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系统模态参数辨识的小波变换方法

徐亚兰;陈建军;胡太彬   

  1. (西安电子科技大学 机电工程学院, 陕西 西安 710071)

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2004-04-20 发布日期:2004-04-20

Modal parameters identification using the wavelet transform

XU Ya-lan;CHEN Jian-jun;HU Tai-bin

  

  1. (School of Mechano-electronic Engineering, Xidian Univ., Xi'an 710071, China)
  • Received:1900-01-01 Revised:1900-01-01 Online:2004-04-20 Published:2004-04-20

摘要: 文中分析了在众多小波基函数中Morlet小波更适合对动态结构系统进行模态分析的原因,结合Morlet小波的性质和结构系统对脉冲响应信号的特性,构造了一小波族,实现了利用Morlet小波变换对多自由度系统进行模态解耦和对时变系统进行模态参数辨识的方法.算例的数值仿真结果表明文中方法的正确性和有效性.

关键词: 多自由度系统, 时变系统, 模态解耦, 模态参数辨识, 小波变换

Abstract: The paper introduces a method for modal analysis using the wavelet transform, and discusses the possibilities of teh uncoupling of the system modal as well as the identification of time-varying parameters using the wavelet transform. In addition, the reasons why the Morlet wavelet is attractive in analyzing signals generated by dynamical systems is given, although there are a multitude of wavelets that could be used. Finally, based on the characteristics of transient responses and the Morlet wavelet, a family of wavelet functions is introduced and used in the simulation of modal analysis. The results are straightforward and satisfactory.

Key words: system of multidegree-of-freedom, time-varying system, modal uncoupling, modal parameters identification, wavelet transform

中图分类号: 

  • O329
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