GB2317130A

GB2317130A - Control of workpiece grinding

Info

Publication number: GB2317130A
Application number: GB9717710A
Authority: GB
Inventors: John David Pickles; Stuart Clewes
Original assignee: Western Atlas UK Ltd; Unova UK Ltd
Current assignee: Intermec Europe Ltd
Priority date: 1996-09-13
Filing date: 1997-08-22
Publication date: 1998-03-18
Anticipated expiration: 2017-08-22
Also published as: GB9717710D0; GB2317130B

Abstract

In a method of grinding a crankshaft component, the latter is engaged by a grinding wheel and ground until about 50 microns oversize. The wheelfeed is then arrested and gauging of diameter and eccentricity takes place over several revolutions and at a plurality of angular positions. This information is then computed and averaged by a programmable computer means to produce a control signal for finish grinding the component to size.

Description

Title: Improvements in and Relating to Workpiece Grinding Field of invention This invention concerns the grinding of workpieces such as crankpins and journal bearing sections of crankshafts in which the rotation of the workpiece and the rotation of the grinding wheel is under numerical control in which workpiece gauging means is provided by which the diameter of the component being ground can be accurately determined.

Particularly when grinding off-axis components such as crankpins, errors can arise which introduce non-circularity into the cross-sectional shape of the component (in this case a crankpin). One such source of error arises from the fact that the main axis of the crankshaft will normally lie in the same plane as the axis of rotation of the grinding wheel which means that except for the 3 o'clock and 9 o'clock positions of the crankpin, the axis of the latter will be above or below the plane containing the axes of rotation of the grinding wheel and crankshaft. Since the former has to be advanced and retracted parallel to that plane so as to follow the crankpin and maintain grinding contact therewith, it will be seen that except in the case of a grinding wheel of infinite diameter the curvature of the grinding edge means that the advance and retreat of the grinding wheel has to follow a more complex relationship than would otherwise apparently be the case. Any inaccuracy in the grinding wheel movement will result in peaks or troughs in the ground surface of the component and because of the cyclic nature of the errors, these will typically appear at equally spaced intervals around the component so as to produce for example, two high points and two troughs, or four high points and four troughs etc.

Although correction algorithms can be introduced into the control signals applied to the drive for the wheelhead, some of the errors can arise as a result of component vibration or movement caused by the grinding wheel thrust on the workpiece and these can even vary depending on whether the component which is being ground is near or remote from a supported region of the workpiece.

If the component is ground to size and then gauged for diameter, it will usually be too late to make a further correction and the gauging exercise is merely to determine whether the mean diameter of the ground component and the extremes of maximum and minimum diameters therearound are within acceptable limits. Since the errors concerned are of the order of nanometres or microns in a diameter typically of the order of 20mm or more, and the ground component is itself intended merely as a cylindrical support for a rolling bearing assembly, non-circularity errors such as described have been accepted as an essential, albeit unwanted, by-product of automated machining of such components. In practices non-circularity errors of this nature only tend to appear as a factor which will effect the long-term wear characteristics of a bearing associated therewith and heat produced by friction or other factors is readily accommodated within a typical internal combustion engine environment due to the large quantities of lubricating oil circulating around the crankshaft.

It is nevertheless desirable to eliminate such sources of wear and heat generation so as to optimise the life of the bearings associated with crankpins.

Although usually to a smaller extent, journal bearing sections of crankshafts can also exhibit non-circularity errors as a result of grinding, and these errors can also result in extra wear and heat generation and reduced life expectancy of the bearings associated therewith.

As with the circularity errors in the crankpins, it is desirable to eliminate all such errors if possible so as to optimise the component life and the overall useful life of an internal combustion engine and it is an object of the present invention to provide a method and apparatus by which errors in circularity of ground components such as crankpins and journal bearings of crankshafts can be reduced if not eliminated.

Summarv of the Invention According to one aspect of the present invention there is provided a method of grinding a crankshaft component such as a crankpin in which the component is engaged by a rotating grinding wheel and ground until the component is just oversize by an expected amount, typically of the order of 50 microns, at which stage the wheelfeed is arrested to permit spark-out over a further revolution of the component, thereafter the component is gauged at a plurality of positions about its circumference and the diameters computed and the computed values are stored in relation to the rotational position of the component at which it is gauged and a feed control signal is generated from that information for use during subsequent grinding of the component to control the wheelfeed so as to take into account any out-of-roundness detected from the plurality of diametric measurements obtained from the gauging, and the wheelhead is advanced once again to begin grinding using the control signal derived from the gauged information, so that as the component is finish ground, high points are removed and a more circular component is generated than would otherwise result.

