摘要
本文将边界元法应用于圆柱壳。在建立积分方程时,作者建议用板的基本解叠加三角级数解作为圆柱壳的基本解,并导出了圆柱壳的边界元解法的基本公式。计算表明,使用该基本解,提高了计算精度。文中还提出了区域积分的处理方法。数值计算显示,用边界元法分析圆柱壳的开孔问题是十分有效的。
In this paper,the BEM is applied to the cylindrical shell.The authors suggest to use the foundational solution of plate superposing the triangle series solution as the foundational solution of the cylindrical shell when the boundary integral equations are established.On this basis,the foundational formulas of the BEM of cylindrical shell are derived.It is known from computation that the velocity of convergence and the accuarcy are improved by using the foundational solution.The method to treat the area integration is also proposed.From the results of the numerical calculation,it is showed that it is valid to analyse cutouts in cylindrical shell with the BEM.
关键词
圆柱壳
应力集中
边界元
压力容器
cylindrical shell
stress concentration
Boundary Element Method(BEM)
