基于参数化时频分析的非线性振动系统参数辨识

邓杨; 彭志科; 杨扬; 张文明; 孟光

doi:10.6052/0459-1879-13-125

基于参数化时频分析的非线性振动系统参数辨识

doi: 10.6052/0459-1879-13-125

上海交通大学机械系统与振动国家重点实验室, 上海 200240

基金项目: 国家杰出青年科学基金(11125209)和国家自然科学基金(51121063, 11311130116, 11322215)资助项目.

详细信息

通讯作者:
彭志科，教授，主要研究方向：非线性振动理论及方法、信号处理与状态监控、机械结构系统故障诊断。E-mail：z.peng@sjtu.edu.cn

中图分类号: O322
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出版历程
- 收稿日期: 2013-07-05
- 修回日期: 2013-09-10
- 刊出日期: 2013-11-18

IDENTIFICATION OF NONLINEAR VIBRATION SYSTEMS BASED ON PARAMETRIC TFA

State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China

Funds: The project was supported by the National Outstanding Youth Science Fund Project (11125209) and the National Natural Science Foundation of China (51121063, 11311130116, 11322215).

摘要

摘要: 利用多项式调频小波变换对一类非线性系统的输出响应的瞬时特性进行了提取，结合FREEVIB和FORCEVIB方法中瞬态模态参数的算法，得到了能直观反应系统非线性特性的骨架线和阻尼系数曲线，并且通过拟合辨识出的系统平均化的非线性弹性力/阻尼力，对非线性振动系统的具体参数进行了识别和估计。通过数值仿真验算方法有效，而且具有精度高、抗噪能力强等优点。
- 非线性系统辨识 /
- 多项式调频小波变换 /
- 非线性振动系统 /
- 对称非线性 /
- 非平稳信号
Abstract: In this paper, we used the technique of the polynomial chirplet transform (PCT) to extract the instantaneous characteristics of the output response of the nonlinear system. Combined with estimation methods of instantaneous parameters in the PREEVIB and FROCEVIB methods, we acquired the back-bone curve and damping curve which reflects nonlinearities of the system. Then based on fitting of the identified average nonlinear characteristic forces, the specific parameters can be obtained. Numerical simulations results validate the effectiveness of this method, and it has advantages on high accuracy and good tolerance to noise.
- nonlinear system identification /
- polynomial chirplet transform /
- nonlinear vibration system /
- symmetric nonlinearity /
- non-stationary signal

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参考文献(6)

窦苏广,叶敏,张伟. 基于增量谐波平衡的参数系统非线性识别法. 力学学报,2010,42(2):332-336(Dou Suguang, Ye Min, Zhang Wei. Nonlinearity system identification method with parametric excitation based on the incremental harmonic balance method. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 332-336 (in Chinese))

苏鸾鸣,叶敏. 高维非线性振动系统参数识别. 力学学报,2012,44(2):425-436(Su Luanming, Ye Min. Parametric identification for high-dimensional nonlinear vibration system. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 425-436 (in Chinese))

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