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。
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.
作者
刘梦
刚宪约
车业军
孟朋
张帆
LIU Meng;GANG XianYue;CHE YeJun;MENG Peng;ZHANG Fan(School of Transportation and Vehicle Engineering,Shandong University of Technology,Zibo 255000,China;Shandong Polytechnic College,Jining 272100,China)
出处
《机械强度》
CAS
CSCD
北大核心
2024年第4期939-945,共7页
Journal of Mechanical Strength
基金
山东省自然科学基金项目(ZR2020ME140)资助。
关键词
弹性接触修形
接触压力
非一致网格
单元形函数
Profile modification of elastic interface
Contact pressure
Non⁃uniform mesh
Element shape function
