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基于SBFE和改进连分式的有限域动力分析

陈灯红 杜成斌

陈灯红, 杜成斌. 基于SBFE和改进连分式的有限域动力分析[J]. 力学学报, 2013, 45(2): 297-301. doi: 10.6052/0459-1879-12-198
引用本文: 陈灯红, 杜成斌. 基于SBFE和改进连分式的有限域动力分析[J]. 力学学报, 2013, 45(2): 297-301. doi: 10.6052/0459-1879-12-198
Chen Denghong, Du Chengbin. DYNAMIC ANALYSIS OF BOUNDED DOMAINS BY SBFE AND THE IMPROVED CONTINUED-FRACTION EXPANSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 297-301. doi: 10.6052/0459-1879-12-198
Citation: Chen Denghong, Du Chengbin. DYNAMIC ANALYSIS OF BOUNDED DOMAINS BY SBFE AND THE IMPROVED CONTINUED-FRACTION EXPANSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 297-301. doi: 10.6052/0459-1879-12-198

基于SBFE和改进连分式的有限域动力分析

doi: 10.6052/0459-1879-12-198
基金项目: 国家自然科学基金(11132003,50779011)和江苏省普通高校研究生科研创新计划(CX09B155Z)资助项目.
详细信息
    通讯作者:

    陈灯红,主要研究方向:比例边界有限元法.E-mail:chdenghong@yahoo.com.cn

  • 中图分类号: O241

DYNAMIC ANALYSIS OF BOUNDED DOMAINS BY SBFE AND THE IMPROVED CONTINUED-FRACTION EXPANSION

Funds: The project was supported by the National Natural Science Foundation of China (50779011, 11132003) and the Innovative Project for Graduate Students of Jiangsu Province (CX09B 155Z).
  • 摘要: 基于比例边界有限元理论框架,通过采用连分式展开和引入辅助变量,将有限域的动力刚度矩阵和质量矩阵采用高阶的矩阵表示. 采用改进的连分式法求解比例边界有限元方程中的动力刚度矩阵. 通过增加连分式展开的阶数,该求解方法能包含动力分析的主要频率范围. 针对结构自由度较多的系统当连分式阶数逐渐增大时,原连分式算法可能会造成矩阵运算病态的问题,提出采用改进的连分式算法能有效地提高数值计算稳定性.通过对一正八边形的自由振动分析及矩形平面的时域分析,算例结果表明改进算法的鲁棒性更强,适合大规模系统的动力分析.

     

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  • 被引次数: 0
出版历程
  • 收稿日期:  2012-07-12
  • 修回日期:  2012-10-22
  • 刊出日期:  2013-03-18

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