WO2006054745A1 - タイヤ変形量算出方法及びタイヤ変形量算出装置 - Google Patents
タイヤ変形量算出方法及びタイヤ変形量算出装置 Download PDFInfo
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- WO2006054745A1 WO2006054745A1 PCT/JP2005/021369 JP2005021369W WO2006054745A1 WO 2006054745 A1 WO2006054745 A1 WO 2006054745A1 JP 2005021369 W JP2005021369 W JP 2005021369W WO 2006054745 A1 WO2006054745 A1 WO 2006054745A1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/32—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring the deformation in a solid
Definitions
- the present invention relates to the amount of deformation at a position on the tire circumference at a predetermined portion of a tire rolling on a road surface, using acceleration measurement data of an acceleration force from an acceleration sensor provided at the predetermined portion of the tire.
- the present invention relates to a tire deformation amount calculation method and a tire deformation amount calculation device.
- a tire deformation amount calculation method for calculating a deformation amount at a position on the tire circumference of a tread portion of a tire rolling on a road surface by using acceleration measurement data from an acceleration sensor provided on the tire tread portion.
- a tire deformation amount calculation device for calculating a deformation amount at a position on the tire circumference of a tread portion of a tire rolling on a road surface by using acceleration measurement data from an acceleration sensor provided on the tire tread portion.
- the (deformed shape of the tread portion of the tire) and the contact length have been obtained by simulating a rolling tire using a finite element model.
- the time required to create the finite element model and the point of calculation time for the simulation were strong enough that the tread deformation and contact length could not be acquired in a short time. For this reason, the contact length and deformation shape during rolling were replaced with the contact length and tire deformation shape during non-rolling.
- the deformed shape on the circumference of the tire which affects the contact length and contact shape of the rolling tire, has a significant effect on the tire performance. It was necessary to obtain the deformed shape and judge the tire performance.
- Patent Documents 1 to 3 an acceleration sensor is attached to a tire to acquire measurement data of the acceleration of the rolling tire, and a power spectrum and a vibration spectrum are obtained from the acquired measurement data.
- a method for estimating the road surface condition during rolling and a method for determining the timing of the tread portion contacting the road surface is disclosed.
- Patent Document 1 Japanese Patent Application Laid-Open No. 2002-340863
- Patent Document 2 JP 2003-182476 A
- Patent Document 3 Japanese Translation of Special Publication 2002-511812
- the present invention provides a tire deformation amount calculation method and a tire deformation amount calculation device for calculating the deformation amount of a tire when rolling on a road surface using measurement data of acceleration at a predetermined portion of the tire,
- the present invention provides the following tire deformation amount calculation method for calculating a deformation amount of a tire when the tire rolls on a road surface.
- This tire deformation amount calculation method is based on the deformation of the tire from the acquisition step of acquiring the acceleration measurement data for at least one rotation of the tire at a predetermined part of the rolling tire and the acquired acceleration measurement data.
- a signal processing step for extracting time series data of acceleration and a second-order time integration for the time series data of acceleration based on the deformation of the tire to obtain displacement data, thereby obtaining the deformation at the predetermined portion of the tire.
- a deformation amount calculating step for calculating the amount.
- the acquisition step for example, acceleration of the tread portion of the tire is acquired, and in the deformation amount calculation step, the deformation amount in the tread portion of the tire is calculated.
- the region on the tire circumference in the tread portion of the tire is divided into a first region including a contact region with the road surface and a second region other than this, and in the signal processing step, By approximating the measurement data of the acceleration in the area, a first approximate curve defined on the first area and the second area is calculated, and the first approximation curve is obtained from the acceleration waveform acquired in the acquisition step.
- By subtracting the approximate curve acceleration time-series data based on the amount of tire deformation in the first region and the second region is extracted.
- the area on the circumference of the tread portion of the tire is divided into a third area including a contact area with the road surface and a fourth area other than this.
- the second approximate curve defined on the third area and the fourth area is calculated by approximating the displacement data of the fourth area.
- the waveform force of the displacement data is preferably calculated by subtracting the second approximate curve.
- the time series data of the acceleration corresponding to the tire deformation that is, the accuracy of the acceleration based on the tire deformation without noise component is high. Time series data can be calculated.
