Abstract This paper investigates the variability of the fatigue damage caused by the randomness of a stationary Gaussian random loading. After reviewing some methods from the literature (e.g. Madsen et al., Low), the paper presents a Monte Carlo simulation study to compare such methods with results from time- and frequency-domain analyses. Best-fitting expressions are derived to relate the variability of the damage directly to bandwidth parameters of a PSD. Finally, the paper analyses the variability of the damage when computed from one or few time-histories. For both cases, confidence intervals are constructed to bound the expected damage; simulations confirm their correctness.

中文翻译：

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由于固定振动载荷的随机性引起的疲劳损伤的可变性

摘要 本文研究了由平稳高斯随机加载的随机性引起的疲劳损伤的可变性。在回顾了文献中的一些方法（例如 Madsen 等人，Low）之后，本文提出了一项蒙特卡罗模拟研究，以将这些方法与时域和频域分析的结果进行比较。导出最佳拟合表达式以将损伤的可变性直接与 PSD 的带宽参数相关联。最后，本文分析了从一个或几个时间历史计算时损坏的可变性。对于这两种情况，都构建了置信区间来限制预期的损害；模拟验证了它们的正确性。