混沌激励下振动系统的非线性参数识别

刘卫华 丁旺才 田海勇

振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 80-83.

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PDF(1130 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 80-83.
论文

混沌激励下振动系统的非线性参数识别

  • 刘卫华 丁旺才 田海勇
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PARAMETRIC IDENTIFICATION OF NONLINEARITYUSING CHAOTIC EXCITATION

  • Liu wei-hua Ding wang-cai Tian hai-yong
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摘要

本文对基于时-频相结合的非线性振动系统的参数识别问题进行了研究。首先建立含非线性参数单自由度振动系统的力学模型,将已知非线性系统产生的混沌响应作为该系统的激励, 假定其响应有若干不稳定的周期轨道组成,从混沌响应的状态空间中提取出近似周期轨道, 采用谐波平衡法识别出系统的参数,然后对识别出的参数进行误差分析。最后通过数值模拟,验证了混沌信号作为激励源对非线性系统进行参数识别的可行性。

Abstract

In this paper, the question about parametric identification of nonlinear vibrating system based on time-frequency combination is studied. Firstly , the mechanical model of a single-degree-of-freedom vibrating system with nonlinear parameter is established , and the chaotic response of a known nonlinear system is used as an excitation for parametric identification, it is assumed that the system consists of several unstable periodic orbits, the nearly periodic orbits are extracted from the state space of chaotic response based on recurrence property , and the harmonic balance identification method is used to identify the parameters of nonlinear system. And then the error of identified parameters are analysed. It is indicated that using chaotic signal as driving source for identifying the nonlinear system is feasible by numerical simulation.

关键词

混沌激励 非线性系统 谐波平衡识别法 参数识别

Key words

chaotic excitation / nonlinear system / harmonic balance identification method / parametric identification

引用本文

导出引用
刘卫华 丁旺才 田海勇. 混沌激励下振动系统的非线性参数识别[J]. 振动与冲击, 2009, 28(5): 80-83
Liu wei-hua Ding wang-cai Tian hai-yong. PARAMETRIC IDENTIFICATION OF NONLINEARITYUSING CHAOTIC EXCITATION[J]. Journal of Vibration and Shock, 2009, 28(5): 80-83
中图分类号: O322   

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