- the first approximate curve is a curve obtained by providing a plurality of nodes in the second region and approximating the acceleration measurement data in the first region in addition to the second region.
- the first approximate curve is calculated by giving a weighting factor to the time series data of the acceleration in the first region and the time series data of the acceleration in the second region. Approximate the time series data of the acceleration in the first area and the second area by increasing the weighting coefficient of the time series data of the acceleration in the second area compared to the time series data of the acceleration in the area It is preferable that it is a curved line.
- the second region is preferably a region where the absolute value of the angle in the circumferential direction is at least 60 degrees or more with reference to the center position of the ground contact region of the tire.
- the second approximate curve is a curve obtained by providing a plurality of nodes in the fourth region and approximating the displacement data in the third region in addition to the fourth region. Preferably there is.
- the second approximate curve is calculated by a least square method by giving a weighting factor to the displacement data of the third region and the displacement data of the fourth region. It is preferable that the weight coefficient of the displacement data of the fourth region is larger than the displacement data of the third region, and the curve approximates the displacement data in the third region and the fourth region. .
- the acceleration measurement data is, for example, data obtained by placing an acceleration sensor on the tread portion of the tire.
- the acceleration measurement data includes radial acceleration data orthogonal to the tire circumferential direction, tire circumferential acceleration data, and tire width direction acceleration. Preferably at least one of the degree data.
- the acceleration measurement data is at least one of radial acceleration data orthogonal to the tire circumferential direction and tire acceleration data, and the tire deformation amount is: It is the amount of deformation in the radial direction and circumferential direction of the tread portion of the tire, or the amount of deformation in the radial direction, and it is preferable to calculate the contact length during rolling of the tire.
- the tire deformation amount calculation method when the acceleration measurement data is radial acceleration data orthogonal to the tire circumferential direction, the tire deformation is calculated when the contact length is calculated.
- the contact length is calculated using these two positions as positions corresponding to the front end and the rear end of the tire contact area.
- the time-series data of acceleration based on tire deformation used in the calculation of the contact length is the acceleration obtained by second-order differentiation of the deformation calculated in the deformation calculation step with respect to time. Time series data is preferred.
- the displacement data force obtained in the deformation amount calculating step is obtained as a tire deformation shape, and the lowest point force of the tire in the deformation shape of the tire is defined as a position crossing a straight line separated by a predetermined distance in the upward direction of the tire It is preferable to calculate the contact length as the position of the front end and the rear end of the contact region.
- the present invention is a tire deformation amount calculation device for calculating a deformation amount of a tire when the tire rolls on a road surface, and at least a tire at a predetermined portion of the rolling tire.
- a data acquisition unit that acquires acceleration measurement data for one rotation, a signal processing unit that extracts time series data of acceleration based on tire deformation from the acquired acceleration measurement data, and acceleration based on the tire deformation
- a tire deformation amount calculation unit comprising: a deformation amount calculation unit that calculates a deformation amount at a predetermined portion of the tire by calculating displacement data by performing second-order time integration on the time series data of Providing equipment.
- the amount of deformation of the tire when rolling on the road surface can be calculated by using acceleration measurement data at a predetermined portion of the tire, for example, a tread portion.
- a predetermined portion of the tire for example, a tread portion.
- the area on the tire circumference in the tread part of the tire is divided into a first area including a contact area with the road surface and a second area other than the first area.
- the first approximate curve defined in the first and second regions is calculated by approximating the acceleration measurement data in the first region.
- the first approximate curve is provided with a plurality of nodes in the second region and approximates time series data of acceleration in the first region and the second region
- the region on the tire circumference of the tread portion of the tire is divided into a third region including a contact region with the road surface and a fourth region other than this, and the displacement data of the fourth region is approximated.
- the second approximate curve defined in the third region and the fourth region is calculated.
- the background component can be obtained so as to change periodically with the rotation of the tire deformation amount force S tire.
- the second approximate curve is calculated by providing a plurality of nodes in the fourth region and approximating the displacement data in the third region and the fourth region.
