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Reliability of structures to earthquake clusters

机译：结构对地震群的可靠性

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Recent literature about life-cycle models for earthquake resistant structures considers that damage accumulation and failure are possibly due to subsequent shocks occurring during the time period of interest. In fact, most of these models only consider the effect of mainshocks. On the other hand, it is well known that earthquakes occur in clusters in which the mainshock represents only the principal (e.g., prominent magnitude) event. Because there is a chance that aftershocks can also cause deterioration of structural conditions, it may be appropriate to include this effect in the life-cycle assessment. Recently, stochastic processes describing the occurrences of aftershocks and their effect on cumulative structural damage have been formalized. These can be employed to develop stochastic damage accumulation models for earthquake resistant structures, accounting for the cluster effect. In the paper, such a model is formulated with reference to simple elastic-perfectly-plastic single degree of freedom systems. Temporal distribution of mainshocks is modeled via a homogeneous Poisson process. Occurrence of aftershocks is modeled by means of non-homogeneous Poisson processes conditional to the characteristics of the triggering mainshock. Approximate closed-form solutions are derived for the reliability assessment under the two hypotheses that total damages produced by events pertaining to different clusters can be assumed to be independent and identically distributed gamma or inverse-Gaussian random variables. An application illustrates the implications of the model on the life-cycle assessment when compared to the case where the effect of damaging aftershocks is ignored.
机译：关于抗震结构的生命周期模型的最新文献认为，损伤的积累和破坏可能是由于在感兴趣的时间段内发生的后续冲击所致。实际上，大多数模型仅考虑主震的影响。另一方面，众所周知，地震发生在集群中，其中主震仅代表主要（例如，突出的震级）事件。由于余震还可能导致结构条件恶化，因此在生命周期评估中包括这种影响可能是适当的。最近，描述余震的发生及其对累积结构破坏的影响的随机过程已经正式化。这些可以用来建立抗震结构的随机损伤累积模型，并考虑集群效应。在本文中，这种模型是参照简单的弹性-完美塑性单自由度系统制定的。主震的时间分布是通过均匀的泊松过程进行​​建模的。余震的发生是通过非均匀的泊松过程来模拟的，该过程以触发主震的特征为条件。在以下两个假设下得出了近似的封闭形式解，用于可靠性评估：可以将与不同聚类有关的事件所产生的总损害假定为独立且分布均匀的伽马或逆高斯随机变量。与忽略破坏性余震影响的情况相比，一个应用程序说明了该模型对生命周期评估的影响。

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