计算物理 ›› 1988, Vol. 5 ›› Issue (2): 180-188.

• 论文 • 上一篇    下一篇

三维润滑问题的数值分析

韩庆书1, 鲁守智2   

  1. 1. 北大分校;
    2. 北京大学
  • 收稿日期:1987-05-08 修回日期:1988-04-17 出版日期:1988-06-25 发布日期:1988-06-25

NUMERICAL ANALYSIS OF THREE DIMENSIONAL LUBRICATION PROBLEMS

Han Qing-shu1, Lu Shou-zhi2   

  1. 1. The Branch of Beijing University;
    2. Beijing University
  • Received:1987-05-08 Revised:1988-04-17 Online:1988-06-25 Published:1988-06-25

摘要: 本文求解了轴承的三维润滑问题。使用格林函数方法,将基本方程化为求解区边界上的积分方程。采用空间曲边三角形单元离散边界,并用六结点等参数无数值求解积分方程,确定了速度场,压力场和边界上的应力。算例与解析解比较表明有较高的精度。其它一些典型问题的计算也给出满意的结果,表明本文方法对数值分析这类问题的有效性。

Abstract: In this paper, solutions of three-dimensional lubrication problem of bearing are presented, The basic equations are converted into boundray integral equations using Green's function me thod. Spatial triangular boundary elements and the isopara metric elements with six nodes are used to discretize the boundary of the solution domain. The integral equations are solved numerically. The velocity and pressure fields and the surface stress are determined. When we are compared with analytic solutions, this method has higher accuracy. Some satisfactory computation results for other typical problems are indicate the affectiveness of the method for numerical analysis of these kinds of problems.