- the approximate curve is calculated by giving a large weighting factor to the time series data of the acceleration in the fourth area with respect to the time series data of the acceleration in the third area, so that the background component can be obtained more accurately. I'll do it.
- FIG. 1 is a block diagram showing an example of a tire deformation amount calculation apparatus according to the present invention that implements a tire deformation amount calculation method according to the present invention.
- FIG. 2 is a flowchart showing an example of a flow of a tire deformation amount calculation method according to the present invention.
- FIG. 3] (a) to (d) are graphs showing signal waveforms obtained by the tire deformation amount calculation method of the present invention.
- FIG. 5 (a) and (b) are contact length calculation methods performed by the tire deformation amount calculation method of the present invention.
- FIG. 6 is a diagram showing an example of a contact length calculated by the tire deformation amount calculation method of the present invention.
- [7] (a) and (b) are diagrams showing the deformed shape of the tire obtained by the tire deformation amount calculating method of the present invention.
- (a) and (b) are diagrams showing the amount of deformation in the circumferential direction and the width direction of the tire obtained by the tire deformation amount calculation method of the present invention.
- FIG. 1 is a block diagram showing a configuration of an embodiment of a tire deformation amount calculation apparatus according to the present invention that implements a tire deformation amount calculation method according to the present invention.
- the measurement data is obtained by measuring the acceleration of the inner peripheral surface of the tread portion of the tire.
- the measurement data is not limited to the acceleration measurement data of the tread portion. It may be acceleration measurement data in the tread part, belt part, side part, or the like.
- the tire deformation amount calculation device 10 shown in FIG. 1 is a device that calculates the tire deformation amount using measurement data of acceleration in the tread portion of the tire 1.
- the acceleration of the tread portion of the tire 1 is acceleration measurement data detected by the acceleration sensor 2 fixed on the inner peripheral surface of the hollow area inside the tire and amplified by the amplifier 4.
- the measurement data by the acceleration sensor 2 is data transmitted from a transmitter (not shown) provided on the rolling tire to the receiver 3 and amplified by the amplifier 4.
- a transmitter may be provided on a wheel assembled in a tire, and the data of acceleration sensor force may be transmitted to the receiver 3 as well, or the acceleration sensor 2 may have a separate transmission function, and the acceleration sensor It may be configured to transmit from 2 to the receiver 3.
- an amplifier that amplifies the data of the acceleration sensor 2 is provided on the wheel together with the transmitter, and the data received by the receiver is supplied to the tire deformation amount calculation device 10.
- the acceleration sensor 2 for example, a semiconductor acceleration sensor disclosed in Japanese Patent Application No. 2003-134727 (Japanese Patent Laid-Open No. 2004-340616) previously filed by the applicant of the present application is exemplified.
- the semiconductor acceleration sensor includes a Si wafer in which a diaphragm is formed in the Si wafer outer peripheral frame portion, and a pedestal for fixing the wafer outer peripheral frame portion.
- a weight is provided at the center of one surface of the diaphragm, and a plurality of piezoresistors are formed on the diaphragm.
- the diaphragm When acceleration is applied to the semiconductor acceleration sensor, the diaphragm is deformed, and the resistance value of the piezoresistor changes due to the deformation.
- a bridge circuit is formed so that this change can be detected as acceleration information.
- this acceleration sensor By fixing this acceleration sensor to the tire inner peripheral surface, the acceleration acting on the tread portion during tire rotation can be measured.
- the acceleration sensor 2 may use a known acceleration pickup using a piezoelectric element, or may use a known strain gauge type acceleration pickup combined with a strain gauge.
- the measurement data of the acceleration sensor may be transmitted from a transmitter provided in the acceleration sensor.
- the tire deformation amount calculation device 10 to which the acceleration measurement data amplified by the amplifier 4 is supplied includes a data acquisition unit 12, a signal processing unit 14, a deformation amount calculation unit 16, and a data output unit 18. To do.
- Each of these parts is defined by subroutines and subprograms that function on the computer. That is, by executing software on a computer having the CPU 20 and the memory 22, the tire deformation amount calculation device 10 is configured by the functions of the above-described parts.
- the tire deformation amount calculation device of the present invention may be a dedicated device in which the function of each part is configured by a dedicated circuit instead of a computer.
