as disclosed in my prior belgian pat . no . 35112 , a vehicle suspension may be represented as shown in fig1 wherein : the device of my prior belgian patent allows the evaluation of the shock absorber when the car is at a stop and therefore , the elasticity of the pneumatics could be neglected . the system then reduces to the representation in fig2 wherein the same designations are used as in fig1 . generally , the motional forces manifested in the shock absorber , are proportional to the relative velocity of the cylinder fulcrum , relative to the pressure cylinder ( in hydraulic shock absorbers ). below is the representative equation of the mass movement . if p represents the weight of the suspended mass and &# 34 ; g &# 34 ; the acceleration of gravity , the following will apply : ## equ1 ## and the equation of movement would be written : ## equ2 ## where x represents the deflection with regard to the position of equilibrium ( see fig2 ); c represents the coefficient of viscosity of the shock absorber ; and b represents the coefficient of elasticity of the spring . if we pose : ## equ3 ## the equation of movement of mass m is written : ## equ4 ## this is a binary differential equation of second order with constant coefficients through which the characteristic equation is : the roots of these equations are : ## equ5 ## three trial cases could be approached according to the sign of the quantity ( h 2 - w 2 ). the three trial cases are as follows . the determination of the constants is done by expressing the initial conditions : ## equ6 ## one obtains : ## equ7 ## the general integral of the differential equation can therefore be written : ## equ8 ## because of the factor e - h . t , the movement is not periodical and the elongation and the velocity change sign periodically . the oscillatory movement and maximum elongations occur at moments that one determines by expressing that dx / dt is null ## equ9 ## the pseudoperiod , i . e ., the time interval between maximal successive elongations of the same sign is valued : ## equ10 ## the ratio of two maximal elongations of the same sign yields : ## equ11 ## for which the neperien logarithm , d = h . t is the logarithmical decrement of the oscillatory movement . see fig3 . if h = w , the characteristic equation accepts a double radical and the general integral takes the form : the initial conditions allow the determination of the constants a and b : ## equ12 ## the particular solution sought for is : this is the critical aperiodical movement ; there is no one oscillation and the elongation x is always positive . see fig4 . the above case ( b ) is of no interest , as the problem which is concerned relates to when h ≠ w . if h & gt ; w , the amortizement is very large and one can show that the particular solution sought takes the form : ## equ13 ## the elongation is always positive as in the preceding case and tends toward 0 when t ?∞. the mass tends toward its position of equillibrium without oscillation . this case , as the preceding one , is not of interest as it is not met in problems of vehicle suspension . it is apparent that the only interesting case concerning vehicle suspensions is the one where : with h =( c . g )/ 2p , the knowledge of h suggests the knowledge of c . in order to know h , one could trace the diagram of the oscillations of the suspended masses at the extremity of the axle deflecting the masses from the position of equilibrium and then freeing them . a stylus attached to the body of the car could trace the graph on a moving graph paper . one could then determine the neperian logarithm of the ratio of the two successive maxima elongations and obtaining therefore the logarithmic decrement and the value of the pseudoperiod t recorded on the graph and yielding to h : the value of h could be obtained in a much simpler manner which is part of the procedure of the object of the present invention . suffice to express the elongation &# 34 ; x &# 34 ; of the shock absorber by the following : ## equ14 ## and observe the envelope : ## equ15 ## of the ammortized movement . fig5 illustrates the apparatus disclosed in my prior belgian pat . no . 35112 for determining the envelope of the ammortized oscillatory movement of the vehicle . in this prior arrangement , the means for sensing and evaluating movement of the vehicles body comprises a pair of electronic circuits , a first circuit yielding a proportional voltage fluctuation of the relative displacement of the suspended mass in relation to the non - suspended mass , and a second yielding a decreasing exponential voltage caused by an rc circuit with variable resistance . the first circuit involves a variable resistor r o . ( fig5 ) which is coupled to the vehicle to have its resistance vary corresponding to oscillation of the vehicle . the rc circuit of fig5 will now be considered . if at the instant t = 0 the value of the charge of the capacitor is q o , one could determine the electrical current circulating in the resistor r by application of ohm &# 39 ; s law , as follows : ## equ16 ## this is a differential