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A Probabilistic Displacement-based Vulnerability Assessment Procedure for Earthquake Loss Estimation

机译:基于概率位移的地震损失估计脆弱性评估程序

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摘要

Earthquake loss estimation studies require predictions to be made of the proportion of a building class falling within discrete damage bands from a specified earthquake demand. These predictions should be made using methods that incorporate both computational efficiency and accuracy such that studies on regional or national levels can be effectively carried out, even when the triggering of multiple earthquake scenarios, as opposed to the use of probabilistic hazard maps and uniform hazard spectra, is employed to realistically assess seismic demand and its consequences on the built environment. Earthquake actions should be represented by a parameter that shows good correlation to damage and that accounts for the relationship between the frequency content of the ground motion and the fundamental period of the building; hence recent proposals to use displacement response spectra. A rational method is proposed herein that defines the capacity of a building class by relating its deformation potential to its fundamental period of vibration at different limit states and comparing this with a displacement response spectrum. The uncertainty in the geometrical, material and limit state properties of a building class is considered and the first-order reliability method, FORM, is used to produce an approximate joint probability density function (JPDF) of displacement capacity and period. The JPDF of capacity may be used in conjunction with the lognormal cumulative distribution function of demand in the classical reliability formula to calculate the probability of failing a given limit state. Vulnerability curves may be produced which, although not directly used in the methodology, serve to illustrate the conceptual soundness of the method and make comparisons with other methods.
机译:地震损失估算研究要求根据特定地震需求,对落入离散破坏范围内的建筑物类别的比例进行预测。这些预测应该使用结合了计算效率和准确性的方法进行,这样即使在触发多个地震场景时,也可以有效地进行区域或国家层面的研究,这与使用概率危险图和统一危险谱相反用于实际评估地震需求及其对建筑环境的影响。地震作用应由一个参数表示,该参数应显示与破坏的良好相关性,并应说明地震动的频率含量与建筑物基本周期之间的关系;因此,最近提出了使用位移响应谱的建议。本文提出了一种合理的方法,该方法通过将建筑物的变形潜力与其在不同极限状态下的基本振动周期相关联,并将其与位移响应谱进行比较来定义建筑物的能力。考虑建筑物类别的几何,材料和极限状态属性的不确定性,并且使用一阶可靠性方法FORM来生成位移容量和周期的近似联合概率密度函数(JPDF)。容量的JPDF可以与经典可靠性公式中的需求的对数正态累积分布函数结合使用,以计算未达到给定极限状态的概率。可能会产生脆弱性曲线,尽管该曲线未在方法中直接使用,但仍可用来说明该方法的概念合理性并与其他方法进行比较。

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