基于小波分析的疲劳应力历程模拟

采用小波分析理论中的小波包变换，提出了一种基于小波分析的模拟疲劳应力的方法，用小波包变换对一个己存在的应力样本进行分解，建立了其小波包分解的结果和应力功率谱密度之间的关系，并分析了分解出的小波包系数的统计性质，用传统的Fourier方法和所提出的小波方法对同一个功率谱分别模拟了一个样本，结果表明，后者的随机更强，更接近于真实情况。

Simulation of Fatigue Stress History Based on Wavelet Analysis

A method to simulate fatigue stress history based on the wavelet packet transform, a special branch of the theory of wavelet analysis was presented. A stress history is decomposed using the wavelet packet transform firstly, and the relationship between the results of decomposition and the stress power spectrum is constructed. Then the statistical characters of wavelet packet coefficients obtained in decomposition are analyzed. Finally, two samples are simulated using the Fourier method and the wavelet method respectively from the same stress power spectrum. The results show that the latter has stronger random property, and access reality more.