equation of the first order , with constant coefficients for which the general integral is : ## equ17 ## the charge decreases exponentially and the constant d is determined from the initial conditions . ## equ18 ## and the particular solution searched for is : ## equ19 ## the electrical current circulating in the resistor r is equivalent to : ## equ20 ## and the voltage developed across the resistor r is equal to : ## equ21 ## at the initial instant , t = 0 , ## equ22 ## the expression of the voltage became : ## equ23 ## the potentiometric circuit having a potentiometer 20 with a total resistance r o and a length l , shown in fig5 will now be considered . when the cursor 10 is at position resistance r between cursor 10 and ground potential b is : ## equ24 ## where r o is the total resistance value of the potentiometer . the difference of potential between cursor 10 and ground is : ## equ25 ## by having point x ( i . e ., the position of cursor 10 ) following movements of the vehicle body as expressed above , one obtains : ## equ26 ## at the instant t = 0 , we get : ## equ27 ## and , replacing cos (- f ) by s / w , ## equ28 ## at the moment of maximum elongation we get : ## equ29 ## the maximum elongation of the same sign of the initial deflection occurs at instant t equal to 2 / s . at that moment , the voltage ( v x - v b ) is valued : ## equ30 ## replacing cosf by s / w , ## equ31 ## as discussed above , the voltage in the rc circuit is : ## equ32 ## if we realize v o = v x , the difference of potential between the voltage from the cursor and the voltage supplied by the discharge of the capacitor c when t = 2 / s is valued : ## equ33 ## the nullification of this voltage is conditional to : ## equ34 ## suffice to vary the resistance ( or the capacitor ), in order to know h , until cancellation of the difference of potential ( v x - v ) without alteration sign . for practical application , the scale of r ( or c ) is graduated in value of h . a disadvantage of the circuit of fig5 is that it does not correct for the vehicle settling at a different rest position after being rocked than before being rocked . also , evaluating the results of the test requires skill on the part of the operator . still further , evaluation of the test results requires a standard against which the test results can be prepared . it is very difficult for various shock absorber and vehicle manufacturers to agree on a standard . for informational purposes , the circuit of fig5 is described below . referring again to fig5 a variable resistor 20 with a cursor 10 is supplied with power by a battery 11 . the cursor 10 is attached or coupled to the body of the car or other vehicle which at the state of rest of the car will be at about mid excursion of the cursor 10 on the resistor 20 . the components of the rc circuit are chosen in such a manner to yield an exponential envelope of the least ammortized oscillation that can be obtained in a practical case . for example , by choosing a discharge voltage at the end of ten seconds v o / e = v o / 2 . 71 , one can be certain to obtain a network of exponental envelopes that would cover all the practical cases of ammortizement . in fact at the end of ten seconds , any vehicle , however defectuous the shock absorber may be , will come to rest in its initial position . the voltmeter 12 will have a large enough internal resistance as to not influence the measure by the variation of the potentiometric resistance . for a practical example one can choose the following values : the discharge of the capacitor c will follow : ## equ35 ## as a voltmeter 12 one can use a microammeter indicating 50 microamps at full swing connected in series with a high resistance of about 240 kωso that with a battery of 12 volts the ammeter can deviate to full scale . the voltage will not be influenced by the displacement of the cursor 10 as that resistance is 120 times larger than the potentiometric resistance r o ( i . e ., r o = 2 , 000ω ). the circuit includes two contacts 13 , 14 that can slide vertically which are positioned above and below the contact 21 on cursor 10 . they can be inserted in the circuit by a switch 22 allowing determination of the positive and negative displacement of the envelope by realizing : v o = v x . sbsb . o . this sets the initial voltage on capacitor c . the voltmeter 12 may also by the use of a switch 23 indicate successively the voltage of the cursor 10 , the discharge voltage of the capacitor c or the difference between those two voltages from which the cancellation without change of sign allows the determination of h . it is also possible to connect an oscilliscope ( not shown ) across terminals 15 , 16 that would display the same observation that can be read on the voltmeter 12 . the practical process in order to insure that v o = v x . sbsb . o is the following : the chosen microswitch is positioned against the cursor . when the vehicle is raised ( or lowered ) by a predetermined amount from its rest position , the cursor 10 , interdependent of the body , activates the microswitch which applies to the