a visual display , or on an interior or exterior surface of a motor vehicle where the presence of the haptic device is to be disguised to blend with a surrounding surface so as not be readily seen by the casual observer . to this end , either or both of the piezoelectric member 102 and the substrate member 104 may be made of transparent material . the piezoelectric element 102 includes respective transparent electrodes ( not shown ) on opposite sides thereof for energizing the piezoelectric member 102 . for purposes of illustration and not limitation , the substrate i 04 may be glass or other transparent material . for the electrode material , thin films of the in203 - sn02 indium tin oxide system may be used as described in kumade et al ., u . s . pat . no . 4 , 352 , 961 to provide transparent electrodes . it is not necessary to employ transparent piezoelectric material in order to achieve a transparent haptic device . it will be appreciated that passive substrate sheet i 04 may be made of a transparent material such as glass , and that it may be significantly larger in surface area than piezoelectric sheet i 02 . piezoelectric sheet i 02 may occupy only a small area at the periphery of passive substrate sheet i 04 , enabling the rest of passive substrate sheet i 04 to be placed over a graphical display without obscuring the display . the piezoelectric material can include , but is not limited to , pzt ( pb ( zr , ti ) 03 )- based ceramics such as lanthanum - doped zirconim titanate ( plzt ), ( pbba )( zr , ti ) 03 , ( pbsr )( zrti ) 03 and ( pbca )( zrti ) 03 , barium titanate , quartz , or an ‘ organic material such as polyvinylidene fluoride . those skilled in the art will appreciate that the invention is not limited to transparent piezoelectric and substrate members and can be practiced using translucent or opaque ones , which can be colored as desired for a given service application where a colored haptic device is desired for cosmetic , security , or safety reasons . non - transparent materials that can be used to fabricate the substrate member 104 include , but are not limited to , steel , aluminum , brass , acrylic , polycarbonate , and aluminum oxide , as well as other metals , plastics and ceramics . design of a circular disk - shaped haptic device tpad will include choosing an appropriate disk radius , piezo - ceramic disk thickness , and substrate disk material and thickness . the particular selection made will determine the resonant frequency of the device . a preferred embodiment of a disk - shaped haptic device employs a substrate disk having a thickness in the range of 0 . 5 mm to 2 mm and made of glass , rather than steel or other metal , to give an increase in resonant frequency ( insuring operation outside the audible range ) without significantly sacrificing relative amplitude . those skilled in the art will appreciate that the design of the piezoelectric bending element 102 and substrate 104 are not constrained to the circular disk shape described . other shapes , such as rectangular or other polygonal shapes can used for these components as will be described below and will exhibit a different relative amplitude and resonant frequency . with respect to the illustrative disk - shaped haptic device tpad of figs . i a , i b and 2 , the amount of friction felt by the user on the touch ( haptic ) surface 104 a of the haptic device is a function of the amplitude of the excitation voltage at the piezoelectric member 102 . the excitation voltage is controlled as described in the example below and also in copending application ser . no . 11 / 726 , 391 filed mar . 21 , 2007 , and copending application ser . no . 12 / 383 , 120 filed mar . 19 , 2009 , both of which are incorporated herein by reference . the excitation voltage is an amplitude - modulated periodic waveform preferably with a frequency of oscillation substantially equal to a resonant frequency of the haptic device . the control system can be used with pantograph / optical encoders or with the optical planar ( two dimensional ) positioning sensing system or with any other single - axis or with two - axis finger position sensors which are described in copending application ser . no . 11 / 726 , 391 incorporated herein by reference , or with any other kind of finger position sensor , many of which are known in the art . referring to fig3 , an illustrative planar surface haptic device shd pursuant to an illustrative embodiment of the invention is shown incorporating the disk - shaped haptic device tpad of fig1 a , 1b and 2 hereafter referred to as tpad . the disk - shaped haptic device tpad was constructed using a single circular disk of piezoelectric bending element ( mono - morph type ) and a single circular disk of glass plate substrate to generate the ultrasonic frequency and amplitude necessary to achieve the indirect haptic effect of friction reduction . the piezoelectric bending element disk comprised pic 151 piezo - ceramic material ( manufactured by pi ceramic , gmbh ) having a thickness of one ( 1 ) millimeter and diameter of 25 millimeters ( mm ). the glass plate substrate disk comprised a thickness of 1 . 