CN110567394A - tire road contact envelope contour determination method based on impression method - Google Patents

tire road contact envelope contour determination method based on impression method Download PDF

Info

Publication number
CN110567394A
CN110567394A CN201910831034.8A CN201910831034A CN110567394A CN 110567394 A CN110567394 A CN 110567394A CN 201910831034 A CN201910831034 A CN 201910831034A CN 110567394 A CN110567394 A CN 110567394A
Authority
CN
China
Prior art keywords
contour
envelope
texture
road
contact
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201910831034.8A
Other languages
Chinese (zh)
Inventor
周兴林
杨艳梅
冉茂平
严园
肖神清
邹兰林
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Wuhan University of Science and Engineering WUSE
Wuhan University of Science and Technology WHUST
Original Assignee
Wuhan University of Science and Engineering WUSE
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Wuhan University of Science and Engineering WUSE filed Critical Wuhan University of Science and Engineering WUSE
Priority to CN201910831034.8A priority Critical patent/CN110567394A/en
Publication of CN110567394A publication Critical patent/CN110567394A/en
Pending legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00—Measuring arrangements characterised by the use of optical techniques
    • G01B11/24—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N19/00—Investigating materials by mechanical methods
    • G01N19/02—Measuring coefficient of friction between materials

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Automation & Control Theory (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Image Analysis (AREA)

Abstract

The invention discloses a tire road contact envelope contour determining method based on a footprint method. The problem that the envelope contour is not consistent with the actual envelope condition due to unnecessary oscillation during cubic spline interpolation calculation is solved. The road surface texture characteristic parameter MPD corresponding to the envelope contour calculated by the method has good correlation with the original contour, and the correlation between the impression envelope contour MPD and the rolling resistance coefficient is improved to a certain extent compared with the original contour MPD.