rc circuit a voltage equal to the voltage at the cursor 10 . when the vehicle body is released , the microswitch remains in its previous position interrupting the supply to the rc circuit , allowing the discharge of the capacitor c . ( 1 ) the cursor 10 is placed at mid course of the resistor 20 and interdependent with the vehicle body in line with the axle where the shock absorber is to be measured . ( 2 ) the microswitch ( 13 or 14 ) corresponding to the sign of the oscillations from which the envelope is scrutinized is selected . ( 3 ) the scale to medium ammortizement ( read either on the resistor scale or the capacitor scale ) is positioned . ( 4 ) the vehicle is raised ( or lowered ) a few centimeters and released abruptly . ( 5 ) three cases may then occur . these cases will be analyzed in the case of the determination of the envelope resulting from positive oscillation . referring to fig6 a and 6b , when the vehicle body rises to its maximum position , the difference of potential v - v x does not cancel out but is the difference between the voltage v and v x . it is necessary to modify the resistor r ( or the capacitor c ) before repeating the trial until the obtention by successive approximations of the cancellation of the voltage v , v x , without change of sign when the body goes through a maximum displacement . referring to fig7 when the vehicle body goes through a maximum displacement the voltmeter indicates a negative voltage v - v x . the resistor r ( or the capacitor c ) should be modified before repeating the trial towards the sense of diminishing ammortization until the obtention by successive approximations of the cancellation of the voltage v - v x without change of sign when the body goes through a maximum displacement . as seen in fig8 the voltage v - v x cancels without change of sign when the body goes through a maximum displacement and the value of the ammortization h can be read on the scale of r ( or c ). a table giving the ammortization h corresponding to the front and rear axle of all types and brands of vehicle could be established . however , as mentioned above , a difficulty is getting agreement by the vehicle and various shock absorber manufacturers . furthermore the value of the optimum ammortization and the value of the minimum admissible ammortizement of a shock absorber in good operating condition can also be established . some types of suspensions do not engender oscillatory movements which follow perfectly the law of the ammortized oscillatory movement causing the envelope of the successive oscillations of being somehow different from the exponential form k . e - h . t as can be seen from fig9 the third maximum of the v x curve is not tangent to the exponential envelope of the two first maxima . however , the determination of the exponential gives somewhat an idea of ammortization and allows therefore to compare the coefficient h measured to the coefficient of a new suspension published in one table . according to the present invention , instead of generating signals corresponding to the curves illustrated in fig1 - 9 , signals are generated corresponding to the maximum deflection of a rocked vehicle on both shock absorber expansion and compression , and differences are calculated . the test is performed on both wheel suspensions ( at front and / or at rear ) and the results are compared . if the suspension is balanced , the results should be similar at both wheels of the front or of the back . if the results differ over a predetermined amount , this is an indication that at least one shock absorber is defective and that the pair should be replaced . if the test results show excessive vehicle oscillation , this also indicates defective shock absorbers . in a first embodiment of the invention , illustrated in fig1 , the means for sensing the movement of the vehicle &# 39 ; s body relative to the ground or wheels comprises a transceiver 30 , 31 , such as an ultrasonic transceiver , which may be mounted by a suction , magnetic or similar mounting to the vehicle &# 39 ; s body at the desired position . in this embodiment , the means for evaluating the data on body movement collected by the sensing device comprises an analog circuit 32 . the necessary parameters employed by the circuit are obtained by measuring the distance of the vehicle &# 39 ; s body from the ground versus time . this is achieved by measuring the doppler shift of the ultrasonic signal ( or other signal ) from a fixed point on the vehicle &# 39 ; s body , reflecting off the ground plane or other plane fixed relative to the ground , and returning to the point of origin at the transceiver . the resultant data is then subjected to appropriate processing , compared with a reference and the results displayed in an interpretable format . the operation principles and sequence of the fig1 embodiment of the invention are set forth in the flow diagram of fig1 . the embodiment of fig1 allows for the utilization of a compact , portable apparatus such as shown in fig1 . in a further embodiment of the invention , the means for