57 mm and a diameter of 25 mm . the piezo - ceramic disk was bonded to the glass substrate disk using a very low viscosity epoxy adhesive such as loctite e ., 30cl hysol epoxy adhesive . the disk - shaped haptic device was disposed in a mount made of aluminum and attached to the piezoelectric disk along a thin - ring or annular surface 150 a whose diameter was ⅔ of the diameter of the piezoelectric disk . the same very low viscosity epoxy adhesive was used for the bond to the mount 150 as was used to bond the piezoelectric disk and the glass substrate disk . the haptic device shd further includes a linear actuator 200 , such as a voice coil , connected by coupling rod 211 to a linear slider 210 on which the haptic device tpad fixedly resides for movement therewith . the tpad can be held in fixed position on the slider 210 by any connection means such as a clamp , glue , screws , or rivets . the linear slider 210 is movably disposed on support 212 on a fixed base b for movement on a single x axis . a linear voice coil actuator 200 is sinusoidally activated at frequencies between 20 and 1000 hz , causing the slider 210 and haptic device tpad thereon to move oscillate laterally in the x - direction at the same frequency . when voice coil actuator 200 is sinusoidally activated at the resonant frequency of this system , the amplitude of lateral oscillations is increased although the invention is not limited to such sinusoidal activation . friction is modulated on the glass plate substrate surface 104 a of the haptic device tpad by applying a 39 khz sinusoid to the piezoelectric element 102 mounted on the underside of the glass plate substrate 104 . the 39 khz signal is generated by a a d9833 waveform generator chip and amplified to + 0 - 20v using an audio amplifier . when applied to the piezoelectric element 102 , it causes resonant vibrations of the glass plate substrate . these vibrations produce a squeeze film of air underneath the fingertip , leading to a reduction of friction . at high excitation voltages , the friction between the glass plate substrate and a finger is approximately μ = 0 . 15 , while at zero voltage , the surface has the friction of normal glass ( approximately μ = 0 . 95 ). a programmable integrated circuit ( pic - 18f4520 ) generates the low frequency signal for the voice coil ( x - actuator ) and issues the command to the wave form signal generator ( ad98330 ), fig4 , to start / stop the 39 khz signal of the piezoelectric element 102 . since it provides both functions , it can dictate the phase relationship between the friction level of the haptic device tpad and the lateral motion . a control system having a microcontroller with the pic or other controller and finger position sensor 250 is shown in fig4 . fig4 shows an x axis - actuator to oscillate the linear slider 210 on the x - axis and also a y axis - actuator for use with a two degree - of - freedom planar haptic device described below where the tpad is oscillated on the x - axis and y - axis concurrently . to measure finger posit ion , a single axis of the two - axis finger positioning system 250 can be used . this system is of a type similar to the two - axis finger position sensors which are described in copending application ser . no . 11 / 726 , 391 , however the infrared light emitting diodes of that system have been replaced with laser line generators 252 and fresnel lenses 254 which produce a collimated sheet of light striking linear photo diode array 256 , fig5 . the collimated sheet of light is placed immediately above the surface 104 a of the tpad and a finger touching the tpad surface 104 a interrupts that sheet of light , casting a shadow on linear photo diode array 256 . a pic microcontroller reads the output of the linear photo diode array 256 and computes the centroid of the finger &# 39 ; s shadow , which is used as a measure of finger position . in the one degree - of - freedom embodiment , forces are created by alternating between low and high friction states at the same frequency that the haptic device tpad is being oscillated laterally in - plane . to produce a net leftward force , the haptic device tpad s set to high friction while its velocity is leftward and set to low friction when its velocity is rightward . the haptic device tpad alternates between pushing the user &# 39 ; s finger to the left and slipping underneath the finger back to the right . this “ pushslip ” cycle repeats itself , and the series of strong leftward impulses followed by weak rightward impulses results in a net force to the left . these impulses can be seen in the unfiltered force signal in fig8 , the lateral or shear force between the surface 104 a of the shd and the fingertip being measured using a one degree - of - freedom tension / compression load cell operably connected to a proxy fingertip as shown in fig3 a . the load cell can move vertically on a linear slider . the weight of the load cell and the fingertip is suspended by a low - stiffness spring . vertical position of the fingertip is adjustable via a thumb nut . after the fingertip is lowered to within close proximity ( less than 0 . 