考虑空间效应的非线性结构主共振分析  

Primary resonance of nonlinear structures considering spatial effect

作　　者：姜忻良[1] 骆兰月[1] 

机构地区：[1]天津大学建筑工程学院,天津300072

出　　处：《地震工程与工程振动》2003年第3期68-73,共6页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金(50278063)

摘　　要：本文针对考虑空间效应非对称刚度的单层结构,利用能量法得到了结构水平侧移和扭转相耦合的振动方程,采用多尺度法研究了侧移刚度和扭转刚度之间有某一关系时的主共振,分析了结构主共振的定常解并且讨论了其稳定性,通过算例分析得到了考虑空间效应时结构的一些有益的结论。In this paper, the structural dynamical behavior of nonsymmetrical stiffness is studied in the case of considering spatial effect. The Lagrange equation is used to obtain the nonlinear coupling vibration equation of horizontal motion and torsional motion. The perturbation analysis is used to study the primary resonance, where there is certain relation between horizontal stiffness and torsional stiffness. The steady state solution of the primary resonance is obtained, and the stability of solution is discussed. Some helpful conclusions are drawn through the analyses of numerical example.

关 键 词：空间效应 非线性结构 非对称刚度 能量法 主共振 侧移刚度 扭转刚度 结构动力分析 

分 类 号：TU311.3[建筑科学—结构工程] TU352.1