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Seismic risk analysis for reinforced concrete structures with both random and parallelepiped convex variables

机译：随机和平行六面凸变量的钢筋混凝土结构的地震风险分析

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This article develops an improved seismic risk assessment formulation exhibiting both random and bounded uncertainties using a probability and parallelepiped convex set mixed model. Limit thresholds for different types of components are described via a probabilistic model. The distribution parameters of limit thresholds are originally treated by employing a multidimensional parallelepiped convex model, in which marginal intervals are utilised to represent scattering levels for the distribution parameters, while relevant angle are employed to express the correlation between uncertain distribution parameters. The structural responses, i.e., engineering demand parameters (EDPs), are considered as correlated random variables and are assumed to follow a multidimensional lognormal distribution. A performance limit state function, which allows considering the relationship between the EDPs and the corresponding limit thresholds, is employed to reflect the coexistence of both random and parallelepiped convex variables. The limit state function is mapped into the standard parameter space via a transformation technique. Then, the improved seismic risk formulation, characterised through a probability and parallelepiped convex mixed variables, can be derived with the combination of the seismic fragility function and the ground motion hazard curve. The main purpose is to illustrate that the performance limit states should be properly modeled as random and parallelepiped convex mixed variables rather than only random or deterministic quantities. A six-story reinforced concrete building designed according to Chinese codes are used to illustrate the proposed approach for constructing hazard curves. The interstory drift and the peak floor acceleration are the selected EDPs, calculated through incremental dynamic analysis. The results demonstrate that the calculated failure probabilities for different limit states in 50 years are found capable of meeting the requirements of Chinese seismic norms after the proposed seismic risk formulation is adopted.
机译：本文开发出一种改进的地震风险评估制剂，其使用概率和平行六面凸凸集合混合模型表现出随机和有界不确定性。通过概率模型描述不同类型组件的限制阈值。限位阈值的分布参数最初通过采用多维平行六面体凸模型处理，其中利用边际间隔来表示分布参数的散射水平，而采用相关角度来表达不确定分布参数之间的相关性。结构响应，即工程需求参数（EDP）被认为是相关的随机变量，并且假设遵循多维逻辑正式分布。用于考虑EDP和相应的限制阈值之间的关系的性能限制状态函数用于反映随机和平行六面凸变量的共存。通过变换技术将极限状态函数映射到标准参数空间中。然后，可以通过地震脆弱功能和地面运动危险曲线的组合来推导出具有概率和平行六面膜混合变量的改进的地震风险制剂。主要目的是说明性能限制状态应被适当地建模为随机和平行opipeed凸的混合变量，而不是仅随机或确定性数量。根据中文代码设计的六层钢筋混凝土建筑用于说明构建危险曲线的建议方法。颠覆漂移和峰底加速度是所选EDP，通过增量动态分析计算。结果表明，在采用拟议的地震风险制定后，发现能够满足中国地震规范的不同限额状态的计算失败概率。

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