框剪结构动力时程分析的精细积分法  

Precise integration method of dynamic time history analysis of frame-shear wall structures

作　　者：胡启平[1] 王颖[1] 

机构地区：[1]河北工程大学土木工程学院,河北邯郸056038

出　　处：《河北工程大学学报（自然科学版）》2011年第1期1-4,9,共5页Journal of Hebei University of Engineering:Natural Science Edition

基　　金：河北省自然科学基金资助项目(E2006000630);河北省教育厅自然科学基金资助项目(2002147)

摘　　要：从框剪结构的总势能出发,根据结构的并联铁摩辛柯梁模型求得框剪结构协同分析的哈密顿对偶体系,由两端边值问题精细积分法中的区段混合能矩阵推导出结构的层单元刚度矩阵,然后利用有限元刚度集成法形成总刚矩阵,利用初值问题的精细积分法对框剪结构进行动力时程分析,并以Matlab编制相应程序。以某19层框剪结构为例,进行多遇地震作用下的动力时程分析,结果表明该结构的最大层间位移角为1/1 329,且结构没有出现明显的薄弱层,说明整个结构是处在弹性工作的状态,从而验证了该方法的可行性与可靠性。Proceeding from the total potential energy of frame-shear wall structure,the Hamiltonian dual system of coordination analysis is established according to the parallel Timoshenko beam beam model.The layer element stiffness matrix is deduced according to interval mixed energy matrix which is based on the precise integration method of the double end boundary value problems,and then the global stiffness matrix of structure can be set up by according to the finite element stiffness integration method.The dynamic time history analysis is eventually processed on the frame-shear wall structures based on the precise integration method of initial value problems,and the relevant program is programmed with the Matlab software.The reliability and feasibility of this method is tested by a 19-floor frame-shear building,and the result shows that the most story drift angle of the building is 1/1 329 under frequent earthquake action,which indicates the whole building is in the elastic working state.

关 键 词：框剪结构 动力时程分析 精细积分法 哈密顿对偶体系 

分 类 号：TU973.16[建筑科学—结构工程]