压电桁架分析方法及算法  

On the Analysis of Piezoelectric Trusses

作　　者：宋肖晶[1] 马海涛[1] 

机构地区：[1]华南理工大学土木工程系,亚热带建筑科学国家重点实验室,广州510641

出　　处：《科学技术与工程》2009年第19期5906-5911,5916,共7页Science Technology and Engineering

基　　金：国家科技支撑项目(2006BAJ01B07-05)资助

摘　　要：总结了压电桁架结构有限元分析的基本方程和求解算法,并具体讨论了因为考虑机电耦合性质产生的具有非对称系数矩阵线性方程组的凝聚求解法和直接LU分解法。对静力分析中两种方法进行了研究和对比,归纳了各自的特点。最后,考虑到直接LU分解算法的一些明显优势,提出了基于直接LU分解法进行压电桁架结构分析和优化设计的算法。A summary of the formulation and solution of structural analysis problem of piezoelectric trusses is presented. Two methods for the solution of the system equations with non-symmetric coefficient matrix, the condensation and direct LU decomposition methods are investigated in details. Characteristics of the two methods are summarized. Finally, with the consideration of the relative advantages of direct LU decomposition method, a new algorithm based on the LU decomposition method is proposed for the analysis and optimization of the piezoelectric truss structure.

关 键 词：压电桁架 结构分析与优化 非对称系数矩阵 算法 

分 类 号：TU311.4[建筑科学—结构工程]