NEW PROFILE MODIFICATION METHOD OF NON⁃UNIFORM MESHES BASED ON SHAPE FUNCTION

LIU Meng; GANG XianYue; CHE YeJun; MENG Peng; ZHANG Fan

doi:10.16579/j.issn.1001.9669.2024.04.024

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NEW PROFILE MODIFICATION METHOD OF NON⁃UNIFORM MESHES BASED ON SHAPE FUNCTION

Design · Calculation | 更新时间：2024-12-26

- NEW PROFILE MODIFICATION METHOD OF NON⁃UNIFORM MESHES BASED ON SHAPE FUNCTION
- Journal of Mechanical Strength Vol. 46, Issue 4, Pages: 939-945(2024)
- 作者机构：
  
  1. 山东理工大学交通与车辆工程学院
  2. 山东理工职业学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2024.04.024
  CLC： O343.3
- Published：15 August 2024，
- 稿件说明：
移动端阅览
LIU MENG, GANG XIANYUE, CHE YEJUN, et al. NEW PROFILE MODIFICATION METHOD OF NON⁃UNIFORM MESHES BASED ON SHAPE FUNCTION. [J]. Journal of mechanical strength , 2024, 46(4): 939-945.
DOI：

LIU MENG, GANG XIANYUE, CHE YEJUN, et al. NEW PROFILE MODIFICATION METHOD OF NON⁃UNIFORM MESHES BASED ON SHAPE FUNCTION. [J]. Journal of mechanical strength , 2024, 46(4): 939-945. DOI： 10.16579/j.issn.1001.9669.2024.04.024.

摘要

针对接触压力分布不均导致机械零部件过早失效的问题

提出了一种非一致网格接触修形新方法。基于单元形函数和“虚拟节点”建立了非一致网格接触节点之间的力学关系

推导得到了节点修形量与接触压力之间的数学方程

提出了一种通过最小化最大接触压力求解修形量的极小极大模型

并根据其数学特点将该模型转换为线性规划模型

提高了修形量计算的效率和全局收敛性。通过三个弹性接触修形实例

验证了该方法对一般弹性接触修形问题的适用性和有效性。

Abstract

A new profile modification method of non⁃uniform meshes was proposed to solve the problem of premature failure of mechanical components due to uneven contact pressure distribution.Based on the element shape function and"virtual nodes"

a formula was developed to formulate the mechanical relation between the contact nodes of the non⁃uniform mesh

a mathematical equation was derived to formulate the correspondence between the node modification and the contact pressure

and a minimax model was developed to solve the modification by minimizing the maximum contact pressure.In order to improve global convergence and computational efficiency of the modification calculation

the minimax model was transformed into a linear programming model.The applicability and effectiveness of this new profile modification method for general elastic contact modification problems was verified by three elastic contact modification examples.

关键词

弹性接触修形接触压力非一致网格单元形函数

Keywords

Profile modification of elastic interfaceContact pressureNon-uniform meshElement shape function

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