悬挂结构体系地震响应特性及其突变性分析  

Analysis of seismic response and catastrophic behavior of suspended structure systems

作　　者：王学庆[1] 刘海卿[1,2] 欧进萍[2] 

机构地区：[1]辽宁工程技术大学建筑工程学院,辽宁阜新123000 [2]大连理工大学土木水利学院,辽宁大连116024

出　　处：《地震工程与工程振动》2009年第3期121-125,共5页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(50678079);辽宁省优秀人才支持计划项目(2008RC24);辽宁省教育厅重点实验室项目(2008S113)

摘　　要：对现有悬挂结构动力分析模型作了改进,引入了悬挂子结构的随动刚度,将子结构对主结构的非线性驱动力添加到运动方程中。用数值解法给出了悬挂结构体系的地震响应分析,进而给出了振幅与频率响应的计算结果。分析了结构响应突变的复杂特性,结果表明体系参数的微小变化使响应振幅及其突变值等特性产生明显变化,反映出结构体系的地震响应特性对参数变化非常敏感。另外,当吊杆长度较大时,非线性参数较小,结构的突变现象消失,产生"伪线性"性质。To consider the influence of substructure＇ s nonlinear driving force on the primary structure, an improved dynamic analytic model containing dynamic stiffness is presented, and it is solved by means of Lindstedt-Poincare method （ L - P）. Analysis of amplitude versus frequency based on arithmetic solution and catastrophe theory shows that small changes of the system parameters may cause remarkable changes of amplitude and amplitude catastrophic value of the system response. It means that the response behaviors of the system are very sensitive to the variation of system parameters. The longer the suspender, the smaller the nonlinear parameter, and the catastrophic behavior of the system disappears and the pseudo-linear behavior exhibits.

关 键 词：悬挂结构 动态刚度 驱动力 突变 动力响应 

分 类 号：TU351[建筑科学—结构工程] P315.95[天文地球—地震学]