Description

tire road contact envelope contour determination method based on impression method
Technical Field
The invention belongs to the field of road engineering detection and monitoring, and particularly relates to a method for detecting road surface contact performance.
Background
The tire is made of rubber material with elastic characteristics, the shape of the tire is similar to a cylinder, and if the tire is kept completely undeformed, the contact interface of the rubber tread of the tire and a smooth and dry road surface is a line. However, the rubber tread of a tire is not a completely elastic material, and when the tire is actually in contact with the road surface, the tire is not in close and complete contact with the road surface, and particularly, when the road surface has deep irregular sharp valleys (such as porous asphalt pavement) or deep regular grooves (such as transverse grooved concrete pavement), the incomplete contact phenomenon is more prominent. In fact, the tire road contact process mainly comprises deformation of tire rubber enveloping road surface structure peaks and deformation of rubber between road surface structure sharp valleys. The contact characteristic of the tire road plays an important role in the whole response research of asphalt concrete, is a key role in influencing the skid resistance of the road surface, can research the rolling resistance of the tire road according to the key role, and provides a certain basis for the performance comparison of the tire and the road surface. And the contact profile (envelope profile) of the tire and the road surface can effectively represent the contact characteristic of the tire and the road surface, so that a reasonable and effective envelope profile calculation method is sought, and the method has important guiding significance for accurately representing the research of road surface texture and rolling resistance.
At present, the practical contact between a tire and a road surface is researched by establishing a contact model between rough surfaces by adopting different methods by multiple scholars, a physical model such as a Clapp model or a Hamet-Klein model is generally adopted to calculate the envelope contour of the contact between the tire and the road surface, but the contact between the tire tread and the road surface texture is simulated into single contact between a rigid body and a semi-infinite elastomer by the physical model, the viscoelastic property of the rigid body and asphalt concrete is not consistent, and meanwhile, the actual contact mode between the single contact and the tire road is different, so that the subsequent tire road contact parameters are not accurately obtained.
Disclosure of Invention
In order to solve the above technical problems, the present invention provides a tire road contact envelope contour determining method based on a footprint method, which can truly and effectively characterize the tire road contact characteristics, and ensure that the obtained tire road contact parameters are close to the actual contact state between the tire and the road surface.
In order to solve the technical problems, the technical scheme of the invention is as follows:
a method for determining a tire road contact envelope contour based on a footprint method is characterized by comprising the following steps:
Step S1: obtaining the impression type contact area S of the top of the rubber tread of the tire in the unit of mm in contact with the road surface2The deformation of the tread between the sharp valleys of the road surface texture is smooth;
Step S2: then measuring the surface textures P of different road surfaces, and segmenting the initial texture profiles of the obtained surface textures to obtain a plurality of initial texture profiles Pn；
Step S3: multiple initial texture contours Pnobtaining a corrected texture contour P 'by performing tilt correction'n；
step S4: from the corrected texture Profile P'nSetting a horizontal line h corresponding to the maximum elevation value;
Step S5: calculating an area A enclosed by a curve formed by correcting the texture contour and a horizontal line;
step S6: for each corrected texture profile P'noperation is carried out until A is larger than or equal to S, and the corrected texture contour P 'is reserved'nPoint z having a medium elevation value greater than or equal to the elevation of the plotted horizontal lineiH > h and mark it as a blob, texture profile P 'will be corrected'nPoint z with a medium height value less than the height of the horizontal line to be drawni< h is marked as interpolation point;
Step S7: and finally, carrying out interpolation calculation by using a cubic difference method to obtain an envelope contour of the tire in contact with the pavement impression.
Further, when the impression type contact area S of the top of the tire rubber tread in contact with the road surface is obtained in the step S1, a visual simulation experiment is carried out on a test road section by using plastic plasticine and a triangular groove plate, a plurality of triangular grooves with triangular sections are arranged on the triangular groove plate at intervals in parallel, the plasticine covers the triangular groove plate, the triangular grooves are used for simulating uneven areas of the road surface, and the triangular grooves form rolling deformation sections after being rolled by wheels; when the tire road is contacted, the automobile tire rolls plasticine to fill the triangular groove; the plasticine fill profile is measured using a laser profilometer.
