多肢剪力墙自振频率传递矩阵法简化计算  

An approximate calculation of transfer matrix method for natural frequencies of vibration of multi-shear wall

作　　者：李桅[1] 李青宁[1] 

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《地震工程与工程振动》2010年第2期99-104,共6页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金资助项目(10572107)

摘　　要：基于连续体系模型与传递矩阵法的结合,提出了一种简化方法来计算多肢剪力墙的动力特性。整个结构体系等效模拟为一个夹层结构梁;建立了相应的基本微分方程;通过求解微分方程得到了楼层间变形函数;利用边界条件及层间变形函数导出了层间传递矩阵;据此计算出了体系的振型与自振频率。算例分析表明本文方法计算结果与文献给出的解是比较吻合的。An approximate calculation method based on the continuum approach and transfer matrix method for dynamic analyses of coupled shear wall structures is presented.The whole structure is idealized as a sandwich beam in this method.Initially the differential equation of this equivalent sandwich beam is developed,and then shape functions for each storey can be obtained by the solution to differential equations.By using boundary conditions and storey transfer matrices,which are obtained by these shape functions,system modes and natural frequencies of vibration can be calculated.Reliability of the study is shown with a few examples.The results of the examples display the agreement between the present method and the other methods given in the references.

关 键 词：多肢剪力墙 连续体系模型 动力分析 自振频率 传递矩阵法 

分 类 号：P315.96[天文地球—地震学] TU323.5[天文地球—固体地球物理学]