5 mm ) of the tpad , the normal force is controlled by adding weight to the l - shaped finger as shown . a normal load of 392 mn ( 40 g ) was used for this example . this arrangement allows force on the proxy finger , including the effects of lateral oscillations , to be measured with great accuracy . the proxy fingertip used in this example comprised a grape wrapped in sandpapered electrical tape as the proxy finger pad . the proxy fingertip was secured to the l - shaped aluminum “ finger ” shown in fig3 a with electrical tape , and the aluminum finger was threaded onto the load cell . there is some compliance in the fingertip - to - finger connection , but since there is similar compliance in the human finger , this is appropriate . alternatively , the lateral or shear force between the surface 104 a of the shd and the fingertip also can be measured by mounting the base b on a support assembly that allows the entire assembly to move laterally with essentially no friction , fig3 b . for example , the base b can be mounted on a heavy brass mass or plate 230 , which rests on sound insulating foam plate 232 . the sound insulating foam plate 232 in tum rests on precision ground steel plate 234 , which rests on three large steel balls 236 . the steel balls in tum rest on a lowermost precision ground steel plate b 2 that serves as the base of the measuring system . the brass mass or plate 230 is connected to load cell 240 via a low - stiffness spring 238 so that the only component restricting lateral motion is the load cell and so that all lateral forces acting on the finger must be matched by forces on the load cell . the combination of the mass of the brass mass or plate 230 and the low stiffness of spring 238 acts like a mechanical low pass filter so that lateral oscillations have minimal effect on the measurement of the load cell . as a consequence , the output of the load cell is an accurate measure of the average force on the fingertip . fig6 a , 6b illustrate a similar “ pushslip ” cycle to generate the opposite net force to the right wherein strong rightward impulses are followed by weak leftward impulses resulting in a net force to the right on a user &# 39 ; s finger . by changing the phase angle between the lateral velocity and the haptic device tpad on / off signal , the direction and magnitude of the net force can be changed . for explanation , the term φon is defined as the phase angle of the lateral velocity when the haptic device tpad turns on ( low friction state on ). this concept is shown graphically in fig7 . in all of the data presented , the tpad is in the on state for half ( 180 °) of the full cycle of lateral oscillation . to determine which phasing creates the largest magnitude force , & lt ; don was rotated slowly from 0 to 360 ° over the course of about 2 seconds . to find the net force , the unfiltered force data was passed through a second - order , lowpass , butterworth , zero - phase filter ( f cutoff = 10 hz ). the filtered force signal is shown in fig8 . the circled maximum force points correspond to the two “ optimum φon ” values for this particular frequency and amplitude of lateral oscillation . these maxim um net forces in the 100 mn range are easily perceivable to the applicants . moreover , literature shows that this magnitude is generally perceivable to humans ; see references [ 5 ] [ 1 ] [ 8 ]. fig8 shows that the net force changes as φon is rotated over time . the φon value in any given velocity cycle was found by comparing the tpad status signal to the velocity signal in a manner similar to the comparison in fig7 . that data was then plotted against the filtered force data in fig8 . the result in fig9 provides more specific information about the values of φon that optimize force . although the exact relationship between force and φon is dependent on oscillation amplitude and frequency , this data is representative of a wide range of amplitudes that produce forces noticeable to a human . with no delays in the system , one would expect that turning the tpad on at 0 ° would produce the largest leftward force and φon = 180 ° would produce the greatest rightward force . the data shows that the optimum angles are instead φon = 340 °, and φon = 160 °, respectively . the need for this phase advance may be due to the time required to create and decay the squeeze film , although applicants do not intend or wish to be bound by any theory in this regard . also note that zero net force is expected at φon = 270 ° but occurs at φon = 250 °. one skilled in the art will recognize that force can be controlled not just by phasing , but also by modulating the amount of time that the tpad substrate is in the relatively high friction state . force may be reduced by reducing the amount of a cycle for which friction is high . it was found experimentally that as the amplitude of lateral displacement increases , the average net force increases proportionally at first and then saturates . figure i 0 shows this trend for various lateral oscillation frequencies . each data point