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本文运用连续小波变换对时不变系统进行参数识别。首先对激励和在该激励作用下系统的响应作连续小波变换,利用连续小波的局部化特性将系统的运动方程展开为一个仅含有加速度响应和外部激励的代数方程,然后将测得的加速度响应信号和外部激励信号的连续小波变换代入该代数方程中,得到一系列包含系统质量、阻尼及刚度参数的线性方程组。通过方程组的求解得到系统参数,最后采用了一个仿真算例来验证该识别方法。
In this paper, continuous wavelet transform is used to identify parameters of time invariant system. Firstly, the continuous wavelet transform is applied to the excitation and the response of the system under the excitation. The localization of the continuous wavelet is used to expand the system’s motion equation to an algebraic equation that contains only the acceleration response and the external excitation. The measured acceleration response A continuous wavelet transform of signal and external excitation signal is substituted into the algebraic equation to obtain a series of linear equations containing the parameters of system mass, damping and stiffness. The system parameters are obtained by solving the equations, and finally a simulation example is used to verify the identification method.