- the data acquisition unit 12 is a part that acquires, as input data, measurement data of acceleration for at least one rotation of the tire amplified by the amplifier 4.
- the data supplied from the amplifier 4 is analog data. This data is sampled at a predetermined sampling frequency and converted to digital data.
- the signal processing unit 14 is a part that extracts time-series data of acceleration based on tire deformation from digitized acceleration measurement data.
- the signal processing unit 14 performs a smoothing process on the acceleration measurement data, calculates an approximate curve for the smoothed signal, and obtains the background component 1. By removing the background component 1 from the smoothed acceleration measurement data, the time series data of the acceleration based on the tire deformation is extracted. Specific processing will be described later.
- the deformation amount calculation unit 16 is a part that calculates the deformation amount of the tire by performing second-order time integration on the time series data of acceleration based on the deformation of the tire to obtain displacement data. Second-order integration with respect to time is performed on the time series data of acceleration based on tire deformation, and then an approximate curve is calculated for the data obtained by second-order integration to obtain background component 2, and this background The amount of deformation of the tire is calculated by removing component 2 from the displacement data obtained by second-order integration. Further, after that, a second-order differential with respect to time is performed on the calculated tire deformation amount data to obtain acceleration data corresponding to the tire deformation amount, that is, acceleration data based on tire deformation that does not include a noise component. Calculate time-series data. Specific processing will be described later.
- the data output unit 18 is a part that obtains the contact length of the tire and the deformed shape of the tread portion from the calculated time series data of the deformation amount of the tire and the acceleration based on the tire deformation, and uses it as output data.
- the obtained output data is sent to the display 24 and used for graph display etc. I can.
- FIG. 2 is a flowchart showing a tire deformation amount calculation method performed by such a tire deformation amount calculation apparatus 10.
- Figs. 3 (a) to (d) and Figs. 4 (a) to (c) show an example of the results obtained by each process of the tire deformation calculation method. These results are obtained when the radial deformation amount in the tire tread portion is calculated from the acceleration sensor 2 in the radial direction (radial direction) of the acceleration sensor 2.
- the present invention is not limited to the case where the radial deformation amount is calculated using the tire radial acceleration measurement data, and the tire circumferential direction or width direction acceleration data is used to calculate the tire circumferential direction or The amount of deformation in the width direction can also be calculated. Furthermore, it is also possible to simultaneously obtain the measurement data of the acceleration in the circumferential direction and the width direction of the tire and simultaneously calculate the deformation amounts in the circumferential direction and the width direction from these two data.
- the acceleration amplified by the amplifier 4 is supplied to the data acquisition unit 12, sampled at a predetermined sampling frequency, and digital measurement data is acquired (step S100).
- the acquired measurement data is supplied to the signal processing unit 14, and first, smoothing processing using a filter is performed (step S102).
- the measurement data supplied to the signal processing unit 14 contains a lot of noise components, and therefore smoothing processing results in smooth data as shown in Fig. 3 (b).
- a digital filter having a predetermined frequency as a cutoff frequency is used as the filter.
- the cut-off frequency varies depending on the rolling speed and noise component. For example, when the rolling speed is 60 (km / h), the cut-off frequency is set to 0.5 to 2 (kHz).
- smoothing processing may be performed using moving average processing or a trend model instead of the digital filter.
- the horizontal axis represents the time axis, and at the same time the tire circumferential position is expressed in ⁇ (degrees).
- Such a circumferential position ⁇ (degrees) is obtained from the relative positional relationship between the circumferential position of the mark and the circumferential position of the acceleration sensor 2 by detecting the mark on the tire by a mark detection means (not shown).
- the circumferential position ⁇ (degrees) of the rolling tire can be determined.
- Fig. 3 (b) the measurement data of acceleration for approximately three laps of the tire is shown.
- step S 104 the smoothed acceleration measurement data force background component 1 is calculated.
- the radial acceleration background component 1 includes the acceleration component and the gravity acceleration component of the centrifugal force (centripetal force) during rolling of the tire (note that these components are also included in the background component of the circumferential acceleration) .
- the waveform of background component 1 is shown by a dotted line.