sensing movement of vehicle &# 39 ; s body comprises an optical sensing device . in other respects , the apparatus of this embodiment operates identically to the analog device of the fig1 embodiment . this device is highly economized , easy to operate and provides perhaps a more accurate result than that of the device in the fig1 embodiment employing an ultrasonic transceiver since the data acquired is already in digital form and arithmetically processed . in contrast , the device of the fig1 embodiment employing an ultrasonic transceiver compared data with a logarithmic analog . this digital format simplifies the acquisition and display of data . fig1 illustrates a design of a measuring device for the evaluation of automobile suspensions , specifically shock absorbers which operates on a digital basis . digitization of the input data in this design provides simple and accurate mathematical manipulation of data , and display of a numeric result . results displayed by the apparatus of fig1 require minimal interpretation by the operation . the device is very economical , easy to operate , and provides an accurate result . referring to fig1 , the shock absorber evaluator of this embodiment comprises an optical encoder 50 . decoder 51 , microprocessor 52 , control 53 , and display 54 . the details of these elements are discussed hereinbelow . the output of the optical encoder 50 is connected to a decoder circuit 51 which decodes the direction of its rotation to thereby indicate expansion or compression of the shock absorber of the rocking vehicle . the microprocessor 52 has input and output terminals , interrupt inputs , program and data memory . inputs to the microprocessor are from the decoder and operator controls 53 . outputs from the microprocessor control the numeric display 54 and status indicators . now shown is a power supply , obtained from batteries or ac mains . in operation , the vehicle to be tested is raised a given height from the surface on which it rests . the wheels remain on the surface . the measuring device then initialized . the vehicle is quickly released in such a manner that it is able to fall freely . the encoder 50 detects this movement , signaling the microprocessor to begin measurement . the microprocessor receives input data from the decoder and processes it until the end of the measurement cycle . the microprocessor performs the necessary arithmetic operations on the data it has received to produce a numeric output , the value of h . the output is displayed for the operator . fig1 a - 14d illustrate the operating sequence of the apparatus . the principles of computing the result are different from those discussed above with respect to the analog embodiment of fig5 . one difference between this digital design and the analog design is that information is acquired directly in digital form and processed arithmetically . in the analog device the measurement was compared with a logarithmic analog . the digital format simplifies the aquisition and display of data in terms of cost , complexity , and ease of use . the details of the digital design are discussed below . the input transducer ( i . e ., optical decoder 50 of fig1 ) converts an increment of change in the test vehicle &# 39 ; s body height into an electrical pulse . each pulse will then represent a change in height of one unit measure . a typical input transducer , shown in fig1 a and 15b , comprises two lengths 60 , 61 of material , called sliders , which are bound together so that they are free to slide relative to each other adjacent the length of their axes . on one slider 60 a rack gear 62 is attached along its axis . to the other slider 61 , a circular gear 63 is attached which is free to run with its teeth enmeshed with the rack gear 62 . in this manner , one rotation of the circular gear 63 represents a change in distance between the extremities of the sliders 60 , 61 equal to the circumference of the gear 63 . if one of the sliders is attached to the surface on which the test vehicle rests , and the other slider is attached to the body of the vehicle , measurement of change in the vehicle &# 39 ; s height can be made by counting revolutions of the gear 63 , or by measuring the degree of rotation of gear 63 . one simple method of obtaining an electrical pulse is to make a hole 64 in the gear 63 , as shown in fig1 . accuracy of the encoder is plus / minus one unit measure ( 2πr ). as shown in fig1 , a light source 65 is mounted on one side of gear 63 , and a light sensor 66 is mounted on the other side of gear 63 . the light path 67 is established when the opening or hole 64 of gear 63 is in alignment with light source 65 and sensor 66 , and is sensed as described below . in addition to the amount of movement , it is necessary to establish the direction of movement of gear 63 . one method is to provide a second optical path through the encoder gear 63 . the differences between the optical signals describe the direction of rotation in a manner that can be interpreted by the microprocessor . in this example , as shown in fig1 and 19 , a second hole 71 is positioned below the first hole 64 , with one edge aligned with the edge of the first hole 64 along a radius of the encoder gear 63 . the second hole 71 allows the optical path of the second detector to be complete for a greater angle of rotation than the first . in one direction of rotation both optical paths are completed simultaneously , while in the opposite direction they are completed at different times . a light source 68 and sensor 69 are provided for the second optical path 70 . a common light source could be used for both optical paths 67 and 70 . an alternative arrangement is to provide two sensors adjacent each other ( as seen in fig1 ), and the direction of rotation of the gear is determined by detecting which sensor is acivated first . the logical relationships for the instant of first completion of an optical circuit of fig1 are as follows : if paths 67 and 70 are simultaneously closed , then direction = up . if paths 67 and 70 are not closed simultaneously then direction = down . the decoding of directional information may be accomplished in one of two ways . first , a combinational network of logic elements can be constructed . second , the microprocessor may be programmed to carry out the same functions sequentially . fig2 illustrates a logic circuit which provides separate outputs for each direction of rotation , and also an output indicating a changing direction . assume that counter - clockwise ( ccw ) rotation ( fig1 ) means &# 34 ; up &# 34 ;, and vice - versa . in ccw rotation , optical circuits 67 and 70 will be completed at the same instant , satisfying the logical function &# 34 ; a and b &# 34 ;. assuming that the optical circuits register logical high when active , the output of nand gate 81 will go low , clocking the hard - wired high on the data input of latch 84 to its output q . as the encoder gear 63 continues to rotate ccw , input a will go low below input b , causing nand gate 82 to go low . this condition is prevented from being passed to to q of latch 85 by nor gate 87 , disabling latch 85 in this case . thus , only the first condition to be satisfied at each revolution can be latched at the decoder output , which is cleared by nor gate 88 when both a and b become inactive . for directional decode by a microprocessor under program control , a and b would be connected to microprocessor 95 inputs , and an interrupt is generated by a single nor gate 90 as shown in fig2 . sequential logical manipulation of the input data will decode the directional information . to indicate change of direction of gear 63 ( that is , change from expansion to compression of the shock absorber or vice versa ) and gate 89 receives the outputs of nand gates 81 and 82 and feeds its output to latch 90 . one output of latch 90 is fed directly to an xor gate 91 and the other output is fed to xor gate 91 via an inverter 92 and rc circuit 93 . the output of gate 91 indicates change of direction . the microprocessor 52 is programmed to make the measurement in a two step process . first , the data is acquired . second , data is processed through the necessary arithmetic operations to obtain the numeric value of h . the microprocessor 52 is capable of operating in real time . therefore , it is possible to plot in memory the height of the test vehicle versus time . the process and result are analogous to a stylus attached to the body of the vehicle tracing the oscillations on moving graph paper ( see fig2 ). by interrupting the processor periodically , the incrementing a register , a measure of time is recorded . if an output pulse from the decoder causes an interrupt to the processor , and the update of a storage register , a running tally of the position of the vehicle is maintained . assuming the decoder logic of fig2 with each directional output causing a unique interrupt , reference is made to fig1 for a more detailed operation of the device . it can be seen that the service routine for an up interrupt updates a directional flat ( indicating the direction of the previous decoder output ) and a position counter ; no further data is stored . this is because a change in direction from down to up does not represent a maximum of the sign at t o ( see fig2 ). however , in the case of a down interrupt , if a change in direction ( from up to down ) is detected , the time and position are recorded as this represents t 2 . when the data for time t 2 has been recorded , no further positional information is required and the decoder interrupts are disabled . the encoder flag serves to indicate that the vehicle has come to rest . the program assumes that after n time periods the vehicle has ceased to move . the value of the position counter 55 of fig1 is stored at times t 0 , t 1 , t 2 , etc . as described hereinabove , in order to determine h , the following equation is used : referring to fig2 , below are the mathematical calculations made by the microprocessor from the data collected : ## equ36 ## to measure compression ( h 2 ), ## equ38 ## where t 3 is the next maximum ( or minimum ) following t 2 . the