结构动力重分析的向量值有理逼近方法  

Vector-valued Rational Approximate Method for Structural Dynamic Reanalysis

作　　者：孙亮[1] 李顺华[2] 李正光[1] 吴柏生[1] 

机构地区：[1]吉林大学数学学院力学与工程科学系,长春130012 [2]北京科技大学应用科学学院数力系,北京100083

出　　处：《吉林大学学报（理学版）》2005年第3期258-261,共4页Journal of Jilin University:Science Edition

基　　金：教育部高等学校博士点基金(批准号:20020183041);吉林省科技发展计划项目基金(批准号:20030106)

摘　　要：研究动力重分析问题,针对结构参数大修改,提出一种将矩阵摄动法与向量值函数的有理逼近方法组合起来的新方法.在只增加少许计算量的情况下,利用向量值函数的有理逼近方法以及Rayleigh商来改善摄动解的逼近质量并扩大其逼近范围.该方法操作简单,易于辅助.两个数值例子表明,所提出的方法对结构参数发生大修改能够给出高精度的逼近结果.对结构参数大修改的动力重分析,向量值有理逼近是一种有效方法.The present paper is presented a new method for problems of structural dynamic reanalysis with very large changes in design variable. This method is based on combining the power-series expansion of eigenvalue problems with the rational approximation of a vector-value function. The use of the rational approximation and the Rayleigh quotient leads to that the quality of power-series expansion is significantly improved and the range of approximation is extended with a few of additional operation counts. The method is simple in operation and easy in implement. Two numerical examples were used to show that the proposed method can provide high quality approximations of the structural behavior for large changes in design variable. For large modification in design variable, the rational approximation of a vector-value function is an efficient method for structural dynamic reanalysis.

关 键 词：结构动力重分析 矩阵摄动方法 向量值有理逼近 RayleigIl商 

分 类 号：O342[理学—固体力学]