求解线接触热弹流润滑问题的多目标最优化方法  

The Multi-objective Optimization Method for Solving the Thermal-Elastohydrodynamic Lubrication Problem with a Linear Contact

作　　者：李乃成[1] 张可村[1] 

机构地区：[1]西安交通大学科学计算与应用软件系

出　　处：《工程数学学报》1995年第1期103-110,共8页Chinese Journal of Engineering Mathematics

摘　　要：本文给出了求解线接触热弹流润滑问题中非线性方程组的多目标最优化方法。该法把求解润滑油膜压力函数和油膜厚度函数的微分方程转化成为求解一个双目标最优化问题，求得了压力和膜厚的解析解，所得结果符合热弹流润滑的经典理论。Abstract In thhis paper,a multi-objective optimization method is proposed for solving the nonlinear differential equations in the thermal-elastohydrodynamic lubrication problem with a line contact.By means of the proposed method, the differential equations for the pressure function and the thickness function in the oil-film are transformed into a bi-objective optimazation problem.By solving the transformed problem,the analytical solutions for the pressure function and thickness function in the oil-film are obtained.The result is consistent with the classical theory of the thermal-elastohydrodynamic lubrication.

关 键 词：多目标最优化 热弹流润滑 油膜 润滑 线接触 

分 类 号：TH117.2[机械工程—机械设计及理论]