基于小波变换的等价线性化方法及分析

提出了基于小波的等价线性化方法．并同传统的等价线性化方法进行了比较．小波分析跟传统的等价线性化方法结合起来，可将一个非线性系统转化成一个时变的线性系统．在实验中．采用了连续小波变换和离散的小波变换．实验结果表明：和传统的等价线性化方法比较．提出的新方法解决非线性问题更有效．可广泛地应用于各种非线性系统．进行由随机振动信号激励的非线性系统的分析。

An Equivalent Linearization Method Based on Wavelet Transformation

An equivalent linearization method based on wavelet transformation is represented,and compared with the traditional equivalent linearization technique.It is possible to combine wavelet analysis and the well-known equivalent linearization method,and transform non-linear system to linearization.In this experiments,continuous and discrete wavelet transforms are applied.The experimental results show that:in comparison to the traditional equivalent linearization method,the new way given in this paper can solve non-linearity problem effectively,it can be widely applied in a variety of non-linearity system,and a non-linearity system analysis excited by random vibration signal is proceeded.