This paper revisits a classical problem of stochastic load combination, in which the maximum load generated by combinations of various types of stochastic processes are analysed. This paper takes a fresh look at the combination of a renewal pulse with a homogeneous Poisson shock process, and proves that the problem can be transformed into an equivalent renewal process. This approach leads to an accurate solution for the distribution of maximum combined load in the form of an integral equation, which can be solved by a trapezoidal integration scheme. The proposed solution is accurate for all small and large load levels and time intervals, since this approach does not rely on any asymptotic arguments. This paper also analyses various assumptions and relative accuracies of popular approximations of the load combination problem reported in literature. The proposed formulation advances the understanding of the load combination problem and provides an accurate and original solution for an important problem of structural reliability analysis.

本文回顾了经典的随机载荷组合问题，其中分析了各种类型的随机过程的组合所产生的最大载荷。本文重新审视了更新脉冲与均匀泊松冲击过程的结合，并证明了该问题可以转化为等效的更新过程。这种方法可以以积分方程的形式为最大组合载荷的分布提供精确的解决方案，这可以通过梯形积分方案来解决。所提出的解决方案对于所有大小负载水平和时间间隔都是准确的，因为这种方法不依赖于任何渐近参数。本文还分析了文献中报道的荷载组合问题的流行近似的各种假设和相对精度。