Further, step S1 is to calculate a correlation coefficient between the measured plasticine profile and the envelope profile theoretically obtained by taking different S values according to the type of the test tire and the test speed, and to select the footprint contact area S when the correlation coefficient is the maximum.
Further, in step S2, the two-dimensional surface texture of m road segments is measured by using the road texture testing vehicle, m is a natural number, and the initial profile p of the obtained surface texture is (x)i，Zi) Carrying out equal segmentation to obtain a plurality of initial texture contours Pn；xiabscissa, Z, of all the discrete points of the initial profile piIn order to eliminate the elevation values of all discrete points of the initial profile p before the tilt and offset errors are eliminated, i is 0, 1.
further, the corrected texture profile P 'after the inclination and offset correction is performed in step S3'n＝(xi，zi) Wherein, in the step (A),
zi＝Zi-b1i-b0，i＝0，1，...，N-1 (1)
ziThe elevation value of the corrected texture contour after the inclination and offset errors are eliminated, and N is a discrete data point contained in the corrected contour;
Slope correction factor b1and offset correction coefficient b0Respectively as follows:
Further, the corrected texture profile P 'processed in the step S3 is obtained in the step S4'ncorresponding maximum elevation zmAt a maximum elevation value zmsetting a height h ═ zmA horizontal line of k, k ≧ 0, the initial value of k taken to be 0.
further, when the magnitude relationship between A and S is judged in step S6, if A < S, the relationship will beThe k value is increased by one step to set the step length, and the step S4 is returned; keeping the corrected texture contour P 'processed in the step S3 until A is more than or equal to S'nThe point where the middle elevation value is greater than or equal to the elevation of the horizontal line obtained in step S4, i.e., ziH or more, and marking the mark as a retention point; the corrected texture profile P 'processed in step S3'nThe point where the middle height value is smaller than the height of the horizontal line obtained in step S4, i.e. ziH, marking as an interpolation point; the steps S3 to S6 are repeated to process the next initial texture contour until all segmented initial texture contours are processed.
Further, step S7 is as follows: returning to step S2, the road table texture initial contour p, p ═ xi，Zi) Making the envelope contour elevation Z of all the reserved points after the judgment of the step S6i，envEqual to the initial profile elevation, i.e. Zi，env＝Zi(ii) a For all interpolation points, according to the envelope contour elevation value Zi，envThe elevation values Z of two adjacent retention pointsiPerforming interpolation calculation, connecting the interpolation point with adjacent reserved points by using smooth lines to obtain envelope contours (x) calculated by different interpolation methodsi，Zi，env) (ii) a And selecting a linear interpolation method, a cubic spline interpolation method and a cubic interpolation method to perform interpolation calculation, comparing and analyzing envelope contours of different interpolation methods in the step, calculating texture characteristic parameters MPD corresponding to the envelope contours of different interpolation methods, analyzing the relation between the texture characteristic parameters MPD and an initial contour, and finally determining to apply a cubic difference method to perform interpolation calculation to obtain an envelope contour of the tire in contact with the pavement impression.
The step S7 of determining the envelope contour of the tire in contact with the road surface footprint by applying the cubic difference method to perform interpolation calculation includes the following detailed steps:
Step S8: comparing the envelope contours of different interpolation methods calculated in the analysis step S7, wherein the envelope contour of the cubic spline interpolation method brings unnecessary oscillation due to a smooth curve, and particularly when S is small, the envelope contour does not accord with the actual envelope situation, the envelope contour calculated by the cubic interpolation method does not generate unnecessary oscillation, and meanwhile, the envelope contour is smoother than the contour calculated by the linear interpolation method;
Step S9: calculating texture feature parameters MPD corresponding to the envelope contours of different interpolation methods obtained in the step S7, and analyzing the relation between the texture feature parameters MPD and the initial contours MPD, wherein the correlation between the MPD value of the 'pchip' envelope contour MPD and the MPD values of the initial contours MPD, the 'spline' envelope contour and the 'linear' envelope contour MPD is good; therefore, when the envelope contour is calculated by the impression method, a cubic interpolation method 'pchip' is selected for interpolation calculation;