According to a preferred feature of the invention, the multiple position gauging of the component is repeated during a plurality of successive rotations of the component, and the gauging is synchronised with the rotation of the component so that each of the plurality of readings is taken at the same angular position of the component during each of the rotations thereof, and a mean value for the component diameter at each of the different angular positions is derived from the plurality of readings obtained at each said angular position. It has been found that by deriving the mean of a plurality of such readings, errors which can arise due for example to the presence of coolant. can be substantially eliminated, and smoothing the data derived from the gauging operation can reduce, if not eliminate, chatter during the subsequent grinding step.

Preferably the overall process of gauging and generating a feed control signal for the finish grinding step of each component, is performed for each component as it is ground, or for every nth similar component that is ground, or after regular periods of time (such as two or three hours of component grinding), or once every shift or working day, or other convenient period, such as week or month, depending on the level of accuracy required.

Where the process is undertaken for each component, a dedicated feed control signal is generated for each final finish grinding step of each component and this feed control signal need not be stored for longer than is required to complete the grinding process on the component concerned.

Where the gauging and feed control signal generating step is not performed for every component, but only after so many components have been ground or after predetermined periods of time etc, then the method includes the step of storing the correction signal generated from the last gauging operation for use during the finish grinding step of each component thereafter until the next gauging and control signal generating process is undertaken.

The method of the invention is not intended to replace the usual quality control environment within which components such as crankshafts are produced. Any errors detected using conventional quality control techniques can be combined with the present invention to reduce the incidence of incorrect components.

The invention also lies in apparatus for performing the above method comprising a grinding machine, workpiece holding and rotating means for locating and rotating the workpiece in the machine, a grinding wheel and wheelhead assembly movable towards and away from the workpiece to engage and grind the latter, drive means for effecting the movement of the wueelhead towards and away from the workpiece, workpiece engaging gauge means by which the diameter of selected regions of the workpiece can be measured, signal processing means receptive of signals indicative of the dimensions measured by the gauging means, rotation position sensing means associated with the workpiece, and/or a component located thereon, for determining the angular position of the workpiece with reference to a datum, means for generating a signal indicative of that angular position, means for storing information regarding the diameters of the workpiece derived from the dimensioned data from the gauging with the angular position for which the workpiece diameter has been computed, and programmable computer means for converting the stored information into a control signal by which the wheelhead drive means can be controlled during a subsequent grinding operation of the workpiece, and storage means for storing the said control signal.

Since it is necessary to arrest the grinding of the workpiece prior to the final size of the part thereof which is to be ground, the machine preferably further includes means for storing wheelhead control signals for controlling the advance of the wheelhead, which signals are adjustable to enable the advance of the wheelhead to be arrested at an appropriate point at which the workpiece part is still oversize relative to its final desired diameter. Means may be provided, to advantage, to enable the operator to adjust the position at which the advance is arrested so as to determine the extent of the oversize dimension at which the grinding is stopped and the gauging step of the invention is initiated.

Where the control signals for controlling the wheelhead drive during the final finish grinding step are to serve as the control signals for a large number of subsequent grinding operations, the means for storing the control signals is preferably of a permanent nature such that if the power is removed from the machine, the signals are still retained ready for subsequent use when power is restored.

Conveniently the storage medium is a magnetic data disc or tape or an EPROM or like device.

The invention is not limited to the correction of the grinding of eccentric components such as crankpins but may also be applied to the grinding of journal sections of workpieces, such as cylindrical journal bearing regions of crankshafts.

As applied thereto, the invention comprises the steps of stopping the main grinding process whilst the cylindrical region is still oversize by an amount which is greater than the maximum out-of-roundness which from experience or previous observation is likely to be found as a result of the grinding process, the cylindrical region is then subjected to sparkout and gauged at a plurality of angularly spaced positions around its circumference and the diameter is computed for each of the positions at which measurements are made, and the diameter values are stored in combination with data describing the angular position of the workpiece corresponding thereto, a feed control signal for controlling the advance of the grinding wheel head during a final grinding step, to grind the cylindrical region to size, is generated from the stored information relating to the angular positions and diameters of the said region, and the feed to the grinding wheelhead is reinstated and the said generated feed control signals are employed to control the wheel-feed during the final grinding step.