represents the net force produced by a particular amplitude of oscillation at optimum & lt ; 1 & gt ; 011 • the asymptotic behavior in fig1 is due to the nature of coulomb friction . once amplitudes are high enough to keep the finger and tpad predominately in sliding contact , the finger will experience a force of μglass fn when the velocity is in one direction and — μ0n fn when velocity is in the other direction . here , μglass is the kinetic coefficient of friction of the glass ; μ011 is the kinetic coefficient of friction of the tpad when it is in its lowest friction state ; and fn is the normal force . to find the theoretical maximum net force that the shd can create , we assume that the finger experiences each of the two force levels for half of the total cycle . the time - averaged force is then just the simple average of the two force levels . therefore , the equation for the maximum net force , f ., is f max =[( μ glass − μ on ) f n ]/ 2 ( 1 ) eqn ( 1 ) the value of the asymptote line in fig1 is calculated using eqn 1 , where μglass = 0 . 70 was found by recording the maximum force while sweeping the proxy finger across the surface while the tpad and lateral oscillator are quiescent ; μ on = 0 . 06 was found similarly but with the tpad turned on ; and fn = 392 mn was from 40 g of weight . frequency selection : it is important to note that since the force is applied in impulses at frequencies between 20 and 1000 hz , the user is aware of not only the overall force in one direction , but also the undesirable underlying vibration of the tpad . it is well known in the field of psychophysics that the human fingertip is sensitive to vibrations in the range of 20 hz to about 500 hz , with a peak in sensitivity at about 250 hz . we have found the best performance of the shd to be either at high frequencies ( e . g ., 850 hz ) where the lateral vibrations are not very noticeable , or at about 40 hz where the vibrations are noticeable but not unpleasant . a design method for reducing the finger &# 39 ; s exposure to the lateral vibration is to keep the tpad continually turned on ( low friction state on ) until a force production is needed . in this strategy the squeeze film isolates the user from the underlying low frequency vibration making it almost unnoticeable until force is applied . another method is to tum off the lateral vibrations except when they are needed . when the amplitude of oscillation is large enough to bring the forces near f max • increasing amplitude further provides negligible increase to the force on a stationary finger . on the other hand , if the user is actively exploring the surface , their finger velocity could cause the relative velocity between the finger and plate to become small , reducing the net force . therefore , the higher the finger exploration velocities , the higher the oscillation amplitude required to maintain the target force . an idea for acceptable finger exploration velocities can be gained by plotting the same data in fig . i 0 against velocity instead of displacement . in fig1 , it can be seen that a tpad oscillating at 77 hz reaches about 85 % of maximum force production around 20 mm / s rms velocity . in fig1 , the force produced by 77 hz oscillation is seen to be very sensitive to changes in rms velocity below 20 mm / s , but insensitive above 20 mm / s . therefore , it is believed that the forces produced by a shd oscillating at 20 mm / s are susceptible to finger velocity changes , but a shd running at 60 mm / s will allow the finger to travel at speeds up to about 40 mm / s before a significant reduction in force occurs . since the shd is effectively a source of force , it is possible to create or display any arbitrary force field . one could chose to display a spring , damper , or other primitive , but for the sake of example we will describe the display of line sinks and sources . at any given moment in time , the device has a constant force field across its surface , so to create the perception of a spatially varying force field , it is necessary to change force as a function of finger position . in practice , as the finger moves across the surface , φon is adjusted to produce the force of desired direction and magnitude . in fig1 , a top - view is provided of what a line - source force field looks like , and the φon command used to generate such a field . note the similarities between the commanded φon in fig1 and the force versus φon relationship in fig9 . to create a line source , one wants zero force along the centerline , so φon = 250 ° at x = 0 . on the right and left edges of the vector field where maximum force is required , the φon command takes on the optimum φon angles of 340 ° and 160 °. force fields : fig1 shows the data from four different force fields . there are two line - sources and two line - sinks , each of which has a “ stiff and “ compliant ” version . the raw data has been provided in the force vs . position format , but to provide a more intuitive idea for the tactile experience , applicants have also integrated the data to form the “ potential function ”. the potential function