非比例阻尼结构体系的快速随机分析被引量：1

Fast Stochastic Analysis for Non-proportionally Damped Structure

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摘要作者基于结构动力学、虚拟激励法和拟力法的基本思想推导了一种适用于非比例阻尼结构体系的新型快速随机分析方法。在所提出的新方法中,非比例阻尼结构的动力平衡方程以迭代的形式列出,基于此迭代方式,避免了大型矩阵的求逆运算。此外,与前人研究工作不同,新方法不需要求解结构体系的复数特征值,避免了复数运算。同时,作者指出了迭代方法收敛的充分条件,并研究了如何优化迭代矩阵来实现迭代过程的快速收敛。最后,作者进一步分析该方法的计算效率。 Fundamental principles from structural dynamics,pseudo excitation method and pseudo force method are used to develop a new fast stochastic method for seismic analysis of the non-proportionally damped structure.In the new method,the dynamic equilibrium equation of non-proportionally damped structure is expressed in the iteration form,based on which the inverse operation of the matrices is avoided.Moreover,the new method also does not need the solution of any complex eigenvalue problem,in contrast to other methods found in the literature.Sufficient condition for the convergence of the iterative method has been provided,and the approach to optimize the iterative matrices for rapid convergence is researched.Finally,the computation efficiency of the method is examined.

作者国巍李宏男

机构地区大连理工大学建设工程学部海岸与近海工程国家重点实验室

出处《武汉理工大学学报》 CAS CSCD 北大核心 2010年第9期31-34,44,共5页 Journal of Wuhan University of Technology

基金教育部创新团队资助项目(IRT0518) 高等学校学科创新引智计划项目(B08014)

关键词非比例阻尼随机分析虚拟激励法拟力法收敛条件 non-proportional damping stochastic analysis pseudo excitation method pseudo force method convergence condition

分类号 TU311.4 [建筑科学—结构工程]

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