CN-121168163-B - Finite element design analysis method and system for engineering tire belt layer end structure

CN121168163BCN 121168163 BCN121168163 BCN 121168163BCN-121168163-B

Abstract

The invention belongs to the technical field of tire engineering design, and discloses a finite element design analysis method and a finite element design analysis system for an end structure of a belt layer of an engineering tire; the method comprises the steps of obtaining and preprocessing tire carcass contour data and initial belt parameters, carrying out belt end parameterization modeling based on a standardized tire geometric model, constructing a durability finite element analysis model to obtain a stress strain distribution field, carrying out multi-parameter sensitivity analysis to determine a key influence factor weight matrix, optimally designing a belt end structure based on the matrix, and finally carrying out durability verification and evaluation. The invention realizes the homogenization of the stress distribution of the end part of the belt ply and the optimization of the structural rigidity through precise geometric expression, flexible parametric modeling, precise performance analysis and multi-objective optimization design.

Inventors

MAO JIANQING
TANG SHIGEN
CHENG GANG
HAN WENSHUANG
ZHAO FENGBO
Zheng Nengzhou
WU XIAOHUA

Assignees

中策橡胶(天津)有限公司

Dates

Publication Date: 20260505
Application Date: 20250919

Claims (8)

1. The finite element design analysis method for the end structure of the belt ply of the engineering tire is characterized by comprising the following steps of: Step S1, obtaining and preprocessing tire carcass contour data and initial belt parameters to obtain a standardized tire geometric model; s2, carrying out belt end parameterization modeling based on the standardized tire geometric model to obtain a belt end parameterization model; the step S2 comprises the following steps: determining a shoulder contour tangent line of the tire body on the standardized tire geometric model to obtain a shoulder reference tangent line; Determining the width of the belt end point to the tire center line and the height difference of the belt end point to the projection point of the belt end point on the tire center line to obtain end point position coordinates, wherein the method comprises the following steps: Establishing a tire geometric coordinate system, taking a tire central line as a Y axis, taking a horizontal direction vertical to the central line as an X axis, and generating a digital contour coordinate point set based on the standardized tire geometric model; Fitting a belt layer reference curve by using the digital contour coordinate point set and adopting a cubic spline interpolation method, and constructing a curve function relation to obtain a belt layer smooth transition function; Setting self-adaptive grid density in an end critical area based on the belt smooth transition function, and carrying out fine sampling by double constraint conditions of curvature continuity and tangent continuity to obtain a high-precision endpoint feature vector; extracting a horizontal projection distance from an endpoint to a tire center line from the high-precision endpoint feature vector as a width parameter W, extracting a vertical distance from the endpoint to a center line projection point thereof as a height difference parameter H, and forming an endpoint parameter binary group (W, H); mapping the endpoint parameter binary groups (W, H) to a global coordinate system through a space transformation matrix, and combining the feature point relation of the carcass shoulder to obtain endpoint position coordinates; setting an included angle parameter between an endpoint tangent line of the belt layer and a shoulder tangent line of the carcass, and then obtaining an endpoint tangent direction; setting curvature radius of the end part of the belt layer and radius parameters of the transitional connected arc, and then obtaining an end part curve equation; Generating a belt end geometric structure based on the end point position coordinates, the end point tangential direction and an end curve equation to obtain a belt end parameterization model; s3, constructing a durability finite element analysis model based on the belt end parameterization model to obtain a belt end stress strain distribution field; S4, carrying out multi-parameter sensitivity analysis based on the stress-strain distribution field of the belt end part to obtain a key influence factor weight matrix; s5, carrying out optimization design on the end structure of the belt layer based on the key influence factor weight matrix to obtain an optimized end structure scheme of the belt layer; and S6, carrying out durability verification and evaluation based on the optimized belt end structure scheme to obtain a final belt end structure design result.
2. The method of finite element design analysis of an end structure of a belt of an engineering tire according to claim 1, wherein step S1 includes: performing curve fitting and digital processing on the tire body contour data to obtain a body contour curve equation; normalizing the initial belt parameters to obtain an initial belt parameter set; performing differential analysis on the carcass contour curve equation, and determining the position of a tire shoulder inflection point and the tangential direction to obtain a shoulder characteristic point set; And constructing a three-dimensional parameterized model based on the initial belt parameter set and the shoulder characteristic point set to obtain a standardized tire geometric model.
3. The method of finite element design analysis of an end structure of a belt of an engineering tire according to claim 1, wherein step S3 includes: grid division is carried out on the belt end parameterization model, grid encryption parameters are set in an end area, and a belt end finite element grid is generated; Distributing material properties including belt steel wire elastoplasticity parameters and rubber matrix superelasticity parameters to the belt end finite element grids, and establishing a belt interface contact model; Applying internal inflation pressure, external contact force and tire rotation angular velocity boundary conditions on the belt interface contact model to form a load boundary condition matrix; carrying out nonlinear large deformation solving by using the load boundary condition matrix, and calculating a balance state by using an incremental iteration method to obtain a node displacement field; calculating a stress component and a strain component of a Gaussian integral point based on the node displacement field, and establishing a belt end stress field function and a strain field function; And extracting the maximum stress value and the maximum strain value of the end part and the distribution position of the maximum stress value according to the stress field function and the strain field function, and generating a belt layer end part stress strain distribution field.