is defined as v ( x ) ∫ f ( x ) dx where f ( x ) is the force on the finger as a function of position , x . the results from robles - de - la - torre and hayward references [ 6 ] [ 5 ] suggest that the shape of the potential function is similar to the perceived shape of a virtual bump or hole . when viewing the data from the perspective of the potential function , instead of seeing a stiff planer line - source , one sees a steep bump in the surface . similarly , the compliant planar line - sink can be thought of as a shallow hole in the surface . it is possible to build on the potential function concept to create more sophisticated haptic behaviors , such as the toggle switch illustrated in fig1 a , 14b , and 14c . the haptic toggle switch is two low potential regions ( sinks ) separated by a high potential region ( source ), fig1 a , 14b . when sliding the finger from one low potential region toward the next , the finger tends to “ pop ” into the low potential region , much like flipping a physical toggle switch , fig1 c . the illustrative planar ( flat panel ) haptic display shd described above is capable of applying and controlling the net shear force on a finger . as with any controllable force source , it allows one to display force fields of one &# 39 ; s choosing when coupled with finger position feedback . the capability of displaying line sources and sinks has been demonstrated and they can be viewed as planar entities , or 3d protrusions and depressions . it can be extrapolated that the shd is a tool capable of displaying planar springs , dampers , masses , and the illusions of surface features . the illustrative haptic device shd provides a planar haptic display capable of applying any arbitrary shear force to a finger . it would have the capability of displaying a two dimensional ( 2d ) world composed of springs , dampers , masses , and other forces , but also , by using the idea that lateral force can create the illusion of shape , the shd can produce the illusion of three dimensional ( 3d ) textures and shape on its 2d surface . a planar haptic device having two degrees of freedom of oscillation of the substrate can be constructed in view of the above description of the one degree - of - freedom illustrative haptic device shd of fig3 . for two degrees of freedom in - plane oscillation , the haptic device tpad shown in fig3 can be oscillated in - plane on multiple axes such on the x axis and the y axis . for example , two degrees of freedom of motion are provided by designing a compound slider on which the haptic device tpad resides to slide on orthogonal x and y axes , see x and y axes on fig3 . the compound slider would have the capability to move the haptic device tpad independently on the x axis and y axis . for example , the compound slider would have a first slider like slider 210 for x axis oscillation and a second slider mounted on or underneath the first slider for independent y axis oscillation . the first slider would be actuated to oscillate on the x axis by linear actuator 200 shown and the second slider would be actuated to oscillate on the y axis by a second linear actuator ( not shown ) in the form of a simular speaker having an actuator rod connected to the y - axis slider . a finger position sensor of the type shown in fig5 can be used to sense x and y finger positions for input to a control system that changes the phase angle φon between lateral velocities of the substrate and the tpad on / off signal as desired to generate shear forces . this embodiment for two degrees of freedom thus involves having separate actuators for oscillating the tpad on the x axis and y axis . electromagnetic actuators ( such as voice coils ), piezoelectric bending actuators , shape memory alloy actuators , artificial muscle actuators ( http :// www . artificialmuscle . com /) and others are possible choices for these actuators . in general , it will minimize the actuator effort required if the haptic device tpad and its mount 150 are resonant for both x and y vibrations at the frequency of oscillation . oscillation of the haptic device tpad on the x axis and y axis may be controlled to generate a swirling motion of the substrate in a manner to create a circular , in - plane motion ( in the plane of the substrate surface 104 a . as the substrate swirls , its velocity vector will at one instant line up with the desired forced direction . around that instant , the substrate is set to its high friction state and an impulse of force is applied to the user &# 39 ; s finger or an object . during the remainder of the “ swirl ” cycle , the substrate is set to the low friction state so that it negligibly affects the force on the finger or object . since the velocity vector passes through all 360 ° during the swirl , forces can be created in any in - plane direction . in this embodiment of the invention , the ultrasonic vibrations normal to the substrate are combined with a lower frequency , higher amplitude lateral vibration ( i . e . motions in the plane of the surface to generate the “ swirls ”) as described . as a consequence , each point on the