基于支座位移输入的频域地震反应分析方法  

A seismic response analysis method in frequencydomain based on input of support displacement

作　　者：孙军举[1] 孙建鹏[2] 李青宁[2] 

机构地区：[1]重庆交通科研设计院,重庆400067 [2]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《工程建设》2011年第6期1-5,共5页Engineering Construction

基　　金：国家自然科学基金资助项目(51078306)

摘　　要：提出了一种基于支座位移输入的频域地震反应分析方法,研究了结构在基础位移输入下的动力反应。首先根据结构在地震荷载作用下的受力机理建立了基础处的荷载点矩阵,然后结合频域精细传递矩阵理论建立结构的整体传递矩阵,输入地震位移傅立叶谱,运用边界条件进行求解,得出结构的动力反应。在上述算法的基础上进行了相应的算例分析,所得结果表明方法是有效、可行的。该法具有计算简单,思路清晰,节约内存等优点,可方便、高精度的进行结构的地震反应分析。The analysis method for seismic response in frequency domain based on input of support displacement was put forward, and the dynamic response of the structure with foundation displacement input was studied. First the load point matrix of the foundation was established in accordance with the load mechanism of the structure under seismic load action, and then the integral transfer matrix of the structure was established in combination with precise transfer matrix theory of frequency domain. Input fourier spectrum of seismic displacement, find the solutions using boundary conditions, and obtain the dynamic response of the structure. Based on the algorithm mentioned above, some examples were analyzed, and the results indicate that this method is effective and feasible. The method has the advantages of simple calculation, clear thinking and internal storage saving, which can be conveniently used for high accuracy seismic response analysis of structures.

关 键 词：精细传递矩阵法 基础位移 位移时程 频域 地震反应 傅立叶变换 

分 类 号：P315.9[天文地球—地震学] TU311.3[天文地球—固体地球物理学]