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地震作用下结构非线性响应的突变分析
引用本文:许强,黄润秋.地震作用下结构非线性响应的突变分析[J].岩土工程学报,1997,19(4):25-29.
作者姓名:许强  黄润秋
作者单位:成都理工学院工程地质研究所;
摘    要:地震是一种复杂的振动过程。现有的动力分析法是把振动系统当作弹性体,其结果往往不能较好地解释地震过程中建筑物破坏所表现出的某些复杂现象,例如突跳和滞后效应,主要原因是未考虑振动系统的非线性特性。本文对现有的动力分析模型作了改进,引入了非线性作用项,并用突变理论分析方法对改进后的模型进行分析,得出有意义的结论。本文所提供的分析方法和结果同样也适用于解释地震作用下地基土的振动特性

关 键 词:突变理论  动力分析法  杜芬方程  非线性响应  共振  

Catastrophic Analysis of Nonlinear Response of Structure Under Earthquake
Xu Qiang,Huang Runqiu.Catastrophic Analysis of Nonlinear Response of Structure Under Earthquake[J].Chinese Journal of Geotechnical Engineering,1997,19(4):25-29.
Authors:Xu Qiang  Huang Runqiu
Affiliation:Chengdu Institute of Technology Chengdu 610059
Abstract:Earthquake is a kind of complex vibratory process. At present, oscillatory system is generally regarded as an elastic body in dynamic analytic methods,so its results can not well been shown when buildings failure in the course of earthquake, such as suddenly jumping and hysteresis effect.Its essential reason is that it neglects the nonlinear characteristics of structures.To consider the nonlinear oscillatory features, an improved dynamic analytic model is presented , and it is studied deepgoingly with catastrophe theory. Some useful conclusions are drawn.
Keywords:catastrophe theory  dynamic analytic method  Duffing′s equation  nonlinear response  resonance  
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