基于降阶模型的非经典阻尼结构拓扑修改的复模态重分析方法

摘要

对非经典阻尼结构自由度增加的拓扑修改重分析问题,提出了一种近似方法.这一方法基于初始结构和拓扑修改结构的降阶模型,采用动力缩聚和复矩阵奇异值分解两个步骤,然后结合瑞利商逆迭代法来求解.数值算例结果表明:该方法具有较高的精度,且效率高.%An approximate method for reanalysis of topological modification of a non-classical damped structure with added degrees of freedom (DOF) was presented. The method based on a reduced model of an original structure and its to- pologically modified one followed through introducing dynamic condensation and singular value decomposition of complex matrix, and then combining it with Rayleigh quotient inverse iteration method the final results were obtained. The results of numerical examples showed that the suggested method could provide good approximation solutions with high precision, and it was effective and feasible.