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耗能减震结构的复模态矩阵摄动法
引用本文:李正良,汪之松,李正英,熊辉. 耗能减震结构的复模态矩阵摄动法[J]. 工程力学, 2007, 24(9): 14-18
作者姓名:李正良  汪之松  李正英  熊辉
作者单位:重庆大学土木工程学院,重庆,400030
基金项目:国家重点基础研究发展计划(973计划)
摘    要:针对耗能减震结构的分析和优化设计过程中要遇到非比例阻尼和参数改变的情况,如果要较精确地求解系统的广义特征值问题,需经过两重迭代计算,这种迭代振动分析是非常麻烦的。为了保证非比例阻尼结构分析的精度和结构参数改变时迭代分析的效率,推导适用于非经典阻尼情况的复模态矩阵摄动法,提高了结构重分析的效率,通过算例分析,表明了该方法在一定范围内具有较高的精度。

关 键 词:耗能减震结构  模态分析  非比例阻尼  复模态  矩阵摄动法
文章编号:1000-4750(2007)09-0014-05
修稿时间:2005-03-13

COMPLEX MODAL MATRIX PERTURBATION METHOD FOR ENERGY DISSIPATION SYSTEMS
LI Zheng-liang,WANG Zhi-song,LI Zheng-ying,XIONG Hui. COMPLEX MODAL MATRIX PERTURBATION METHOD FOR ENERGY DISSIPATION SYSTEMS[J]. Engineering Mechanics, 2007, 24(9): 14-18
Authors:LI Zheng-liang  WANG Zhi-song  LI Zheng-ying  XIONG Hui
Affiliation:College of Civil Engineering, Chongqing University, Chongqing 400030, China
Abstract:Changing parameters and non-proportional damping is usually encountered in the optimum analysis and design of structures with energy dissipaters. Double iterative computations are necessary to compute the generalized Eigen value accurately, which is very complicated. A complex modal matrix perturbation method for symmetrical systems is deduced for optimum analysis of non-proportionally damped structures. The method is proved to be efficient by the numerical example.
Keywords:structures with energy dissipation systems  modal analysis  non-proportional damping  complex modal  matrix perturbation method
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