一种基于极小化极大接触压力的交界面修形新方法

针对轴承和齿轮等零部件接触压力分布不均问题,提出了一种极小化极大接触压力的弹性交界面修形新方法,仅需要一次结构分析就可以实现理想的修形结果。基于弹性接触理论与有限元法,推导建立了接触节点修形量与接触压力之间的数学方程;以极小化各接触节点的最大接触压力为目标,建立了计算修形量的极小极大模型;并利用最优化方法将其转化为线性规划问题,有效提高了求解的全局收敛性和计算效率。通过两个弹性接触修形实例,验证了新方法对一般弹性接触修形问题的适用性和高效性。

A new profile modification method by minimizing the maximum contact pressure

A new profile modification method is proposed to optimize the distribution of contact pressure existing in elastic components,such as bearings and gears.Based on elastic contact theory and the finite element method,a mathematical equation is developed to formulate the relationship between the contact pressure distribution and the modification displacements of each node.Then a Minimax problem is developed to minimize the maximum contact pressure of each contact node.The modification displacements can be accurately solved from this problem with only one-time structural analysis.To improve the computation efficiency and global convergence,this Minimax problem is further transformed into a linear programming problem.The general applicability and high efficiency of the new profile modification method is validated with two profile modification examples.