弹性接触问题的计算机辅助分析

Computer Aided Analysis of the Elastic Contact Problem

论述了两个弹性体之间点或线接触问题的理论及其计算机算法关键 ,表明完全可以采用计算机辅助分析手段直接进行求解。通过对各种主要弹性趋近量算式来源的阐述和相应计算结果的对比分析 ,得出了几条相关结论。

The elastic contact problem is a classical and important problem either from the aspect of engineering practice or from the aspect of theoretical research. Although the contact parameters should be calculated as precisely as possible for the elastic point contact problem, it has been solved by various approximate attempts so far. Based on the illustration of related theory and the analysis of critical points in computer algorithm, a direct full numerical solution to this problem is presented for the first time in this paper, the precision of calculated results is improved greatly compared with the conventional approximate solutions. For the elastic linear contact problem of finite length, we developed a visual computer software using the theory derived by N. Ahmadi and M. R. Hoeprich, which can calculate the value of elastic approach and present the in situ contact pressure graph quickly. Considering the fact that the value of elastic approach is critical to the elastic linear contact problem, systematically collect various calculation methods for it in a table, by comparing their corresponding calculated results, some useful conclusions are achieved.