摘要
本文提出了用边界元法分析有摩擦弹性接触问题的一个新方法,即边界元混合法。该方法是用边界元法先求出接触边界的接触内力的影响系数矩阵,再由接触边界的连续性条件求解接触内力,将接触面上的几何非线性转化到局部求解,使接触迭代的计算量大大降低。通过实例,将求出的计算结果同理论解以及其它数值方法的结果进行了比较,表明该方法是非常有效的。
This paper presents a mixed boundary element method of analyzing elastic contact problems. The general idea of this mixed approach using BEM are as following: after the matrix of influence coefficients of contact stress at the contacting boundary can be determined, further more regarding the stress as unknown variables, the compatibility conditions at contact boundary then were given. As a matter of fact, the geometrical nonlinear problem is solved in local areas. It reduces the amount of computation of contact iterations. With examples included, comparisons of the results using the new tehnique with those using theoretical formula and using other numerical methods are made, effectiveness is thus shown obviously.
