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地基-非线性结构相互作用空间效应的超谐和亚谐共振研究
引用本文:姜忻良,郑希明.地基-非线性结构相互作用空间效应的超谐和亚谐共振研究[J].世界地震工程,2006,22(3):70-76.
作者姓名:姜忻良  郑希明
作者单位:天津大学,建筑工程学院,天津,300072
摘    要:建立了考虑空间效应的无质量基础-地基-结构相互作用模型,将模型简化为三个自由度体系,得到了考虑结构水平侧移和扭转位移相耦合的振动方程,用多尺度法研究了体系在强激励下的超谐共振和亚谐共振行为,通过算例分析得到了一些不同于线性体系的结论,为结构非线性分析提供了更深刻的理论依据。

关 键 词:非线性  相互作用  超谐共振  亚谐共振  空间效应  耦合
文章编号:1007-6069(2006)03-0070-07
收稿时间:2005-12-22
修稿时间:2006-05-18

Research on superharmonic resonance and subharmonic resonance of nonlinear soil structure interaction system considering spatial effect
JIANG Xin-liang,Zheng Xi-ming.Research on superharmonic resonance and subharmonic resonance of nonlinear soil structure interaction system considering spatial effect[J].World Information On Earthquake Engineering,2006,22(3):70-76.
Authors:JIANG Xin-liang  Zheng Xi-ming
Institution:School of Constructional Engineering, Tianjin University, Tianjin 300072
Abstract:In this paper,one massless foundation-soil-structure interaction model considering spatial effect is established,and the model is simplified as a three-freedom system,then the nonlinear coupling equation of horizontal motion and torsion motion for the simplified system is gained.The superharmonic resonance and subharmonic resonance behavior of the soil-structure interaction system is studied using perturbation method.Some conclusions which are different from linear systems have been drawn through the analyses of numerical example.More profound theoretical basis is provided for seismic analysis of nonlinear structures.
Keywords:nonlinear  interaction  superharmonic resonance  subharmonic resonance  spatial effect  coupling  
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