- ⁇ 90 degrees.
- ⁇ 0 to 90 degrees and 270 degrees to 360 degrees, 360 degrees to 450 degrees and 630 degrees to 720 degrees, 720 degrees to 810 degrees and 980 degrees to 1070 degrees
- ⁇ 0 to 90 degrees and 270 degrees to 360 degrees, 360 degrees to 450 degrees and 630 degrees to 720 degrees, 720 degrees to 810 degrees and 980 degrees to 1070 degrees
- a predetermined function group for example, a cubic spline function
- the measurement data force of acceleration in the second region is also calculated.
- the deformation force due to the contact of the tread, and the deformation changes smoothly around the circumference. Dominant.
- the tread portion of the tire changes greatly and rapidly based on the ground deformation.
- the change in acceleration component due to contact deformation is greater than the change in the acceleration component and gravity acceleration component of centrifugal force (centripetal force) due to tire rotation.
- the acceleration measurement data in the second region is roughly the acceleration component and the gravity acceleration component of the centrifugal force (centripetal force) during rolling of the tire, and the measurement data of the acceleration in the second region is mainly used.
- the ground contact center position force should be at least in the range of angles between 0 and 60 degrees in absolute value.
- the first approximate curve representing the calculated background component 1 is also subtracted from the acceleration measurement data force processed in step S102, so that the measurement data force is also a calorie velocity component and gravitational acceleration based on tire rotation.
- the component is removed (step S106).
- Figure 3 (d) shows the time series data of the acceleration after removal. As a result, an acceleration component based on the ground deformation of the tread portion of the tire can be extracted.
- step S108 the calculated time series data of acceleration based on ground deformation is subjected to second-order time integration in the deformation amount calculation unit 16 to generate displacement data (step S108).
- Fig. 4 (a) shows the result of second-order integration of the time series data of Fig. 3 (c) with respect to time.
- the displacement increases with time.
- the time series data of acceleration to be integrated includes a noise component and is integrated by integration.
- the amount of deformation or displacement at a point of interest in the tread portion of a tire that rolls in a steady state is observed, it shows a periodic change in units of the tire rotation cycle. Therefore, it is usually not possible for the displacement to increase with time.
- the following processing is performed on the displacement data so that the displacement data obtained by performing the second-order time integration shows a periodic change with the tire rotation period as a unit.
- the noise component included in the displacement data is calculated as the background component 2 in the same manner as the method for calculating the background component 1 (step S110).
- ⁇ 0 to 90 degrees and 270 degrees to 360 degrees, 360 degrees to 4 50 degrees and 630 degrees to 720 degrees, 720 degrees to 810 degrees and 980 degrees to 10 70 Define the area below the degree.
- the background component 2 uses the plurality of circumferential positions (the time corresponding to ⁇ or ⁇ ) in the fourth region as nodes, and uses the predetermined function group to obtain the third region and the fourth region.
- the third region may be a region that coincides with the first region described above, or may be a different region.
- the fourth region may be a region that coincides with the second region described above, or may be a different region.
- the node means a constraint condition on the horizontal axis that defines the local curvature (flexibility) of the spline function.
- the second approximate curve representing the background component 2 is indicated by a dotted line.
- the background component 2 is calculated mainly using the displacement data in the fourth region. It is to do. In the fourth region, the deformation due to contact of the tread is small and the deformation changes smoothly on the circumference, so the amount of deformation of the tire is extremely small even on the circumference. On the other hand, in the third region, the tread portion of the tire is greatly displaced and rapidly changes based on the ground deformation. For this reason, the amount of deformation due to ground deformation is large and rapidly changes on the circumference. That is, the deformation amount of the tread portion in the fourth region is substantially constant as compared with the third deformation amount.
- the second approximate curve calculated mainly using the displacement data of the fourth region is indicated by a dotted line.
- the second approximate curve is almost identical to the displacement data (solid line).
- Figure 4 (c) shows the amount of deformation based on the ground deformation of the tread calculated by subtracting the second approximate curve (dotted line) from the displacement signal (solid line) shown in Figure 3 (b). Distribution is shown.