As before, the workpiece may be rotated through a number of complete rotations and gauged at the same angular position during each of the succession of rotations and a mean value for the diameter at each of the different angular position may be computed and stored as the diameter value for each of the said angular positions.

Without further information, the method will not identify any eccentricity of a cylindrical region relative to the axis of rotation of the workpiece, and preferably the invention includes the step of sensing any eccentricity of the cylindrical region during the said rotation of the workpiece during the gauging step and combining this information with the angular position information and the diameter information, to produce a composite control signal for the wheelhead drive so that any eccentricity of the cylindrical region which has been ground, is also removed or reduced during the final grinding step.

If a cylindrical workpiece region is rotated and the axis of rotation is coincident with the centre of the circular cross-section, then assuming the circumference of the cylindrical region is a true cylinder, all of the points on the surface will pass through the same point in space as the workpiece is rotated about the said axis. Put another way, if a probe is positioned so as to just make contact with such a rotating cylindrical surface, there will be no tendency during those rotations for the probe to move relative to the axis of rotation, and the probe will remain stationary at a constant distance (equal to the radius of the cylindrical region) from the axis of rotation.

Any eccentricity means that the axis of the circular shape is no longer coincident with the axis about which the workpiece is rotating. This displacement will appear as a displacement of the probe if the latter is sprung loaded or otherwise kept in contact with the rotating surface of the workpiece. By providing such a probe with movement sensing means and an encoder associated therewith, electrical signals can be generated indicative of any amount by which the probe moves so as to maintain contact with the rotating cylindrical surface, and by combining the linear distance signals obtained from the encoder means with the angular position signals derived from an encoder associated with the rotation of the workpiece (or the numerical control signals supplied to the workpiece drive means), so a set of measurements can be obtained corresponding to the angular positions at which the diameter of the component is computed which also indicate for each said angular position the amount by which the axis of the cylindrical region is non-coincident with the axis about which the workpiece is rotating. A composite control signal can then be derived by correlating the linear dimension signal derived from the probe encoder with the diameter and therefore radius at the same angular position and a control signal generated which, if applied, will result in just the correct amount of material to be ground away from the surface such as to restore it to the desired radius, albeit now centred on the true centre of rotation of the workpiece.

Computing means is preferably provided for computing the control signal values using algorithms and look-up table and a memory provided for storing the control signals therein ready for synchronous readout and to generate a control signal for the wheelhead drive means during the final stage of grinding.

In both aspects of the invention, the generation of the control signals for the final stage of grinding may in each case comprise the combination of a basic control signal with an error signal in which the latter is derived from the gauge and probe associated with the measurements performed on the workpiece part, so that the amount of data to be stored for generating the final control signal is reduced to error signals which for some of the time may be zero.

Eccentricity sensing may be achieved by a sensor or probe attached to the gauge to detect any oscillatory movement of the gauge as the workpiece is rotated between the jaws of the gauge, or by a single probe which is separate from the chordal gauge used to determine the diameter of the component, which single probe is brought into contact with the cylindrical surface and after being zeroed will generate an error signal indicative of the movement of the probe relative to the axis of rotation about which the workpiece rotates (which is deemed to be fixed). Any non-zero values of this error signal are indicative of any eccentricity of the component relative to that axis of rotation.

Although the invention has so far been described in connection with a method in which the grinding is arrested whilst gauging occurs, it is of course possible to use in-process gaugingand where appropriate, in-process eccentricity measurement, storing the computed diameters and eccentricities for different angular positions of the workpiece as it is rotated, and generating control signals for subsequent control of the wheelhead feed in such a way as to reduce any departures from the target diameter and target "eccentricity" for the workpiece region which is being ground, during subsequent grinding thereof. It will be appreciated that in order to achieve this, much greater computing power and higher speed data processing will probably be required than when the wheelhead feed control signals are generated from measurements made on the workpiece or part thereof whilst it is rotated out of engagement with the grinding wheel. This arises from the fact that if grinding has ceased, apart from the need to re-instate grinding as soon as is possible from an overall process point of view, the processing of the data to generate the final wheelhead feed control signal can take as long as is necessary, since grinding will not be initiated until after the control signals have been generated and the system is once again re-engaged in the grinding mode. By contrast, if the control signals are being generated "on the fly", even as the in-process gaugings and eccentricity measurements are being obtained and presented for processing, more material is being removed from the component by the grinding process.

