边界元法分析狭长体结构

Boundary element analysis of the thin-wall structures

针对边界元法分析狭长结构时遇到的几乎奇异积分难以计算的困难 ,将几乎奇异积分划分为两种类型 ,分别通过分部积分变换把引起积分几乎奇异的参量移至积分号之外 ,从而建立了一个新的正则化算法 ,解决了边界积分方程中几乎奇异积分的计算难题。文中用边界元法计算了弹性力学平面问题的狭长结构 。

The nearly singular integrals occur in boundary element method when it is applied to analyzing thin-wall structures or calculating the quantities close to the boundary. A regularization algorithm is given to calculate the nearly singular integrals. The singular factor is separated from the integrands of the nearly singular integrals by using integration by parts, so that the nearly strongly singular and hyper-singular integrals are successfully evaluated. The algorithm is used to analyze the thin-wall structures of two-dimensional elasticity problems.