李正良, 范文亮, 周志祥. 基于摄动法及等效线性化的耗能减震结构振型分解法[J]. 工程力学, 2005, 22(3): 16-20.
引用本文: 李正良, 范文亮, 周志祥. 基于摄动法及等效线性化的耗能减震结构振型分解法[J]. 工程力学, 2005, 22(3): 16-20.
LI Zheng-liang, FAN Wen-liang, ZHOU Zhi-xiang. THE MODE-SUPERPOSITION METHOD FOR PASSIVE ENERGY DISSIPATION STRUCTURES BASED ON PERTURBATION METHOD AND EQUIVALENT LINEARIZATION[J]. Engineering Mechanics, 2005, 22(3): 16-20.
Citation: LI Zheng-liang, FAN Wen-liang, ZHOU Zhi-xiang. THE MODE-SUPERPOSITION METHOD FOR PASSIVE ENERGY DISSIPATION STRUCTURES BASED ON PERTURBATION METHOD AND EQUIVALENT LINEARIZATION[J]. Engineering Mechanics, 2005, 22(3): 16-20.

基于摄动法及等效线性化的耗能减震结构振型分解法

THE MODE-SUPERPOSITION METHOD FOR PASSIVE ENERGY DISSIPATION STRUCTURES BASED ON PERTURBATION METHOD AND EQUIVALENT LINEARIZATION

  • 摘要: 采用耗能减震结构是一种经济有效的提高结构抗震能力的方法.针对此类结构在基于等效线性化的振型分解反应谱法进行分析中存在的计算精度差且耗时的问题,提出了求解运动方程本征值问题的基于改进一阶摄动的模态高精度展开法,在此基础上,推导出强行解耦的振型分解法以及相应的一阶摄动修正.最后通过算例证明,提出的基于摄动法及等效线性化的耗能减震结构振型分解法是行之有效的.

     

    Abstract: It is an economical and effective method to enhance the aseismatic capability of buildings by using passive energy dissipation structures. But in the analysis of this type of structure with mode-superposition response spectrum method based on equivalent linearization, it is rather difficult and time-consuming to obtain satisfactory results. An accurate expansion method for modes based on the improved first-order perturbation is presented in this paper. A relatively uncoupled mode-superposition method and a modified first-order perturbation method are derived. A numerical example shows that the present strategy is correct and effective.

     

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