【摘要】 将快速傅里叶变换(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。更多还原

【Abstract】 The fast Fourier transform(FFT) and the harmonic balance nonlinearity identification technique were applied in parameter identification of nonlinear system under parametric excitation.As an example of numerical simulation,the parameters of a Mathieu-Duffing equation were identified by use of periodic,double periodic or chaotic responses.The results indicate that the proposed method is not only precise and prompt,but also effective for the system identification problem in the case of non-periodic responses.更多还原