精确几何单元下弹性薄体结构问题的边界元法分析

Boundary Element Analysis of Thin-walled Structures in Elasticity Problems with Exact Geometrical Representation

摘要: 对圆弧单元下的几乎奇异积分,采用变量替换法进行正则化,然后采用通常的高斯求积公式进行计算,可获得相当高的计算精度,即使是超薄的薄体结构,方法仍然十分有效.

Abstract: An exact geometrical representation,arc element,is introduced for thin bodies with circular boundary.A general nonlinear transformation available for arc elements is constructed.With exact geometrical representation,numerical accuracy of nearly singular integrals is greatly improved,which makes possible to deal with ultra-thin structures.