Step S10: and calculating the footprint envelope contours of the m test road sections and corresponding texture characteristic parameters MPD and rolling resistance coefficients by using MATLAB.
Therefore, the invention discloses a tire road contact envelope contour determination method based on a footprint method, which characterizes tire road contact characteristics according to an envelope contour, and firstly assumes that the contact of a tire and a road surface is a footprint-type contact of a top part, and the contact area is Smm2The deformation of the tread between the sharp valleys of the road surface texture is smooth, then the surface texture of different road surfaces is measured by adopting a road surface texture testing vehicle, the initial contour of the obtained texture is evenly divided, and a plurality of initial texture contours P are obtainednInclination correction is carried out to obtain P'n(ii) a According to profile P'nSetting a horizontal line h corresponding to the maximum elevation value, and calculating an area A enclosed by the contour curve and the horizontal line; forward operation is carried out on each correction contour until A is larger than or equal to S, and texture contour P 'is reserved'nPoints (z) having a medium elevation value greater than or equal to the elevation of the plotted horizontal lineiH) and mark it as a blob, texture profile P'nPoint (z) where the value of the mid-height is less than the height of the horizontal line drawni< h) the marker is an interpolation point; and finally, carrying out interpolation calculation by using a cubic difference method to obtain the envelope contour of the tire and the road surface. The problem that the envelope contour is not consistent with the actual envelope condition due to unnecessary oscillation during cubic spline interpolation calculation is solved. The road surface texture characteristic parameter MPD corresponding to the envelope contour calculated by the method has good correlation with the original contour, and the correlation between the impression envelope contour MPD and the rolling resistance coefficient is improved to a certain extent compared with the original contour MPD. Overcomes the defects that the viscoelastic characteristics of the rigid body and the asphalt concrete are not accordant in the existing profile model, and the true contact mode of single contact and tire road existsA defect in the difference.
Drawings
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a schematic structural diagram of a visual simulation model of the imprinting method of the present invention;
FIG. 3 is a comparison diagram of MPD corresponding to envelope contours and MPD corresponding to initial contours calculated by different interpolation methods according to the present invention;
FIG. 4 is a graph showing the correlation between MPD and original MPD profile according to the interpolation method of the present invention;
FIG. 5 is a comparison of MPD values corresponding to different envelope profiles according to the present invention; (a) a 'pchip' envelope profile and a 'spline' envelope profile; (b) a 'pchip' envelope profile and a 'linear' envelope profile.
FIG. 6 is a graph of the relationship between MPD and rolling resistance coefficient for an initial profile according to the present invention;
FIG. 7 is a graph showing the relationship between MPD and rolling resistance of the footprint envelope profile of the present invention.
Detailed Description
The principles and features of this invention are described below in conjunction with the following drawings, which are set forth by way of illustration only and are not intended to limit the scope of the invention.
The embodiment provides a tire road contact characteristic characterization method based on a footprint method, which comprises the following steps:
Step S1: assuming that the contact of the tire 1 with the road surface 2 is a footprint-type contact of the top portion, the contact area S thereof is determined according to the test tire type and the test speed. As shown in fig. 2, a visual simulation experiment is carried out on a test road section by using plastic plasticine 3 and a wooden triangular groove plate 4, a plurality of triangular grooves 5 with triangular sections at intervals in parallel are arranged on the triangular groove plate 4, the plasticine 3 covers the triangular groove plate 4, the triangular grooves 5 are used for simulating uneven areas of a road surface, the triangular grooves 5 form rolling deformation sections after being rolled by wheels, and the section area of each triangular groove is about 0.3 multiplied by 0.3 square meter of the simulated road surface; when the tire road contacts with the automobile tire, the automobile tire 1 rolls the plasticine 3 to fill the triangular groove 5; and measuring the plasticine filling profile by using a laser profiler so as to obtain the contact area.
Calculating correlation coefficient of the actually measured plasticine profile and the profile obtained by theoretically calculating different S values, and selecting the S value when the correlation coefficient is maximum to be 10mm2。
Step S2: measuring two-dimensional surface textures of 13 road sections by adopting a road texture testing vehicle, and calculating an initial contour p (x ═ of the obtained texture)i，Zi) MPD) and the initial contour p is equally divided by an equal division length L of 90 mm. After the equal division, a plurality of initial texture contours P are obtainedn(n＝1，2，3.....)；