glass plate surface of the haptic device tpad will execute a small , circular , counter clock wise ( looking from above ) motion in the x - y plane to generate the swirling pattern of motion . the swirling motion is completely analogous to the x - direction oscillations generated above by linear actuator 200 in the sense that the same considerations of frequency and amplitude apply . however , because the motion now occurs along two axes of glass plate substrate , the effect of friction modulation is not the same . in particular , the net force never goes to zero ( or changes in magnitude ), it simply changes direction . also , because the force is always in the same direction as the velocity of the device , and that velocity is constantly changing , the average force will not be as large as in the single axis embodiment . it can be shown , assuming friction dependence as above , that the average force has magnitude ( μ 0n n )/ ii and a direction of φ . the phase ( s ) of the swirling motion during which the ultrasonic vibration for friction reducing is switched on or off ( or modulated ) can be varied under computer control to create edges or other haptic effects . the modulation can be in response to measured finger position , or for some haptic effects a measurement of finger position is not necessary . another embodiment of the present invention for a two degree - of - freedom haptic device shd is shown in fig1 and involves mounting the haptic device tpad on a compliant support such as a motor mount 410 supported on flexible metal legs 400 so that the haptic device tpad is free to move around within some limits as needed . the flexible legs 400 are connected at the bottom to a fixed base . the tpad is fixedly mounted on a mounting plate 430 that is connected rigid by comer posts 422 to the motor mount 410 . an eccentric mass motor mm ( such as those used in pagers ) can be mounted on the motor mount 410 and includes eccentric mass 411 . the motor &# 39 ; s output shaft axis is normal to the tpad haptic surface . the eccentric mass motor mm via its output shaft spins the eccentric mass to produce a rotating reaction force at the frequency of rotation . this , in turn , will cause the motor mount 410 and the tpad substrate 104 thereon to vibrate in a swirling pattern . embodiments of the invention described allow computer ( software )- controlled haptic effects to be displayed on the glass plate substrate surface , including not only variable friction but also lateral forces that actively push the finger or object across the surface . stronger haptic effects are possible . an additional use is also possible , not as a haptic display but instead as a mechanism for driving small objects around a surface under computer control , as might be useful in parts feeding or similar applications in robotics or manufacturing . in the described embodiments , the haptic device tpad is ultrasonically vibrated for the friction reduction effect as one unit . as an alternative embodiment , more than one ultrasonic actuator can be used so that different areas of the glass plate surface have different ultrasonic amplitudes , perhaps each modulated to correspond to different phases of the swirly motion . another way to attain spatial variation of ultrasonic amplitude across the glass plate surface , is to make use of the nodal patterns of ultrasonic vibration ( see copending application ser . no . 12 / 383 , 120 filed mar . 19 , 2009 , or to combine this with more than one ultrasonic frequency , or with ultrasonic actuators driven with different phases . it should be appreciated that the present invention is not limited to planar substrate surfaces . for example , the traction forces could be generated at the surface of a cylindrical knob by creating ultrasonic vibrations in the radial direction , and “ lateral ” oscillations in the axial and / or circumferential directions . indeed , any surface will have a surface normal and two axes that lie in the surface , at least local 1 y . ultrasonic vibration along the normal and lower frequency vibration along one or two in - surface axes can be coordinated to generate traction forces . there is no reason that the lateral oscillations need to be persistent . in many applications , it is necessary to apply active traction forces for brief instants only . in such cases , the lateral oscillations can be turned off until they are needed to generate the traction force . indeed for some haptic effects only a single cycle or even only a half - cycle of a lateral oscillation may suffice . the amplitude or number of lateral oscillations may be selected to be sufficient to move the user &# 39 ; s finger a desired distance , or to apply a force to it for a desired duration , and then the lateral oscillations may be discontinued . although the invention as described with respect to certain illustrative embodiments thereof , those skilled in the art will appreciate that changes and modifications can be made thereto within the scope of the invention as set forth in the pending claims . 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