CN114492131A - Method, device, medium, and program for calculating sinking amount of truck tire - Google Patents

Method, device, medium, and program for calculating sinking amount of truck tire Download PDF

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CN114492131A
CN114492131A CN202210092090.6A CN202210092090A CN114492131A CN 114492131 A CN114492131 A CN 114492131A CN 202210092090 A CN202210092090 A CN 202210092090A CN 114492131 A CN114492131 A CN 114492131A
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tire
calculating
sinking amount
tires
formula
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侯丹丹
王建兵
吕微雅
徐晓鹏
高翔
黄继文
王昱壮
邸晶
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Zhongce Rubber Group Co Ltd
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    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/20—Finite element generation, e.g. wire-frame surface description, tesselation
    • G06T17/205—Re-meshing
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces

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Abstract

The present invention relates to the field of tires, and in particular, to a method, an apparatus, a medium, and a program for calculating a sinking amount of a truck tire. The method comprises the steps of finite element meshing, material attribute endowment, two-dimensional model establishment, three-dimensional model establishment and data processing; the method comprises the steps of establishing a finite element model, calculating the subsidence of the finite element model, and providing a formula for calculating the subsidence; so as to accurately calculate the sinking amount of the tire under the standard pressure and standard load condition and the sinking amount of the tire under the non-standard pressure and standard load condition.