A hybrid arrangement which may represent a more efficient compromise involves a stepwise grinding process during the final grinding of the component or region of the workpiece, in which the wheelhead is advanced in a series of increments and makes no subsequent incremental movement in a positive feed direction (so as to remove more material from the workpiece) until all the data necessary to compute the next incremental move has been computed from the gauging and probing exercise. The advantage of this procedure is that after generating the first corrected control signal so as to reduce noncirculariry or eccentricity, and applying this feed signal, the non-circularity and/or eccentricity of the ground component or region of the workpiece can be checked before any further material is removed, to ascertain whether any further correction of the feed control signal is required to more perfectly conform the component that is being ground to the target size and degree of concentricity.

Where the final phase of grinding is performed as a plurality of small incremental steps, spark-out is preferably performed at the end of each incremental step and before gauging is undertaken.

According to a further aspect of the invention, there is provided a computer display means and a visual representation of the cross-section of the ground component is displayed therein rotating either in synchronism with, but possibly at a fraction of the rate of rotation of, the actual workpiece or component thereof, and any measured out-of-roundness or noncircularity or eccentricity relative to the axis of rotation is converted into control signals for distorting the circular shape and/or position thereof relative to the axis of rotation in the visual display of the component so that the error in the component and its relative angular position around the component may be seen in the display.

According to a preferred feature of this aspect of the invention, any such out-of-roundness and/or eccentricity may be exaggerated in the display by a factor which is either preprogrammed or can be selected by the user, so that any error in the component or workpiece is exaggerated in the display to allow it to be seen by the naked eye. The observer will then be able to see the result of a correction signal subsequently applied.

Brief Description of the Drawings The invention will now be described, by way of example only, with reference to the accompanying drawings in which: Figures la and ib show a sequence of grinding cycle steps required to be initiated by a programme running on a computer controlled grinding machine in order to perform the invention; and Figure 2 is a graphical representation of the relative feed of the grinding wheel against time for one cycle of operation.

Detailed Description of the Drawings The grinding process to be described relates to a known CNC grinding machine with an in-process gauge for grinding in particular the crankpins of a crankshaft for an internal combustion engine.

Figures la and ib show the commands and programmed steps a computer (not shown) controlling the grinding machine must generate, the input it must respond to, and the decisions it must make, under the control of the programme loaded into its memory.

The various steps making up the method of fast accurate determination of, and subsequent control of crank pin size is shown graphically in Figure 2 which is a labelled graph of the CNC crankpin gauged grinding cycle performed by the grinding machine when controlled by a computer program so as to perform the steps of Figures la and ib.

An initial fast grinding feed is used to "roundout" the crankpin. During this feed the inprocess sizing gauge is advanced onto the crankpin. The fast grinding feed is stopped after a fixed feed amount, independent of the gauge. At the end of the fast feed the gauge is used by the machine control computer to sample the size of the crankpin. A prerequisite for the grinding cycle to proceed beyond this point is that this sample of size sensibly confirms that the gauge is on the crankpin and functioning properly.

After confirming that the gauge is functioning properly the grinding feed restarts at the medium rate of feed. In normal operation this feed will be stopped in response to signals derived from the in-process gauge as sampled by the machine control computer as follows.

Whilst the grinding feed is proceeding towards a target size near final size typically 0.030mm on diameter above final size, the instantaneous size of the crankpin being ground is continuously sampled by the machine control computer.

If one or two or more consecutive samples of crank pin size are found to be at or below the target size, the controlling computer immediately stops the grinding feed and initiates a feed dwell. This dwell, measured as N revolutions of the crankpin (typically 2 revolutions) permits the crankpin to achieve good geometric roundness and a stable size.

This procedure gives an optimum response to fast grinding feeds commensurate with fast manufacturing times. During this feed dwell the controlling computer stores a number of consecutive sampler of crankpin size measured at different angular positions of the pin relative to the gauge fingers so that it can calculate an average value of the pin diameter.

As shown in Figure ib, any deviation of each diameter computation (or direct reading by the gauge, depending on the type used) from the computed average diameter, is stored in association with the corresponding angular position of the pin at the time, so that the roundness of the pin can be indicated, and/or plotted or displayed if desired, and a roundness correction table generated.