Step S3: the following method is adopted for the initial texture contour P in the step S2nAnd performing tilt correction to eliminate tilt and offset errors of the initial profile. Texture contour P 'after inclination and offset correction'n＝(xi，zi) And (4) showing.
zi＝Zi-b1i-b0，i＝0，1，...，N-1 (1)
ZiAnd ziElevation values of the profile before and after the tilt and offset error elimination, respectively, and N is a discrete data point included in the corrected profile. Slope correction factor b1And offset correction coefficient b0The calculation formulas are respectively as follows:
step S4: according to the profile P 'processed by the step S3'nCorresponding maximum elevation zmSetting a height h ═ zm-k (k ≧ 0) horizontal line, the initial value of k taking 0;
step S5: calculating the contour P 'processed by step S3'nThe area enclosed by the horizontal line h in step S4 is denoted by a. And judging the size relationship between A and S. If A<S, increasing the k value by one step (the step length of the k value can be 0.01mm), and returning to the step 4;
Step S6: until A is more than or equal to S, the menstrual step is retainedTexture contour P 'processed in step S3'na point (z) at which the middle elevation value is greater than or equal to the elevation of the horizontal line obtained in step S4ih) or more, and marking the mark as a retention point; the texture profile P 'processed by the step S3'nA point (z) where the middle height value is smaller than the horizontal line height obtained in step S4i< h) the marker is an interpolation point; repeating steps S3-S6 to process the next initial texture contour until all segmented initial texture contours are processed;
step S7: return to step S2 is made to the road table texture initial contour p (p ═ x)i，Zi) For all the remaining points i judged in the step S6, the envelope contour elevation Z is adjustedi，envEqual to the initial profile elevation, i.e. Zi，env＝Zi(ii) a For all interpolation points, the envelope profile elevation value Zi，envAccording to the elevation Z of the two adjacent reserved pointsiPerforming interpolation calculation, connecting the interpolation point with adjacent reserved points by using a smooth line as much as possible, and performing interpolation calculation by selecting a linear interpolation method ('linear'), a cubic spline interpolation method ('spline') and a cubic interpolation method ('pchip') to obtain envelope profiles (x) calculated by different interpolation methodsi，Zi，env) The envelope profile is shown in fig. 3.
The method for determining the interpolation calculation by applying the cubic difference method to obtain the envelope contour of the tire in contact with the pavement impression comprises the following detailed steps:
Step S8: comparing the envelope contours of different interpolation methods calculated in the analysis step S7, the envelope contour of the cubic spline interpolation method brings unnecessary oscillation (especially when S is small) due to the smooth curve, so that the envelope contour does not conform to the actual envelope situation, and the envelope contour calculated by the cubic interpolation method does not generate unnecessary oscillation and is smoother than the contour calculated by the linear interpolation method.
Step S9: and calculating the texture feature parameter MPD corresponding to the different interpolation envelope profiles obtained in step S7, wherein the correlations between the MPD of the different interpolation envelope profiles and the original profile MPD are shown in fig. 4, the correlations between MPD values of the different interpolation envelope profiles are shown in fig. 5, and after analyzing fig. 4 and 5, the correlations between the MPD value of the 'pchip' envelope profile and the original profile MPD, the 'spline' envelope profile and the 'linear' envelope profile MPD value are good, the correlations between the MPD value of the 'pchip' envelope profile and the original profile MPD value are up to 98%, and the texture feature parameter MPD of the road surface can be calculated by using the envelope profile calculated by the impression method. Therefore, cubic interpolation ('pchip') should be used for interpolation when envelope contour is calculated by the imprinting method.
Step S10: the rolling resistance of 13 test sections was measured using a trailer, and the R using a TUG was measured2MK.2 trailer, measuring 80km/h, using a light truck reference tire SRTT (indicated by P1 profile) for the measured tire, with a tire pressure of 210kPa and an axle load of 408 kg.
step S11: and calculating the mark printing method envelope contours of the 13 test road sections and corresponding texture characteristic parameters MPD and rolling resistance coefficients by using MATLAB, and analyzing the relationship between the rolling resistance coefficients and the mark printing method envelope contours and the initial envelope contours MPD, wherein the relationship graphs are respectively shown in fig. 6 and fig. 7, and the correlation coefficients of the rolling resistance coefficients and the mark printing method MPD are found to be improved to a certain extent.

