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应用小波变换识别结构的非线性特性

Identifying Nonlinear character of Structure Using Wavelet Transform

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【作者】 王超任伟新黄天立

【Author】 Chao Wang Wei-xin Ren Tian-li Huang (School of Civil Engineer and Architecture,Central South University,Changsha,410075)

【机构】 中南大学土木建筑学院

【摘要】 土木工程结构在长期运营过程中,受到各种随机荷载的作用会发生累积损伤而表现出非线性特性。本文考虑多自由度非线性结构自由响应信号,进行连续复Morlet小波变换,运用动态规划的方法提取出小波变换脊线,识别出结构的瞬时特征参数(瞬时频率和瞬时振幅),根据特征参数间的关系得到非线性结构的骨架曲线,从而识别出结构的非线性类型。最后通过一个具有非线性刚度的两自由度剪切型建筑结构的数值模拟验证了该方法的有效性。

【Abstract】 During the long time operation,the civil engineering structure will cumulate damage under all kinds of stochastic load and exhibit nonlinear character,a method to identify the nonlinear character of structure was presented.Firstly,a free response signal of MDOF nonlinear structure was processed by continuous complex Morlet wavelet transform,its wavelet ridges could be extracted using dynamic optimization method,and then the instantaneous character parameters,such as instantaneous frequency and amplitude,could be identified.According to the relationship among the parameters,the skeleton curve of nonlinear structure could be obtained,so the nonlinear type of structure was identified.At last,the effectiveness and accuracy of the addressed method was validated via a numerical simulation of a two DOF building model with nonlinear stiffness.

  • 【会议录名称】 随机振动理论与应用新进展——第六届全国随机振动理论与应用学术会议论文摘要集
  • 【会议名称】第六届全国随机振动理论与应用学术会议
  • 【会议时间】2008-05
  • 【会议地点】中国天津
  • 【分类号】TU317
  • 【主办单位】中国振动工程学会随机振动专业委员会
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