基于谐波平衡的参激系统非线性参数识别频域法

振动与冲击 ›› 2009, Vol. 28 ›› Issue (12) : 123-127.

论文

窦苏广; 叶敏

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Nonlinear Identification in the Frequency Domain for parametric excitation System based on the harmonic balance principle

Suguang Dou; Min Ye

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文章历史 +

摘要

将快速傅立叶变换（FFT）与谐波平衡非线性参数识别法相结合应用于非线性参数激励系统的参数识别。通过数值模拟，研究了Mathieu-Duffing方程在周期、倍周期和混沌响应下的参数识别，以及误差分析。结果表明其不仅识别结果精度高，而且速度快，并能有效地解决系统在非周期响应状态下的参数识别问题。

Abstract

The Fast Fourier Transform (FFT) and the harmonic balance nonlinearity identification were applied for the parametric identification of nonlinear system with parameter excitation. the error analysis and the parameter identification for Mathieu-Duffing equation with periodic, period-doubling and chaotic responses were studied by using the numerical simulation. The results indicate that the parameter identification using the proposed method is not only precise and prompt, but also effective for the system operation in non-period state.

导出引用

窦苏广;叶敏. 基于谐波平衡的参激系统非线性参数识别频域法[J]. 振动与冲击, 2009, 28(12): 123-127

Suguang Dou;Min Ye . Nonlinear Identification in the Frequency Domain for parametric excitation System based on the harmonic balance principle[J]. Journal of Vibration and Shock, 2009, 28(12): 123-127