为了在频域内解决限带白噪声载荷作用下结构的疲劳寿命估算问题,提出了限带白噪声过程的雨流幅值分布模型,并给出了参数估算方法。假设雨流幅值可以用双参数Weibull分布来描述,形状参数与带宽系数呈线性关系;尺度参数与均方根呈比例关系;比例因子与不规则因子呈线性关系。数值模拟结果表明:Weibull分布能够很好地描述限带白噪声过程的雨流幅值分布,分布参数能够根据随机过程的谱参数计算得出。
This article presents a model of rainflow amplitude distribution of a limited band white noise process and an estimation method of parameters in an attempt to provide fatigue life prediction for a structure under limited band white noise loading in the frequency domain. The rainflow amplitude was assumed to conform to bi-parameter Weibull distribution; the shape parameter is linear with the bandwidth coefficient; the scale parameter exhibits a proportionate relationship with the root mean square, and the scale factor is linear with the irregular factor. The results of numerical simulation show that Weibull distribution can very well describe the rainflow amplitude distribution of a limited band white noise process and that the distribution parameters can be calculated using the spectral parameters.