摘要：利用脊上连续小波变换系数的幅度和相位，从结构系统的自由衰减响应中辨识了弱非线性阻尼和刚度。提出了一种检测小波脊的新方法以消除连续小波变换幅度极值的频移。为了抑制边界效应，提出利用最小二乘拟合误差选择小波函数参数的优化算法。使用数值仿真和实验检验了辨识方法的精度。实验装置是一台高精度转动惯量测试仪。结果表明提出的方法能够准确的辨识结构中的弱非线性阻尼及刚度参数。

Abstract: Utilizing the amplitude and phase of continuous wavelet transform (CWT) coefficient on ridge, weak nonlinearities on damping and stiffness are identified from the free decay response of a structural system in this paper. A new algorithm for the detection of ridge is introduced to eliminate the frequency-shift of CWT amplitude extreme. In order to minimize end-effect, the parameter selection of wavelet function is performed by using an optimization technique based on the fitting error of least squares. Both numerical and experimental studies are performed to demonstrate the proposed procedure and verify its accuracy. The experimental system is a high accuracy instrument for measuring moment of inertia. The results show the method works very well in identifying weak nonlinearities on damping and stiffness of structures.