Description

Method, device, medium, and program for calculating sinking amount of truck tire
Technical Field
The present invention relates to the field of tires, and in particular, to a method, an apparatus, a medium, and a program for calculating a sinking amount of a truck tire.
Background
The amount of subsidence is the radial deformation of the tire under load, which reflects primarily the cushioning properties of the tire and affects the delamination damage early in the life of the tire. An excessively small amount of sinking of the tire, i.e., a small radial deformation thereof, indicates that the elasticity of the tire is small, affecting the ride comfort of the vehicle. Excessive tire deflection means that the tire will have a short useful life if it is operated under high deformation conditions. Accurately predicting the subsidence of the tire has great reference value on the research and development of the product performance of the tire and the structural design of the tire.
Many current formulas for calculating the amount of subsidence, such as formula (1) provided in book "tire theory and technology" published in 2013, are accurate for the prediction calculation of the amount of subsidence under the standard pressure standard load condition, but the more the tire usage condition deviates from the standard pressure standard load, the larger the deviation between the calculated value and the actual value of the amount of subsidence is. In summary, it is very necessary to provide a calculation method capable of more accurately calculating and predicting the subsidence of a tire under the non-standard pressure marking condition
Figure BDA0003489582280000011
In the formula (1), delta d is the sinking amount, mm; l is load, kg; p is tire inflation pressure, kPa; AR, SN, DR are all parameters related to tire specifications.
The prior art has the following defects: at present, most of the sinkage calculation formulas are for a tire of a specific specification, and are obtained by summarizing experience according to test values under a standard pressure and a standard load. At present, the environment and the state of the tire when being used are different due to different development directions of various regions. Therefore, not only the amount of tire sinking under the standard pressure and standard load condition needs to be calculated accurately, but also the amount of tire sinking under the non-standard pressure and standard load condition needs to be calculated.
Disclosure of Invention
The purpose of the invention is: aiming at the problems, the method provides a formula for calculating the subsidence by establishing a finite element model and calculating the subsidence; a method, apparatus, medium, and program for calculating the amount of sinking of a truck tire accurately calculates the amount of sinking of a tire under a standard-pressure standard-load condition and the amount of sinking of a tire under a non-standard-pressure standard-load condition.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for calculating the sinking amount of a truck tire comprises the following steps:
1) and (3) finite element meshing: drawing a material distribution map of the tire by using software, and carrying out finite element meshing on the whole structure of the tire in the software;
2) endowing the material with the following properties: assigning corresponding material properties to each rubber unit and carcass reinforcement material according to actual test conditions of the tire material; using the skeletal material elements to represent the reinforcement of the reinforcement material;
3) establishing a two-dimensional model: setting a boundary condition of a tire model, setting contact surface properties and friction coefficients of a rim and a tire bead part and a contact surface of a tire and the ground; then the steel wire ring is contracted to the inner side of the wheel rim; then deforming the tread, contacting the bead with the rim, and expanding the tire to an equilibrium state;
4) establishing a three-dimensional model: establishing a three-dimensional tire simulation model through a two-dimensional model; setting a road surface model and contact properties of the tire surface and the road surface to align the center line of the tire with the center line of the road surface; applying corresponding load to the road surface, wherein the direction is vertical to the contact surface of the tire and the ground, so that the road surface is contacted with the tire, and the tire deforms;
5) data processing: extracting a plurality of groups of data points (sinkage, pressure and load) in the analysis process, namely corresponding sinkage under different load and inflation pressure conditions; substituting the data into the following tire settlement calculation formula (2) to calculate the settlement;
Δd＝a·(k)bformula (2)
Figure BDA0003489582280000021
Wherein, Delta d is the sinking amount and the unit is mm; l is load in kg; p is inflation pressure in kPa; AR, Sn, Dr are all parameters related to tire specifications; a. b is the relevant parameter of formula (2); c. d, e, f and g are parameters obtained by correcting the formula (1).
Preferably, in step 1), the material profile of the tire is drawn using AutoCAD software.
Preferably, in step 1), the whole structure of the tire is divided into quadrilateral or triangular units, and all the units have the axial symmetry property.
Preferably, the step 3) of setting the boundary condition of the tire model includes setting the surface of the inner liner layer as a surface on which the inflation load acts.
Preferably, in step 3), the corresponding rim curve is selected, and then the bead ring is contracted to the inner side of the rim by applying a certain force to the bead ring.
Preferably, in step 3), the tire is expanded to an equilibrium state by setting the inflation pressure to be directed perpendicular to the inner surface element of the inner liner, deforming the tread, bringing the bead into contact with the rim.
Preferably, in step 4), the two-dimensional model is rotated 360 degrees to form a three-dimensional tire simulation model.
In addition, the invention also discloses computer equipment which comprises a memory, a processor and a computer program stored on the memory, wherein the processor executes the computer program to realize the step 5) of the calculation method of the sinking amount of the truck tire.
In addition, the invention also discloses a computer readable storage medium, wherein a computer program or instructions are stored on the computer readable storage medium, and when the computer program or instructions are executed by a processor, the step 5) of the calculation method for the sinking amount of the truck tire is realized.
In addition, the invention also discloses a computer program product, which comprises a computer program or instructions, and the computer program or instructions are executed by a processor to realize the step 5) of the calculation method of the sinking amount of the truck tire.
The method, the equipment, the medium and the program for calculating the sinking amount of the truck tire adopting the technical scheme have the advantages that:
and (3) calculating the corresponding inflation pressure and the sinking amount under the load in the step 6) according to the formula (1) and the formula (2), and comparing and analyzing the calculated values with the test values. The calculation results of formula (1) are shown in table 2, the calculation results of formula (2) are shown in table 3, and the comparative analysis results of the difference ratios are shown in fig. 3. The calculation result shows that the theoretical value of the sinkage calculated according to the formula (2) is closer to the test value, the error is smaller, and the difference ratio is closer to zero, which shows that the calculation formula (2) of the sinkage provided by the invention can calculate the sinkage of the tire with the specification more accurately. And the subsidence under different air pressures and loads with the specifications of 8.25R20, 9.00R20, 10.00R20 and 11.00R20 are respectively tested according to the method of the step 6), the theoretical value of the subsidence is calculated according to the formulas (1) and (2), and the test result and the calculation result are shown in tables 4-7. Comparing the theoretical values calculated by the two formulas with the test values, it can be seen from fig. 4-7 that the theoretical values calculated by the formula (2) are closer to the test values. The results show that the formula (2) can calculate the amount of sinking of the 20-inch heavy-duty tire series with high accuracy. Therefore, the formula not only can accurately calculate the sinking amount of the tire under the standard pressure and standard load condition, but also can calculate and predict the sinking amount of the tire under the non-standard pressure and standard load condition.
Drawings
Fig. 1 is a flowchart of a calculation method of truck tire subsidence.
FIG. 2 shows the measured and calculated values of the amount of sinking.
FIG. 3 is a difference ratio of the calculated value of the amount of sinking to the test value.
FIG. 4 shows calculated and measured values for 8.25R20 sinkage.
FIG. 5 shows calculated and measured values for 9.00R20 sinkage.
FIG. 6 shows the calculated and measured values of the 10.00R20 sinkage.
FIG. 7 shows calculated and measured values for 11.00R20 sinkage.
Detailed Description
The following describes in detail embodiments of the present invention with reference to the drawings.
Example 1
A method for calculating the sinking amount of a truck tire as shown in fig. 1, the method comprises the following steps:
1) and (3) finite element meshing: an all-steel radial tire with the specification of 12.00R20 is selected. And drawing a material distribution map of the tire by using AutoCAD software, and carrying out finite element meshing on the whole structure of the tire in the software to divide the whole structure into quadrilateral or triangular units, wherein all the units have an axisymmetric property.
2) Endowing the material with the following properties: assigning corresponding material properties to each rubber unit and carcass reinforcement material according to actual test conditions of the tire material; using the skeletal material elements to represent the reinforcement of the reinforcement material;
3) establishing a two-dimensional model: setting boundary conditions of a tire model, wherein the boundary conditions comprise setting the surface of an inner lining layer as an acting surface for applying an inflating load, setting the contact surface property and the friction coefficient of a rim and a tire bead part and setting the contact surface of a tire and the ground; then selecting a corresponding rim curve, and applying a certain force to the steel wire ring to enable the steel wire ring to be contracted to the inner side of the rim; setting inflation pressure, wherein the direction is vertical to the inner surface unit of the inner liner layer, so that the tire tread is deformed, the tire bead is in contact with the rim, and the tire is expanded to a balanced state;
4) establishing a three-dimensional model: rotating the two-dimensional model for 360 degrees to form a three-dimensional tire simulation model; setting a road surface model and contact properties of the tire surface and the road surface to align the center line of the tire with the center line of the road surface; applying corresponding load to the road surface, wherein the direction is vertical to the contact surface of the tire and the ground, so that the road surface is in contact with the tire, and the tire deforms;
5) data processing: extracting a plurality of groups of data points in the analysis process, namely the corresponding sinkage under different load and inflation pressure conditions; substituting the data into the following tire settlement calculation formula (2) to calculate the settlement;
Δd＝a·(k)bformula (2)
Figure BDA0003489582280000041
Wherein, Delta d is the sinking amount and the unit is mm; l is load in kg; p is inflation pressure in kPa; AR, Sn, Dr are parameters related to tire specifications, and when the tire specification is 12.00R20, the value of AR is 0.98, the value of Sn is 315, and the value of Dr is 508; a. b is the relevant parameter of formula (2); c. d, e, f and g are parameters obtained by correcting the formula (1), c is 0.000673, d is 0.41065, e is-0.006903, f is 1.026632 and g is 49.999999.
6) Testing of tire deflection
The deflection of a tire having a specification of 12.00R20 was tested under various pressures and loads according to GB/T521 method and the test results are shown in Table 1.
TABLE 112.00 test results for R20 sinkage
Figure BDA0003489582280000042
Figure BDA0003489582280000051
7) Calculation and analysis of theoretical value of tire subsidence
And (3) calculating the corresponding inflation pressure and the sinking amount under the load in the step 6) according to the formula (1) and the formula (2), and comparing and analyzing the calculated values with the test values. The calculation results of formula (1) are shown in table 2, the calculation results of formula (2) are shown in table 3, and the comparative analysis results of the difference ratios are shown in fig. 3. The calculation result shows that the theoretical value of the sinkage calculated according to the formula (2) is closer to the test value, the error is smaller, and the difference ratio is closer to zero, which shows that the calculation formula (2) of the sinkage provided by the invention can calculate the sinkage of the tire with the specification more accurately.
TABLE 2 theoretical value of 12.00R20 sinkage calculated according to equation (1)
Figure BDA0003489582280000052
TABLE 3 theoretical value of 12.00R20 sinkage calculated according to equation (2)
Figure BDA0003489582280000053
Figure BDA0003489582280000061
8) The amounts of sinking under different air pressures and loads of 8.25R20, 9.00R20, 10.00R20 and 11.00R20 are respectively tested according to the method of the step 6), the theoretical values of the amounts of sinking are calculated according to the formulas (1) and (2), and the test results and the calculation results are shown in tables 4 to 7. Comparing the theoretical values calculated by the two formulas with the test values, it can be seen from fig. 4-7 that the theoretical values calculated by the formula (2) are closer to the test values. The results show that the formula (2) can calculate the amount of sinking of the 20-inch heavy-duty tire series with high accuracy.
TABLE 48.25 test and theoretical values for R20 sinkage
Figure BDA0003489582280000062
TABLE 59.00 test and theoretical values for R20 sinkage
Figure BDA0003489582280000063
Figure BDA0003489582280000071
TABLE 610.00 test and theoretical values for R20 sinkage
Figure BDA0003489582280000072
TABLE 711.00 test and theoretical values for R20 sinkage
Figure BDA0003489582280000073