Claims (9)

1. a method for determining a tire road contact envelope contour based on a footprint method is characterized by comprising the following steps:
Step S1: obtaining the impression type contact area S of the top of the rubber tread of the tire in the unit of mm in contact with the road surface2The deformation of the tread between the sharp valleys of the road surface texture is smooth;
step S2: then measuring the surface textures P of different road surfaces, and segmenting the initial texture profiles of the obtained surface textures to obtain a plurality of initial texture profiles Pn；
Step S3: multiple initial texture contours PnObtaining a corrected texture contour P 'by performing tilt correction'n；
step S4: from the corrected texture Profile P'nSetting a horizontal line h corresponding to the maximum elevation value;
Step S5: calculating an area A enclosed by a curve formed by correcting the texture contour and a horizontal line;
Step S6: for each corrected texture profile P'nIs operated toUntil A is more than or equal to S, keeping the corrected texture contour P'npoint z having a medium elevation value greater than or equal to the elevation of the plotted horizontal lineiH > h and mark it as a blob, texture profile P 'will be corrected'nPoint z with a medium height value less than the height of the horizontal line to be drawni< h is marked as interpolation point;
Step S7: and finally, carrying out interpolation calculation by using a cubic difference method to obtain an envelope contour of the tire in contact with the pavement impression.
2. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: step S1, when a impression type contact area S of the top of a tire rubber tread in contact with a road surface is obtained, a visual simulation experiment is carried out on a test road section by using plastic plasticine and a triangular groove plate, a plurality of triangular grooves with triangular sections are arranged on the triangular groove plate at intervals in parallel, the plasticine covers the triangular groove plate, the triangular grooves are used for simulating an uneven area of the road surface, and the triangular grooves form rolling deformation sections after being rolled by wheels; when the tire road is contacted, the automobile tire rolls plasticine to fill the triangular groove; the plasticine fill profile is measured using a laser profilometer.
3. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: step S1, according to the type and speed of the tested tyre, calculating the correlation coefficient between the measured plasticine contour and the envelope contour theoretically obtained by taking different S values, and selecting the impression type contact area S when the correlation coefficient is maximum.
4. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: step S2 measures two-dimensional surface textures of m road segments using a road texture test vehicle, where m is a natural number, and the initial profile p of the obtained surface texture is (x)i，Zi) Carrying out equal segmentation to obtain a plurality of initial texture contours Pn；xiAbscissa, Z, of all the discrete points of the initial profile piTo be inclined and inclinedThe elevation values i of all discrete points of the initial profile p before the error is eliminated are 0, 1,.., N-1, and N is the discrete data points included in the correction profile.
5. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: the corrected texture profile P 'after the tilt and offset correction in step S3'n＝(xi，zi) Wherein, in the step (A),
zi＝Zi-b1i-b0，i＝0，1，...，N-1 (1)
ziThe elevation value of the corrected texture contour after the inclination and offset errors are eliminated, and N is a discrete data point contained in the corrected contour;
Slope correction factor b1And offset correction coefficient b0respectively as follows:
6. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: the corrected texture profile P 'processed in step S3 is obtained in step S4'nCorresponding maximum elevation zmAt a maximum elevation value zmSetting a height h ═ zmA horizontal line of k, k ≧ 0, the initial value of k taken to be 0.
7. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: when the magnitude relationship between A and S is judged in step S6, if A is in the size relationship<S, increasing the k value by one step to set a step length, and returning to the step S4; keeping the corrected texture contour P 'processed in the step S3 until A is more than or equal to S'nThe middle height value is greater than or equal to the value obtained in the step S4points of horizontal line elevation, i.e. ziH or more, and marking the mark as a retention point; the corrected texture profile P 'processed in step S3'nThe point where the middle height value is smaller than the height of the horizontal line obtained in step S4, i.e. ziH, marking as an interpolation point; the steps S3 to S6 are repeated to process the next initial texture contour until all segmented initial texture contours are processed.
8. The footprint-based tire road-contact envelope contour determination method of claim 1, wherein: step S7 requires returning to step S2 to the initial road table texture contour p, p ═ xi，Zi) Making the envelope contour elevation Z of all the reserved points after the judgment of the step S6i，envEqual to the initial profile elevation, i.e. Zi，env＝Zi(ii) a For all interpolation points, according to the envelope contour elevation value Zi，envThe elevation values Z of two adjacent retention pointsiPerforming interpolation calculation, connecting the interpolation point with adjacent reserved points by using smooth lines to obtain envelope contours (x) calculated by different interpolation methodsi,Zi，env) (ii) a And selecting a linear interpolation method, a cubic spline interpolation method and a cubic interpolation method to perform interpolation calculation, comparing and analyzing envelope contours of different interpolation methods in the step, calculating texture characteristic parameters MPD corresponding to the envelope contours of different interpolation methods, analyzing the relation between the texture characteristic parameters MPD and an initial contour, and finally determining to apply a cubic difference method to perform interpolation calculation to obtain an envelope contour of the tire in contact with the pavement impression.
9. The footprint-contact-envelope-contour-determination method according to claim 1 or 8, characterized in that: the step S7 of determining the envelope contour of the tire in contact with the road surface footprint by applying the cubic difference method to perform interpolation calculation includes the following detailed steps:
Step S8: comparing the envelope contours of different interpolation methods calculated in the analysis step S7, wherein the envelope contour of the cubic spline interpolation method brings unnecessary oscillation due to a smooth curve, and particularly when S is small, the envelope contour does not accord with the actual envelope situation, the envelope contour calculated by the cubic interpolation method does not generate unnecessary oscillation, and meanwhile, the envelope contour is smoother than the contour calculated by the linear interpolation method;
step S9: calculating texture feature parameters MPD corresponding to the envelope contours of different interpolation methods obtained in the step S7, and analyzing the relation between the texture feature parameters MPD and the initial contours MPD, wherein the correlation between the MPD value of the 'pchip' envelope contour MPD and the MPD values of the initial contours MPD, the 'spline' envelope contour and the 'linear' envelope contour MPD is good; therefore, when the envelope contour is calculated by the impression method, a cubic interpolation method 'pchip' is selected for interpolation calculation;
Step S10: and calculating the footprint envelope contours of the m test road sections and corresponding texture characteristic parameters MPD and rolling resistance coefficients by using MATLAB.
CN201910831034.8A 2019-09-04 2019-09-04 tire road contact envelope contour determination method based on impression method Pending CN110567394A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201910831034.8A CN110567394A (en) 2019-09-04 2019-09-04 tire road contact envelope contour determination method based on impression method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201910831034.8A CN110567394A (en) 2019-09-04 2019-09-04 tire road contact envelope contour determination method based on impression method

