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Analytical evaluation of structural component limit state probabilities

机译：结构构件极限状态概率的分析评估

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摘要

Probabilistic seismic assessment requires extensive computational effort resulting from variability both in input ground motions and mechanical properties. Nonetheless, such methodologies are of considerable importance, namely for pre-earthquake disaster planning or development of retrofitting programs. A framework for the analytical definition of closed form expressions for exceedance probabilities of structural component limit states, defined by limit values of structural response parameters, is proposed herein. The definition of these expressions is based on the probabilistic representation of the ground motion intensity and on the establishment of suitable expressions characterizing the evolution of structural demand with increasing earthquake intensity. Distinction is made between deformation-based and force-based structural parameters in the definition of such relations. Within the proposed framework, the limit states are defined by single deterministic thresholds of structural response quantities at the component level, as defined in structural codes. Different approaches are also discussed to account for the randomness of the mechanical properties and ground motion input within the proposed methodology. An application of the assessment of different limit state probabilities of members from a reinforced concrete building is presented, for which limit states and limit state capacities are defined according to the upcoming Part 3 of the Eurocode 8. Although the presented application only deals with member chord rotation and shear force limit state probabilities, the proposed methodology can be generalized to other deformation-based and force-based structural parameters.
机译：概率地震评估需要大量的计算工作，这要归因于输入地面运动和机械特性的变化。尽管如此，这样的方法还是非常重要的，即对于地震前的灾难规划或改造计划的开发。在此提出了一种结构定义极限状态的超出概率的封闭形式表达式的解析定义的框架，该极限形式由结构响应参数的极限值定义。这些表达式的定义是基于地震动强度的概率表示，以及建立适当的表达式来表征结构需求随地震强度的变化而变化的。在这种关系的定义中，需要区分基于变形的结构参数和基于力的结构参数。在提议的框架内，极限状态由结构级别上的结构级别的结构响应量的单个确定性阈值定义。还讨论了不同的方法来解决所提出的方法中机械性能和地面运动输入的随机性。提出了一种评估钢筋混凝土建筑构件的不同极限状态概率的应用，其中根据欧洲规范8的第3部分定义了极限状态和极限状态承载力。尽管提出的应用仅处理构件弦旋转和剪切力限制状态的概率，可以将所提出的方法推广到其他基于变形和基于力的结构参数。

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