Claims (10)

1. A method for calculating the sinking amount of a truck tire is characterized by comprising the following steps:
1) and (3) finite element meshing: drawing a material distribution map of the tire by using software, and carrying out finite element meshing on the whole structure of the tire in the software;
2) endowing the material with the following properties: according to the actual test condition of the tire material, distributing corresponding material attributes to each rubber unit and the tire body reinforcing material; using the skeletal material elements to represent the reinforcement of the reinforcement material;
3) establishing a two-dimensional model: setting a boundary condition of a tire model, setting contact surface properties and friction coefficients of a rim and a tire bead part and a contact surface of a tire and the ground; then the steel wire ring is contracted to the inner side of the wheel rim; then deforming the tread, contacting the bead with the rim, and expanding the tire to an equilibrium state;
4) establishing a three-dimensional model: establishing a three-dimensional tire simulation model through a two-dimensional model; setting a road surface model and contact properties of the tire surface and the road surface to align the center line of the tire with the center line of the road surface; applying corresponding load to the road surface, wherein the direction is vertical to the contact surface of the tire and the ground, so that the road surface is in contact with the tire, and the tire deforms;
5) data processing: extracting a plurality of groups of data points (sinkage, pressure and load) in the analysis process, namely corresponding sinkage under different load and inflation pressure conditions; substituting the data into the following tire settlement calculation formula (2) to calculate the settlement;
the data is substituted into the following calculation.
Δd＝a·(k)bFormula (2)
Figure FDA0003489582270000011
Wherein, Delta d is the sinking amount and the unit is mm; l is load in kg; p is inflation pressure in kPa; AR, Sn, Dr are all parameters related to tire specifications; a. b is the relevant parameter of formula (2); c. d, e, f and g are parameters obtained by correcting the formula (1).
2. The method for calculating the sinking amount of the tires of the truck according to claim 1, wherein in the step 1), the material distribution map of the tires is drawn by using AutoCAD software.
3. The method for calculating the sinking amount of the tires of the truck according to claim 1, wherein in step 1), the overall structure of the tires is divided into quadrilateral or triangular units, and all the units have axisymmetric properties.
4. The method for calculating the sinking amount of the tires of the truck according to claim 1, wherein the step 3) of setting the boundary conditions of the tire model comprises setting the surface of the lining layer as an acting surface for applying the inflation load.
5. The method for calculating the sinking amount of the tires of the truck according to claim 1, wherein in step 3), the corresponding rim curve is selected, and then the bead ring is contracted to the inner side of the rim by applying a certain force to the bead ring.
6. The method for calculating the sinking amount of the tire of the truck as claimed in claim 1, wherein in the step 3), the inflation pressure is set to be vertical to the inner surface unit of the inner liner, so that the tread is deformed, the tire bead is contacted with the wheel rim, and the tire is expanded to the balanced state.
7. The method for calculating the sinking amount of the tires of the truck according to claim 1, wherein in step 4), the two-dimensional model is rotated 360 degrees to form a three-dimensional tire simulation model.
8. A computer device comprising a memory, a processor and a computer program stored on the memory, characterized in that the processor executes the computer program to implement step 5) of the method of any one of claims 1 to 7.
9. A computer-readable storage medium, on which a computer program or instructions are stored, which, when executed by a processor, carry out step 5) of the method of any one of claims 1 to 7.
10. A computer program product comprising a computer program or instructions, characterized in that the computer program or instructions, when executed by a processor, implements step 5) of the method of any one of claims 1 to 7.
CN202210092090.6A 2022-01-26 2022-01-26 Method, device, medium, and program for calculating sinking amount of truck tire Pending CN114492131A (en)

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