- Fig. 4 (c) shows the distribution of the amount of deformation for three rotations (three times of grounding) when a predetermined measurement position on the tread is rotated around the circumference and displaced. It can be seen that the amount of deformation changes each time the tire contacts the ground due to rolling of the measured partial force tire.
- the deformation amount calculated in this way is collected as output data in the data output unit 18 and output to the display 24 or a printer (not shown).
- the amount of deformation calculated by such a method agrees with the amount of deformation when a simulation is performed using a finite element model of the tire with high accuracy.
- the data output unit 18 can determine the contact area and the contact length of the rolling tire by using the deformation amount.
- FIG. 5 (a) shows a method for determining the contact area and the contact length.
- This time-series data of acceleration is data that does not include a noise component based on ground deformation of the tread portion of the tire.
- the positions in the displacement data corresponding to the two obtained points are obtained, and these positions are taken as the positions of the front end and the rear end as shown in Fig. 5 (a).
- the part where the time series data of acceleration changes greatly in this way can be defined as the ground contact front end and the ground back end when the tread part rotates and comes to the ground contact area or exits from the ground contact area. Sometimes the force of the tire deforms rapidly. Also, the position where acceleration time-series data crosses zero can be clearly defined.
- the lower graph in Fig. 5 (a) is written by changing from a polar coordinate system expressed in the radial direction and circumferential direction of the tire to an orthogonal coordinate system expressed in the vertical direction of the tire and the longitudinal direction. It is a graph and is a graph which shows the deformation
- the contact length calculated by such a method agrees with the contact length accurately when simulation is performed using a finite element model of the tire. [0037] Further, instead of the method shown in Fig. 5 (a), the ground region and the ground length can be obtained by the method shown in Fig. 5 (b).
- Fig. 5 (b) shows the horizontal axis of the tire by dividing the position in the front-rear direction of the tire by the outer diameter R of the tread portion of the tire when the ground contact center position of the tire is the origin.
- the vertical position of the tire is divided by the outer diameter R and is normalized to be the vertical axis.
- the normalized position corresponding to the front end of the ground and the rear end of the ground corresponding to the position crossing a straight line ⁇ away from the lowest point in the up and down direction
- the positions of the front end of contact and the rear end of contact can be determined, whereby the contact area and length of the tire can be determined.
- the constant distance ⁇ used for determining the front end position and the rear end position is preferably in the range of, for example, 0.001-0.005.
- the position where the square value of the distance when the tread portion is separated upward from the lowest point crosses a predetermined value can be set as the front end and the rear end.
- the upper Symbol predetermined value ⁇ or a value in the range of 0. 00002 (cm 2) ⁇ 0. 00005 (cm 2), preferably ⁇ or 0. 00004 (cm 2) is used. It has been confirmed that the measurement results obtained by variously examining the contact length by changing the load applied to the stationary tire and the result of the contact length obtained by the above method show extremely high correlation.
- FIG. 6 shows an example of the contact area and contact length obtained by the above method.
- the bold line in Fig. 6 indicates the grounding area.
- the force is used to calculate the amount of deformation in the radial direction of the tire using the measurement data of the radial acceleration in the tread portion of the tire.
- the acceleration data in the circumferential direction or width direction (direction parallel to the tire rotation axis) can be acquired simultaneously, and the amount of deformation in the circumferential direction or width direction of the tire can be calculated by the method shown in FIG. . That is, in the tire deformation amount calculation method according to the present invention, at least the radial acceleration measurement data perpendicular to the tire circumferential direction, the tire circumferential acceleration measurement data, and the tire width direction acceleration measurement data are at least.
- the amount of tire deformation can be calculated using one piece of measurement data.
- the acceleration measurement data force is applied in the radial direction orthogonal to the circumferential direction of the tire.
- the radial deformation amount and the circumferential deformation amount of the tread portion of the tire are obtained as the tire deformation amount.
- the contact length during rolling of the tire can also be accurately calculated using these deformation amounts.
- FIGS. 7 (a) and 7 (b) are graphs showing an example of the deformation trajectory of the inner peripheral surface of the tread portion obtained by using the tire deformation amount calculation method of the present invention. It shows the amount of tire deformation calculated using acceleration and acceleration in the tire circumferential direction.