Publications (1)

Publication Number Publication Date
CN110567394A true CN110567394A (en) 2019-12-13

Family

ID=68777658

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201910831034.8A Pending CN110567394A (en) 2019-09-04 2019-09-04 tire road contact envelope contour determination method based on impression method

Country Status (1)

Country Link
CN (1) CN110567394A (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111257141A (en) * 2020-02-28 2020-06-09 广州大学 Device and method for testing shear fatigue performance of asphalt
CN112270022A (en) * 2020-09-30 2021-01-26 淮阴工学院 Friction mechanics modeling method based on rubber-rough surface contact
CN113447503A (en) * 2021-06-28 2021-09-28 哈尔滨工业大学 Road surface and rubber contact area measuring method and system based on X-ray CT scanning image

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2003014617A (en) * 2001-07-02 2003-01-15 Yokohama Rubber Co Ltd:The Slide friction force-measuring apparatus
CN1643361A (en) * 2002-02-08 2005-07-20 因诺韦普有限公司 Method and device for determination of the wear resistance of a surface
CN103403518A (en) * 2011-01-26 2013-11-20 普利司通美国轮胎运营有限责任公司 Engineered surfaces for laboratory tread wear testing of tires
CN108801659A (en) * 2018-03-14 2018-11-13 江苏大学 A kind of ground connection parameter extracting method of characterization tire water skiing and noiseproof feature

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2003014617A (en) * 2001-07-02 2003-01-15 Yokohama Rubber Co Ltd:The Slide friction force-measuring apparatus
CN1643361A (en) * 2002-02-08 2005-07-20 因诺韦普有限公司 Method and device for determination of the wear resistance of a surface
CN103403518A (en) * 2011-01-26 2013-11-20 普利司通美国轮胎运营有限责任公司 Engineered surfaces for laboratory tread wear testing of tires
CN108801659A (en) * 2018-03-14 2018-11-13 江苏大学 A kind of ground connection parameter extracting method of characterization tire water skiing and noiseproof feature

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
GOTTAUT C. ET AL.: "《ROSANNE deliverable D4.2,2016.(http://www.rosanne-project.eu/documents?id=7296)》", 23 December 2016 *
佚名: "《ISO/TS 13473-4》", 31 December 2008 *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111257141A (en) * 2020-02-28 2020-06-09 广州大学 Device and method for testing shear fatigue performance of asphalt
CN112270022A (en) * 2020-09-30 2021-01-26 淮阴工学院 Friction mechanics modeling method based on rubber-rough surface contact
CN113447503A (en) * 2021-06-28 2021-09-28 哈尔滨工业大学 Road surface and rubber contact area measuring method and system based on X-ray CT scanning image
CN113447503B (en) * 2021-06-28 2022-04-26 哈尔滨工业大学 Road surface and rubber contact area measuring method and system based on X-ray CT scanning image

Similar Documents

Publication Publication Date Title
CN110567394A (en) tire road contact envelope contour determination method based on impression method
CN108664715B (en) Three-dimensional evaluation and driving safety analysis method for accumulated water ruts on road surface
CN105224711B (en) Method and system for evaluating wear of axially divided tread regions of a tire
JP5515779B2 (en) Method for predicting physical quantity that tire contact surface receives from road surface, method for predicting tire wear, tire wear prediction device, and program
JP5098711B2 (en) Tire model creation method and tire model creation computer program
CN112818563B (en) Pavement skid resistance evaluation method based on friction contact surface estimation
CN104749095A (en) Tire and pavement contact pressure characteristic-based pavement skid resistance condition evaluation method
AU750560B2 (en) Vehicle wheel alignment adjustment method
CN111985559A (en) Tire pattern structure similarity detection method based on boundary characteristics
Wright et al. Effects of age and wear on the stiffness and friction properties of an SUV tyre
Moazami et al. Effect of tire footprint area in pavement response studies
CN111764208A (en) Steel rail grinding profile rapid prediction method based on interval segmentation
CN1977156A (en) System for estimating the maximum adherence coefficient by measuring stresses in a tyre tread
KR100726999B1 (en) Prediction method of cornering hydroplaning performance
JP2005271661A (en) Simulation method for tire
US10377194B2 (en) Method of modeling tire performance
CN114324143B (en) Measuring method for three-dimensional shape characteristic index of asphalt pavement texture
JP2000289417A (en) Developing device and developing method for vehicle tire
CN112557065B (en) Tire braking performance multidimensional verification method and system
Cesbron et al. Influence of road texture on tyre/road contact in static conditions: Numerical and experimental comparison
CN109708903A (en) A kind of tire drag coefficient measuring method, system and device
WO2009080409A1 (en) A method and a device for checking a vehicle efficiency
CN106163779B (en) Releasability prediction model
Rajaei et al. Mechanistic modeling of macro-texture’s effect on rolling resistance
CN106556335A (en) A kind of tire ground connection dimension measurement method and system

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
RJ01 Rejection of invention patent application after publication

Application publication date: 20191213

RJ01 Rejection of invention patent application after publication