IDENTIFICATION OF NONLINEAR VIBRATION SYSTEMS BASED ON PARAMETRIC TFA
-
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。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.
-
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)) Feldman M. Non-linear system vibration analysis using Hilbert transform Ⅰ.Free vibration analysis method 'freevib'. Mechanical Systems and Signal Processing, 1994, 8(2): 119-127 Feldman M. Non-linear system vibration analysis using Hilbert transform Ⅱ.Forced vibration analysis method 'forcevib'. Mechanical Systems and Signal Processing, 1994, 8(3): 309-318 Peng ZK, Meng G, Chu FL. Polynomial Chirplet Transform With Application to Instantaneous Frequency Estimation. IEEE Transactions on Instrumentation and Measurement, 2011, 60(9): 3222-3229 Henry KC, Douglas L. Instantaneous frequency estimation using an adaptive short-time fourier transform. IEEE proceedings of ASIL, 1996: 543-546 -

计量
- 文章访问数: 1288
- HTML全文浏览量: 57
- PDF下载量: 871
- 被引次数: 0