自然边界元法分析薄体结构边界应力
Journal Title: Science Paper Online - Year 2007, Vol 2, Issue 1
Abstract
自然边界元法在分析含薄壁结构对象的边界应力时，由于边界源点和对边上的积分单元距离很近，边界积分方程中存在几乎强奇异积分，阻碍了自然边界张量的准确计算，导致分析薄体结构边界应力失效。本文运用分部积分的技巧，给出了自然边界积分方程中几乎强奇异积分的完全解析表达式，再结合常规的位移边界积分方程联合求解边界应力。算例证明，同普通边界元法相比，本文方法可以分析更薄的薄体边界应力。
Authors and Affiliations
Changzheng Cheng, Zhongrong Niu, zhiyong Yang
Keywords
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