- the acceleration is data measured by attaching an acceleration sensor to the center portion of the inner peripheral surface of the tread portion.
- the example in Fig. 7 (a) is for tire size 205Z70R15 95H, rolling speed 60 (at kmZ), air pressure 200 (kPa), and load 4 (kN).
- the example in Fig. 7 (b) is the condition of tire size 205Z70R1 5 95H, rolling speed 40 (kmZ), air pressure 200 (kPa) and slip angle 0. From Figs. 7 (a) and 7 (b), it can be seen that the deformed shape changes as the slip angle changes and as the load changes.
- FIGS. 8 (a) and 8 (b) are graphs showing an example of the deformation trajectory of the inner peripheral surface of the tread part obtained by using the tire deformation amount calculation method of the present invention.
- the amount of deformation in the circumferential direction and the amount of deformation in the width direction of the tire calculated using the acceleration in the width direction are shown.
- the example in Fig. 8 (a) is for tire size 205Z70R15 95H, rolling speed 60 (kmZ), air pressure 200 (kPa), load 4 (kN).
- the example in Fig. 8 (b) is the condition of tire size 205Z70R1 5 95H, rolling speed 40 (kmZ), air pressure 200 (kPa) and slip angle 0.
- FIG. 8 (a) it can be seen that the tire is deformed on the cereal side (left side in Fig. 8 (a)) by applying the slip angle.
- FIG. 8 (b) it can be seen that as the load increases, the amount of deformation in the tire circumferential direction and the width direction increases, and the tread portion of the tire is deformed to the cereal side in the tire width direction.
- the deformation amount of the tread portion of the tire can be calculated in any of the radial direction, the circumferential direction, and the width direction, and the deformed shape and locus of the rolling tire can be obtained. be able to.
- the present invention by providing a plurality of acceleration sensors on the inner circumference of the tread portion on the tire circumference, measurement points on the circumference of the tread portion can be acquired simultaneously.
- multiple acceleration sensors are provided in the width direction of the tire so that the contact length in the width direction and the contact area By obtaining the distribution, the ground contact shape of the rolling tire can be obtained.
- the acceleration measurement data acquired by the present invention may be measurement data obtained by an acceleration sensor embedded in the tire, as well as measurement data obtained by an acceleration sensor attached to the inner peripheral surface of the tread portion.
- the amount of deformation of the tire when rolling on the road surface can be calculated using measurement data of acceleration at a predetermined portion of the tire, for example, a tread portion.
- a predetermined portion of the tire for example, a tread portion.
Abstract
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Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
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EP05809210.7A EP1813930B1 (en) | 2004-11-19 | 2005-11-21 | Tire deformation calculating method and tire deformation calculating apparatus |
US10/594,207 US7370523B2 (en) | 2004-11-19 | 2005-11-21 | Tire deformation calculating method and tire deformation calculating apparatus |
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JP2004335417A JP3895347B2 (ja) | 2004-11-19 | 2004-11-19 | タイヤ変形量算出方法及びタイヤ変形量算出装置 |
JP2004-335417 | 2004-11-19 |
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JP2015505366A (ja) * | 2011-12-29 | 2015-02-19 | コンパニー ゼネラール デ エタブリッスマン ミシュラン | タイヤの対撓み領域における圧電測定からタイヤの均等性パラメータを決定するシステムおよび方法 |
CN114001703A (zh) * | 2021-10-09 | 2022-02-01 | 四川轻化工大学 | 一种滑坡变形数据实时过滤方法 |
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US7429801B2 (en) * | 2002-05-10 | 2008-09-30 | Michelin Richerche Et Technique S.A. | System and method for generating electric power from a rotating tire's mechanical energy |
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Also Published As
Publication number | Publication date |
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EP1813930A1 (en) | 2007-08-01 |
US20070213953A1 (en) | 2007-09-13 |
JP2006145366A (ja) | 2006-06-08 |
JP3895347B2 (ja) | 2007-03-22 |
EP1813930A4 (en) | 2010-01-20 |
EP1813930B1 (en) | 2013-09-25 |
US7370523B2 (en) | 2008-05-13 |
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