At the completion of this dwell, the average diameter value is calculated, and this value used to calculate the feed distance to achieve the desired final size of the pin. At the same time the roundness correction table is used in the computation to provide the correct positioning of the grinding wheel with respect to the relevant angular position of the pin so as to minimise roundness errors in the pin. The controlling computer then initiate an incremental feed to final size. At the start of this incremental feed, the gauge, having completed its work, is retracted, with the object of minimising manufacturing time.

Because the feed to final size is not being controlled by gauge, it does not have to be slow but can be optimised to eliminate the build-up of machining vibrations and/or minimise machining time.

After a final "sparkout feed dwell", measured as n revolutions of the pin, the grinding wheel is retracted, initially at a slow rate so as not to leave any grinding wheel breakaway mark, and then at a fast rate to minimise manufacturing time.

Claims

1. A method of grinding a crankshaft component such as a crankpin in which the component is engaged by a rotating grinding wheel and ground until the component is just oversize by an expected amount, typically of the order of 50 microns, at which stage the wheelfeed is arrested to permit spark-out over a further revolution of the component, thereafter the component is gauged at a plurality of positions about its circumference and the diameters computed and the computed values are stored in relation to the rotational position of the component at which it is gauged and a feed control signal is generated from that information for use during subsequent grinding of the component to control the wheelfeed so as to take into account any out-of-roundness detected from the plurality of diametric measurements obtained from the gauging, and the wheelhead is advanced once again to begin grinding using the control signal derived from the gauged information, so that as the component is finish ground, high points are removed and a more circular component is generated than would otherwise result.

2. A method according to claim 1 in which the multiple position gauging of the component is repeated during a plurality of successive rotations of the component, and the gauging is synchronised with the rotation of the component so that each of the plurality of readings is taken at the same angular position of the component during each of the rotations thereof, and a mean value for the component diameter at each of the different angular positions is derived from the plurality of readings obtained at each said angular position.

3. A method according to claim 1 or claim 2 in which the overall process of gauging and generating a feed control signal for the finish grinding step of each component, is performed for each component as it is ground, or for every nth similar component that is ground, or after regular periods of time (such as two or three hours of component grinding), or once every shift or working day, or other convenient period such as week or month, depending on the level of accuracy required.

4. A method according to claim 3 wherein the process is undertaken for each component, a dedicated feed control signal is generated for each final finish grinding step of each component and this feed control signal need not be stored for longer than is required to complete the grinding process on the component concerned.

5. A method according to claim 3 wherein the gauging and feed control step is only performed after every na component or after a predetermined period, and further comprising storing the correction signal generated from the last gauging operation for use during the finish grinding step of each component thereafter until the next gauging and control signal generating process is undertaken.

6. A method according to any one preceding claim in which errors detected using conventional quality control techniques are combined with said feed control signal.

7. A method according to any one of claims 1 to 6 as applied to a cylindrical region of a workpiece rotatable about its own axis, comprising the steps of stopping the main grinding process whilst the cylindrical region is still oversize by an amount which is greater than the maximum out-of-roundness which from experience or previous observation is likely to be found as a result of the grinding process, the cylindrical region is then subjected to spark-out and gauged at a plurality of angularly spaced positions around its circumference and the diameter is computed for each of the positions at which measurements are made, and the diameter values are stored in combination with data describing the angular position of the workpiece corresponding thereto, a feed control signal for controlling the advance of the grinding wheel head during a final grinding step, to grind the cylindrical region to size, is generated from the stored information relating to the angular positions and diameters of the said region, and the feed to the grinding wheelhead is reinstated and the said generated feed control signals are employed to control the wheel-feed during the final grinding step.

8. A method according to claim 7 in which the workpiece is rotated through a number of complete rotations and gauged at the same angular position during each of the succession of rotations and a mean value for the diameter at each of the different angular position is computed and stored as the diameter value for each of the said angular positions.

9. A method according to any one of claims 1 to 8, further comprising the step of sensing any eccentricity of the cylindrical region during the said rotation of the workpiece during the gauging step and combining this information with the angular position information and the diameter information, to produce a composite control signal for the wheelhead drive so that any eccentricity of the cylindrical region which has been ground, is also removed or reduced during the final grinding step.

10. A method according to any one of claims 1 to 9 in which in-process gauging and eccentricity movement is used, and further comprising the stages of storing the computed diameters and eccentricities for different angular positions of the workpiece as it is rotated, and generating control signals for subsequent control of the wheelhead feed in such a way as to reduce any departures from the target diameter and target "eccentricity" for the workpiece region which is being ground, during subsequent grinding thereof.

