索杆结构非线性地震反应分析的设计反应谱法  

Design Response Spectrum Method for Analyzing Nonlinear Seismic Response of Cable-Strut Structure

作　　者：相阳[1] 罗永峰[1] 沈祖炎[1] 

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《上海交通大学学报》2016年第11期1712-1718,共7页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金(51378379)资助项目

摘　　要：基于结构体系刚度概念,将索杆体系各主振型的荷载-位移关系表达为等效单自由度(ESDF)体系的受力-变形关系;将ESDF体系刚度表达为其位移的二次函数;运用随机等效线性化方法,将ESDF体系的非线性刚度等效为线性刚度ke,推导得出ke与ESDF体系位移响应d的关系式;联立刚度-位移格式的设计反应谱表达式及ke-d关系式,求解ke及d,得出整体结构地震反应.以六边形索杆结构为例,分别采用本文方法、时程分析法和线性振型叠加法计算结构位移响应,结果表明,本文方法所得结构位移值与时程分析值偏差仅为10.8%,精度明显高于线性振型叠加法.Based on the concept of structural＂system stiffness＂,the structural load-displacement relationship was expressed via the force-deformation relationships of the equivalent single degree of freedom（ESDF）systems for the dominating vibration modes.The stiffness of the ESDF system was simulated by aquadratic function of its deformation.The nonlinear stiffness of the ESDF system was replaced by the equivalent linear stiffness,ke,based on a stochastic equivalent linearization procedure.Then the relationship between keand the deformation of the ESDF system,d,was derived.The keand d were obtained by solving the simultaneous equations consisting of the aforementioned ke-drelationship and the stiffness-displacement response spectrum function,and,therefore,the overall seismic response of the structure was obtained.Taking a hexagon-shaped cable-strut structure as an example,the structural seismic responses were calculated by using the proposed method,the time history analysis method,and the linear modal superposition method.The results show that the proposed method can give approximate structural displacements with an average error of 10.8%relative to that given by the time history analysis,making the proposed method much more accurate than the linear modal superposition method.

关 键 词：索杆体系 非线性地震反应 等效线性化法 

分 类 号：TU394[建筑科学—结构工程]