摘要
本文讨论了用边界元法来分析轴对称弹性问题。给出了奇异积分的处理方法,这种方法较单纯应用高阶高斯积分求积,显得精度高计算时间少。对于所形成的满系数非对称的系统方程组,本文应用拟波前法求解,从而使得应用微机即能求解规模较大的题目.最后,本文给出了一些简单的数值算例,计算结果与解析解相比较表明:用边界元法求解轴对称弹性问题,在精度上满足要求,从而便于工程应用。
In this paper, a boundary element method (BEM) for solving axisymmetric —clastic problems is comprehensively discussed. The new treatment of singular integrals is given and has some advantages, such as higher accuracy and less time in calculation compared with using complete high order Gauss type integral formula. The solution of nonsymmetrical fully-populated matrix systems in the BEM is carried out by using the quasi-frontal technique that can save a great amount of storage, so that large problems may be solved with small-sized computers. The numerical results agree well with available analytical solutions.
关键词
轴对称
弹性应力
边界元法
axisymmctrical body
elasticity
boundary clement method (BEM)
quasi-front solution