4. The method of finite element design analysis of an engineering tire belt end structure according to claim 1, wherein step S4 includes: Setting an included angle beta between a belt end point tangent line and a shoulder carcass tangent line, a curvature radius rho 1 of the belt end and a parameter change range of a height difference he from the belt end point to the tread center position to obtain a parameter change interval; generating an orthogonal test design scheme based on the parameter change interval to obtain a parameter combination matrix; performing finite element simulation calculation on each group of parameters in the parameter combination matrix to obtain a plurality of groups of stress-strain result sets; Performing analysis of variance and sensitivity calculation on the multiple groups of stress and strain result sets to obtain parameter sensitivity ordering; and establishing an influence factor weight evaluation system based on the parameter sensitivity ordering to obtain a key influence factor weight matrix.
5. The method of finite element design analysis of an end structure of a belt of an engineering tire according to claim 1, wherein step S5 includes: constructing a belt end structure optimization objective function based on the key influence factor weight matrix, and taking end stress minimization and structural rigidity maximization as optimization targets to obtain a multi-target optimization expression of the belt end; Aiming at the multi-target optimization expression of the belt end, setting belt end structural parameters including a terminal tangential included angle, a curvature radius, a change range of the shape of a transition zone and process constraint to obtain a belt end design variable constraint equation set; Inputting the multi-objective optimization expression of the belt end and the constraint equation set of the belt end design variable into an optimization solver, and carrying out parameter optimization calculation by adopting a method of combining a response surface agent model and an improved genetic algorithm to obtain a Pareto optimal solution set of the belt end structure; applying a multi-attribute decision method to the belt end structure Pareto optimal solution set, and evaluating and screening based on comprehensive indexes of stress level, manufacturing difficulty and structural stability to obtain an optimal parameter combination of the belt end structure; and updating the end geometric characteristics by utilizing the optimal parameter combination of the belt end structure, and reconstructing a belt end parameterization model to obtain an optimized belt end structure scheme.
6. The method for finite element design analysis of an engineering tire belt end structure according to claim 5, wherein constructing a belt end structure optimization objective function based on the key influence factor weight matrix, and obtaining a multi-objective optimization expression of the belt end by taking end stress minimization and structural rigidity maximization as optimization targets comprises: extracting design parameters with highest weight coefficients from the key influence factor weight matrix, and establishing an end structure influence factor set to obtain end structure main control parameters; establishing a response function of the maximum stress sigma max of the end part and the design variable based on the main control parameter of the end part structure, and adopting a least square method to fit a parameter relation curved surface to obtain a stress response equation; Establishing a rigidity characteristic characterization function of an end region of the belt layer, and calculating a rigidity coefficient K of the end structure through strain energy under unit load to obtain a rigidity evaluation equation; normalizing the stress response equation and the stiffness evaluation equation to obtain a standardized objective function term; And (3) distributing weighting coefficients for the standardized objective function items based on tire use condition requirements and failure mechanism analysis, and constructing comprehensive evaluation indexes to obtain a multi-objective optimization expression of the belt end.
7. The method of finite element design analysis of an end structure of a belt of an engineering tire according to claim 1, wherein step S6 includes: performing durable cyclic load finite element simulation on the optimized belt end structure scheme to obtain a fatigue life prediction result; Performing thermal-mechanical coupling analysis on the optimized belt end structure scheme to obtain a temperature field distribution prediction result; performing comprehensive durability evaluation based on the fatigue life prediction result and the temperature field distribution prediction result to obtain a durability evaluation index; performing fine adjustment and correction on the optimized belt end structure scheme according to the durability evaluation index to obtain an adjusted structure scheme; And carrying out engineering adaptability evaluation and manufacturing feasibility analysis on the adjusted structural scheme to obtain a final belt end structure design result.
8. A engineering tire belt end structure finite element design analysis system for implementing the engineering tire belt end structure finite element design analysis method according to any one of claims 1 to 7, comprising: the data preprocessing module is used for acquiring and preprocessing tire carcass contour data and initial belt parameters to obtain a standardized tire geometric model; the parameterization modeling module is used for carrying out parameterization modeling on the belt end part based on the standardized tire geometric model to obtain a parameterization model of the belt end part; The finite element analysis module is used for constructing a durability finite element analysis model based on the belt end parameterization model to obtain a belt end stress strain distribution field; The sensitivity analysis module is used for carrying out multi-parameter sensitivity analysis based on the stress-strain distribution field of the belt end part to obtain a key influence factor weight matrix; the structure optimization module is used for carrying out optimization design on the end structure of the belt layer based on the key influence factor weight matrix to obtain an optimized end structure scheme of the belt layer; And the performance verification module is used for carrying out durability verification and evaluation based on the optimized belt end structure scheme to obtain a final belt end structure design result.