11. A method according to claim 10 further comprising a step-wise grinding process during the final grinding of the component or region of the workpiece, in which the wheelhead is advanced in a series of increments and makes no subsequent incremental movement in a positive feed direction (so as to remove more material from the workpiece) until all the data necessary to compute the next incremental move has been computed from the gauging and probing exercise.

12. A method according to claim 11 in which spark-out is performed at the end of each incremental step and before gauging is undertaken.

13. Apparatus for performing the method according to any one preceding claim, comprising a grinding machine, workpiece holding and rotating means for locating and rotating the workpiece in the machine, a grinding wheel and wheelhead assembly movable towards and away from the workpiece to engage and grind the latter, drive means for effecting the movement of the wheelhead towards and away from the workpiece, workpiece engaging gauge means by which the diameter of selected regions of the workpiece can be measured, signal processing means receptive of signals indicative of the dimensions measured by the gauging means, rotation position sensing means associated with the workpiece, and/or a component located thereon, for determining the angular position of the workpiece with reference to a datum, means for generating a signal indicative of that angular position, means for storing information regarding the diameters of the workpiece derived from the dimensioned data from the gauging with the angular position for which the workpiece diameter has been computed, and programmable computer means for converting the stored information into a control signal by which the wheelhead drive means can be controlled during a subsequent grinding operation of the workpiece, and storage means for storing the said control signal.

14. Apparatus according to claim 13 and further comprising means for storing wheelhead control signals for controlling the advance of the wheelhead, which signals are adjustable to enable the advance of the wheelhead to be arrested at an appropriate point at which the workpiece part is still oversize relative to its final desired diameter.

15. Apparatus according to claim 13 in which means are provided to enable the operator to adjust the position at which the advance is arrested so as to determine the extent of the oversize dimension at which the grinding is stopped and the gauging step is initiated.

16. Apparatus according to any one of claims 13 to 15 in which said means for storing information is of a permanent nature.

17. Apparatus according to claim 16 in which said means comprises a magnetic data disc or tape or an EPROM or like device.

18. Apparatus according to any one of claims 13 to 17 further comprising a probe with movement sensing means and an encoder associated therewith. whereby electrical signals can be generated indicative of any amount by which the probe moves so as to maintain contact with the rotating cylindrical surface, and by combining the linear distance signals obtained from the encoder means with the angular position signals derived from an encoder associated with the rotation of the workpiece (or the numerical control signals supplied to the workpiece drive means), so a set of measurements can be obtained corresponding to the angular positions at which the diameter of the component is computed which also indicate for each said angular position the amount by which the axis of the cylindrical region is non-coincident with the axis about which the workpiece is rotating.

19. Apparatus according to claim 18 in which computing means is provided for computing the control signal values using algorithms and look-up table, and a memory provided for storing the control signals therein ready for synchronous readout and to generate a control signal for the wheelhead drive means during the final stage of grinding.

20. Apparatus according to claim 19 in which said control signal for the final stage of grinding comprises the combination of a basic control signal with an error signal in which the latter is derived from the gauge and probe associated with the measurements performed on the workpiece part, so that the amount of data to be stored for generating the final control signal is reduced to error signals which for some of the time may be zero.

21. Apparatus according to any one of claims 18 to 20 in which the probe is attached to the gauge to detect oscillatory movement of the gauge as the workpiece rotates, or comprises a single probe.

22. Apparatus according to any one of claims 13 to 21 in which said gauge means is an in-process gauge.

23. Apparatus according to any one of claims 13 to 22 in which a computer display means and a visual representation of the cross-section of the ground component is displayed therein rotating either in synchronism with, but possibly at a fraction of the rate of rotation of, the actual workpiece or component thereof, and any measured out-ofroundness or non-circularity or eccentricity relative to the axis of rotation is converted into control signals for distorting the circular shape and/or position thereof relative to the axis of rotation in the visual display of the component so that the error in the component and its relative angular position around the component may be seen in the display.

24. Apparatus according to claim 23 in which such out-of-roundness or eccentricity is exaggerated in the display by a factor which is either pre-programmed or can be selected by the user, so that any error in the component or workpiece is exaggerated in the display to allow it to be seen by the naked eye.

25. A method of grinding a crankshaft component substantially as herein described with reference to, and as illustrated in, the accompanying drawings.

26. Apparatus for grinding a crankshaft component substantially as herein described with reference to, and as illustrated in, the accompanying drawings.