initial height of the vehicle is equal to the value of the position counter with the vehicle at rest , stored at location c ( see fig2 ). this is because the counter was initialized at the initial height of the vehicle . for the same reason , the height at time t2 is determined by subtracting the position value at location a from the ` baseline ` value of the vehicle at rest . this method of determining the height of the vehicle has the advantage of being self - calibrating . it does not depend on an exact initial displacement . it is also a simple matter for the microprocessor to perform scaling conversions to achieve the desired values . computation proceeds by finding the natural logarithm of the ratio of adjusted values at t0 and t2 . the logarithmic decrement divided by g ( fig2 ) will result in the value of h . in the simplest realization of the device , only an on - off switch , and momentary reset switch would be required as controls . a numeric display switch would be required as controls . a numeric display with a number of digits sufficient to achieve desired accuracy , and a ready indicator to display microprocessor status would suffice as the output . in such a simple configuration , the operator might enter the ideal value of h for a given vehicle into the system via a keyboard input . the microprocessor would then compare the results , and allowing for tolerances provide a ` good - bad ` indication . more elegant controls and display arrangements are possible . for example , the capabilities of the microprocessor might be more fully exploited by the use of a crt graphics display . in addition to a numerical display , the data could be plotted as a graph ( as in fig2 ), and perhaps superimposed over an ideal plot . this would increase the diagnostic value of the device , while requiring more skillful interpretation of the results . fig2 a - 23c illustrate a concrete circuit realization of an apparatus according to the present invention . the optical encoder 50 , similar to the previously discussed optical encoders , has outputs a and b which are coupled to a decoder 51 ( see fig2 ), the output of which is coupled to a position counter 55 . the outputs of decoder 51 are also gated through an or gate 101 into a shift register 102 . the δ ( change ) direction signal from the output of gate 91 in fig2 is coupled to a counter 103 and also to gating circuits 104 and 105 . the position count output of the up / down counter 55 is coupled to gate 104 as well as to gate 106 , and also to a circuit for determining the cross - over point of the oscillating vehicle relative to the base line . see fig2 . the circuit for detecting the base line will be described below . as described previously , the up / down position counter 55 generates a &# 34 ; δ direction &# 34 ; signal which becomes active when a change in direction is detected . the &# 34 ; up &# 34 ; signal causes the position counter 55 to increment its count by 1 . a &# 34 ; down &# 34 ; signal decrements the count by 1 . the δ direction signal increments the position address counter and simultaneously gates the position counter value into the memory 110 at the appropriate address , thus satisfying the requirement for recording the value corresponding to the vehicle position at each maximum ( or minimum ) of vehicle oscillation . see fig2 . the time or &# 34 ; y &# 34 ; value , at which a maximum or minimum occurs is obtained from the clock counter 111 , which time is also gated into the memory 110 at the appropriate address through gating circuit 105 . the time or &# 34 ; y &# 34 ; value is also gated into a register , the address of which is offset by a constant from the value of the position address counter . the base line of the sinusoidal waveform shown in fig2 can be assumed to be the position when the slope of the sinusoidal waveform is equal to one . the position and time values of each base line occurrence are obtained by detecting a slope of 1 in the sinusoidal signal as measured for a time period equal to n clock cycles . the difference between the &# 34 ; x &# 34 ; ( value of maximum or minimum ) and &# 34 ; y &# 34 ; value ( the time at which position occurs ) from each clock period to the next is obtained by storing the last value in respective registers 112 , 113 and subtracting it from the next present value in subtractors 114 , 115 , respectively . at the time the updated present value is fed to the subtracting circuits , the registers 112 , 113 are also updated so as to be set for the next subtraction cycle . the result from the subtractions in subtractors 114 , 115 is offset by a constant 116 so that the two values are of comparable nature . when the values at the outputs of the subtractors 114 , 115 are equal , as detected by the comparator 117 , the slope is 1 ( slope = x / y ). the logical representation of this condition is fed into a serial - to - parallel shift register 118 , the outputs of which are monitored by an n input and gate 119 . when a slope of unity has been detected for n clock periods , the and gate 119 will generate an