| 许强,蒋彦涛,张志佳.快速多极虚边界元法对含圆孔薄板有效弹性模量的模拟分析[J].计算力学学报,2010,27(3):548~555 |
|
| 
码上扫一扫！ |
| 快速多极虚边界元法对含圆孔薄板有效弹性模量的模拟分析 |
| Fast multipole VBEM for analyzing the effective elastic moduli of a sheet containing circular holes |
| 投稿时间：2008-06-25 |
| DOI：10.7511/jslx20103029 |
| 中文关键词: 快速多极算法 广义极小残值法 有效弹性模量 虚边界元法 弹性体 |
| 英文关键词:fast multipole method (FMM) generalized minimal residual algorithm (GMRES) effective elastic moduli virtual boundary element method (VBEM) elastic body |
| 基金项目:国家自然科学基金(50875137);山东省自然科学基金(Y2007F30);青岛市科技发展基金(06-2-2-19-jch);山东省教育厅基金(Y07JY17)资助项目. |
|
| 摘要点击次数: 1703 |
| 全文下载次数: 1178 |
| 中文摘要: |
| 针对虚边界元法,引入快速多极展开和广义极小残值法(GMRES)的思想,以形成快速多极虚边界元法的求解思想,并将此方法用于含圆孔薄板有效弹性模量的模拟分析。由于本文方法采用了"源点"多极展开和"场点"局部展开的组合处理方案,从而使得原问题方程组求解的计算耗时量和储存量降至与所求问题的计算自由度数成线性比例。本文工作的研究目的在于:提高虚边界元法在普通台式机上的运算能力和拓宽虚边界元法对大规模复杂问题的求解(或数值模拟)。文中给出了均布圆孔的正方形薄板和之字形分布圆孔薄板二个算例,以验证该方法的可行性,计算精 |
| 英文摘要: |
| To the virtual boundary element method (VBEM), generalized minimal residual algorithm (GMRES) and fast multipole method (FMM) are used to form the idea of fast multipole VBEM, which is applied to analyze the effective elastic moduli of a plate containing circular holes. Owing to the combined scheme of multipole expansion at the collocation point and local expansion at the integration point, the complexities of operation and memory about solution of the equations would be made to be of linear proportion to the freedoms of the problem. The purpose of the present study is to improve the operational capability of VBEM on a laptop computer and extend the numerical simulation of large scale complex problem. Two numerical examples about a square plate with uniformly distributed holes and a sheet containing zig-zag distributed holes are presented to demonstrate the feasibility, accuracy and efficiency of the method. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