Description

Finite element design analysis method and system for engineering tire belt layer end structure Technical Field The invention relates to the technical field of tire engineering design, in particular to a finite element design analysis method and a finite element design analysis system for an end structure of a belt layer of an engineering tire. Background Engineering tires are key components of modern engineering machinery, mining equipment and special vehicles, and the performance of the engineering tires directly affects the operation efficiency, safety and economy of the equipment. The belt layer serves as a core reinforcement component in the tire structure, and its end structure design quality has a decisive influence on the load carrying capacity, durability and failure mode of the tire. The end part of the belt layer is a stress concentration area and is also a weak link which is most likely to cause failure such as layering, cracking and the like under extreme working conditions such as high speed, heavy load and the like. However, the existing engineering tire belt end structure design process is highly dependent on subjective experience and repeated trial and error of technicians, and lacks quantitative parameter correlation analysis, so that the scheme quality is unstable and the individual difference is obvious. The traditional end geometric modeling method is insufficient in precision, and is difficult to accurately describe the geometric characteristics of the tiny curvature change and the transition region, so that the basic deviation of the subsequent stress calculation is caused. In the aspect of stress analysis, the existing method cannot effectively consider the composite stress state under the action of multi-directional load coupling, and particularly ignores the interaction mechanism of the hoop stress and the radial stress, so that dead zones exist in end failure prediction. The sensitivity analysis technology is rough, and cannot accurately identify the high-order nonlinear interaction effect among parameters, so that key design parameters are erroneously evaluated or completely omitted. The optimal design lacks a global visual field, the phenomenon of 'out of each other' is common due to the fact that single parameter local adjustment, and the cooperative optimization of stress distribution, structural rigidity and weight cannot be realized. The durability evaluation method is simplified, the fatigue accumulation effect and the thermo-mechanical coupling effect under the complex working condition are difficult to simulate, and particularly, the synergistic action mechanism of rubber aging and steel wire creep under the high-temperature environment is seriously ignored. The superposition of the technical defects results in high design repeatability, frequent sample trial production and long road test verification period, so that a large amount of manpower and material resources are consumed, and the technical progress and innovation pace of the high-performance engineering tire are more severely restricted. In view of the above, the present invention proposes a method and a system for finite element design analysis of an end structure of a belt of an engineering tire to solve the above-mentioned problems. Disclosure of Invention To overcome the above-mentioned drawbacks of the prior art, in order to achieve the above-mentioned objects, the present application provides, in a first aspect, a method for finite element design analysis of an end structure of a belt of an engineering tire, comprising: Step S1, obtaining and preprocessing tire carcass contour data and initial belt parameters to obtain a standardized tire geometric model; s2, carrying out belt end parameterization modeling based on the standardized tire geometric model to obtain a belt end parameterization model; s3, constructing a durability finite element analysis model based on the belt end parameterization model to obtain a belt end stress strain distribution field; S4, carrying out multi-parameter sensitivity analysis based on the stress-strain distribution field of the belt end part to obtain a key influence factor weight matrix; s5, carrying out optimization design on the end structure of the belt layer based on the key influence factor weight matrix to obtain an optimized end structure scheme of the belt layer; and S6, carrying out durability verification and evaluation based on the optimized belt end structure scheme to obtain a final belt end structure design result. In a second aspect, the present application provides a finite element design analysis system for an end structure of a belt layer of an engineering tire, which is used for implementing the finite element design analysis method for the end structure of the belt layer of the engineering tire, and the method comprises the following steps: the data preprocessing module is used for acquiring and preprocessing tire carcass contour data and initial belt parame