基于哈密顿体系的框剪结构动力时程分析

摘要

Parallel shear - bending beam model of frame -shear wall structures is used for the dynamic time history analy_sis. According to the total potential energy of structure, the Hamiltonian dual system of coordination analysis under the dis_continuous assumption is established for frame - shear wall struc_ture. The layer element stiffness matrix is introduced according to interval mixed energy matrix which is based on the precise in_tegration method of the double end boundary value problems, and the global stiffness matrix of structure can be established ac_cording to the finite element stiffness integration method. Even_tually, the dynamic time history analysis is processed on the frame - shear wall structures based on the precise integration method of initial value problems, and the relevant program is compiled. The reliability and feasibility of this method is testi_fied through a 10 - floor frame - shear building. Moreover, the method can be applied conveniently to other high buildings,such as frame structures, shear wall structures, tube - in - tube structures and so on.%本文采用框剪结构的并联铁摩辛柯梁模型，从结构总势能出发，求得框剪结构非连续化假定下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，利用有限元刚度集成法形成总刚矩阵；然后采用初值问题的精细积分法对框剪结构进行动力时程分析，并采用 Matlab 编制相应的程序。以某10层框剪结构为例，验证了本文方法的可靠性与可行性，本方法也适用于其它高层建筑结构如框架、剪力墙、筒中筒等结构。