多点连接主次结构非线性地震响应分析

摘要

The seismic response ofMDOF (multi-degree-of-freedom) primary-secondary system is studied in this paper.The stiffness matrix and damping matrix are established based on the rule of " set-in-rightposition".Based on the principle that the total potential energy of the system in a different coordinate system is equal at the same time,the transfer matrix from restoring force vector of element to restoring force of joints is deduced.Extend the treatment method of elastic-plastic restoring force for shear type structures in existing literatures to discrete mass structures with arbitrary member-and-nodes relation.The nonlinear analysis program is developed based on VB,and the characteristics and law of seismic response of a typical MDOF primarysecondary system is analyzed initially.%针对多点连接多自由度主次结构,采用“对号入座”方法建立了系统的刚度、阻尼矩阵;利用系统在同一时刻不同坐标系下势能相同的原理,建立了由杆件恢复力向量到结点恢复力向量的转换矩阵;将现有文献中针对普通剪切型结构弹塑性力的处理方法推广到具有任意杆件结点关系的质量离散型结构.用Visual Basic语言编制了非线性时程分析程序,初步分析了一个典型多点连接主次结构的地震响应特点和规律.