为研究小波变换在模态分析中的应用,并实验验证该方法的可行性,在小波分析良好的数值特性基础上.建立了基于系统自由响应信号连续小波变换的模态参数辨识方法.采用该方法进行仿真研究,仿真结果与理论值吻合.以悬臂梁为例进行实验研究,实验结果与理论计算结果吻合较好.尤其在阻尼比的识别上,相对误差在l%以下.仿真和实验研究表明,该方法计算简便.对比一般频域模态方法,该方法对模态参数识别更准确.
In order to study the application of continuous wavelet transform in modal analysis and validate it' s feasibility, a new modal parameter identification method was developed based on outstanding numerical character of wavelet transform. This method was used for simulation and the simulation result in accordance with the theoretical value. A cantilever beam was experimentally studied with this method and the result is consistent with theoretical result. This method is especially accurate in damping identification with the relative error less than 1% to theoretic values. The simulation and experiment show that this method has a character of simple calcuation. Compared with the normal frequency-domain modal analysis method, it is more exact in parameter identification.