output designated as a &# 34 ; base line detect &# 34 ; output which will cause the base line address counter 120 to be incremented . the current x and y values are then gated into the memory 110 . the or gate 101 coupled to the output of the decoder 51 generates a &# 34 ; motion detect &# 34 ; signal which is fed into a k bit shift register 102 . after k clock periods , an end of motion detect signal is generated on the line 102 &# 39 ; at the output of register 102 and is fed into the sequencing logic 121 which comprises a counter , rom &# 39 ; s , input gating , etc . this causes the circuit to ignore further inputs from the encoder 50 and to commence a computation operation . the aforesaid is the data acquisition cycle . the data computation cycle is described below . the control circuit 122 is of generally conventional design and generates the various address and control signals to access the necessary positions in memory , and to perform the necessary &# 34 ; housekeeping &# 34 ; in the system . a detailed discussion thereof is not necessary for those skilled in the art . a brief discussion thereof is given below . with a clock signal gated into the sequencer counter 123 , the output rom 124 successively selects data from the memory array 110 in the order in which it was stored . each maximum ( and minimum ) value and base line value is directed through the appropriate arithmetic function block ( to be described hereafter ) and the derived operands and intermediate functions are stored in temporary registers under the control of the sequencer rom 125 . final results are coupled to the appropriate display registers for visual display , as will be described hereafter . display logic permits comparison of measurements for various shock absorbers . at the conclusion of a computation cycle , the sequencer rom 124 enables the start / reset input , which initializes the circuit so that another data acquisition cycle can begin . the arithmetic section comprises a subtractor 130 , registers 131 , 132 , divider 133 , logarithmic circuit 134 and divider 135 . a second section of the arithmetic circuit comprises registers 136 , 137 and subtraction circuit 138 . the output of subtractor circuit 138 is coupled to the divide circuit 135 , the output of which is fed to the display and display logic section . the arithmetic circuits mentioned immediately above perform the calculations to determine the value h 1 , h 2 and h 3 , as discussed above with reference to fig2 . fig2 illustrates an alternate display arrangement wherein display sections 150 , 151 , 152 are provided for displaying the values of h 1 , h 2 and / or h 3 . alternatively , the displays 150 - 152 may comprise warning lights which will display an indication that one or more of these values exceeded a predetermined limit . the output from the computation circuit ( for example the output of divider 135 in fig2 b ) is coupled to registers 153 , 154 , 155 which in turn couple the outputs to displays 150 - 152 , respectively . the dividers 150 - 152 and registers 153 - 155 comprise a display unit 160 . a separate display unit 160 may be provided for each shock absorber . only two display units 160 are shown in fig2 for ease of description . the display units 160 in fig2 may be , for example , for the respective front shock absorbers of the vehicle . in some instances , it is desirable to determine the ratio of the value of h 1 , h 2 and / or h 3 between the pair of front shock absorbers or between the pair of rear shock absorbers . it has been found that this ratio is a quite meaningful measure of condition of shock absorbers since it is quite rare that shock absorbers will wear out at the same rate . by checking the ratio of the values for two different shock absorbers in a pair of shock absorbers , the ratio is almost always determinative of whether or not the shock absorbers need to be replaced . if the ratio exceeds a predetermined value , this is an indication that one or both of the shock absorbers being compared should be replaced . when such an indication exists , both shock absorbers are replaced to insure symmetrical operation on the vehicle . the ratio may be determined , for example , by providing a divide circuit 171 coupled between the registers storing the h 1 values for , for example , the front wheels . the result of this division is the ratio in question and it is stored in register 172 . similar dividers 173 , 174 are provided to determine the ratios of h 2 and h 3 for the two wheels in question and the results of the divisions are stored in respective registers 175 , 176 . display units 177 - 179 display the results of the respective ratio calculations . it should be clear that another pair of units 160 and a second unit 170 are preferably provided for the other pair of wheels of a four - wheeled vehicle . instead of displays of the numerical values of the ratios , a threshhold circuit can be coupled between the dividers and the registers so that the display will be energized to display a warning signal when the ratio exceeds a predetermined value .