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考虑非对称效应的非线性结构超谐共振与亚谐共振
引用本文:姜忻良,骆兰月.考虑非对称效应的非线性结构超谐共振与亚谐共振[J].地震工程与工程振动,2003,23(6):50-56.
作者姓名:姜忻良  骆兰月
作者单位:天津大学建筑工程学院,天津,300072
基金项目:国家自然基金资助项目(50278063).
摘    要:本文将考虑空间效应非对称刚度的单层结构简化为三个自由度体系,用多尺度法研究了体系在强激励下的超谐共振与亚谐共振时的动力行为,通过算例分析得到一些不同于线性结构的结论,为结构非线性抗震分析提供了途径。

关 键 词:非对称效应  非线性结构  超谐共振  亚谐共振  空间效应
文章编号:1000-1301(2003)06-0050-07

Superharmonic resonance and subharmonic resonance of nonlinear structures considering nonsymmetrical effect
JIANG Xin-liang,LUO Lan-yue.Superharmonic resonance and subharmonic resonance of nonlinear structures considering nonsymmetrical effect[J].Earthquake Engineering and Engineering Vibration,2003,23(6):50-56.
Authors:JIANG Xin-liang  LUO Lan-yue
Abstract:In this paper, the structure with nonsymmetrical stiffness is simplified to a three-degrees-of-freedow system for considering spatial effect. The perturbation analysis is used to study the conditions that give rise to superharmonic resonance and subharmonic resonance. Then the nonlinear dynamical behavior is analyzed when the superharmonic resonance or the subharmonic resonance occurs. Some conclusions different from linear structures have been drawn through the analyses of numerical example.
Keywords:nonlinearity  superharmonic resonance  subharmonic resonance  nonsymmetry  spatial effect
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