Resilience analysis: a mathematical formulation to model resilience of engineering systems
Resilience analysis: a mathematical formulation to model resilience of engineering systems
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DOI：
10.1080/23789689.2017.1345257
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发表时间：
2018-04
影响因子：
5.9
通讯作者：
Neetesh Sharma;Armin Tabandeh;P. Gardoni
中科院分区：
文献类型：
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作者：
Neetesh Sharma;Armin Tabandeh;P. Gardoni
一个系统的弹性与其承受压力、适应和从中断中快速恢复的能力有关。弹性分析的两个重要挑战是：（1）量化与给定恢复曲线相关的弹性;（2）开发恢复过程的严格数学模型。为了量化弹性，提出了一种数学方法，系统地描述了恢复曲线的部分描述符，称为弹性指标。拟议的弹性指标有简单和明确的解释，他们的定义是一般性的，使他们能够表征与任何恢复曲线的弹性。本文还介绍了一种基于可靠度的损伤水平的定义，这是非常适合于概率回弹分析。对于恢复建模，提出了一个随机公式，模型的恢复活动和潜在的破坏性冲击，这可能发生在恢复过程中，对系统状态的影响。为了说明，建议的配方是用于恢复力分析的钢筋混凝土（RC）桥梁修复纤维增强聚合物。
Abstract The resilience of a system is related to its ability to withstand stressors, adapt, and rapidly recover from disruptions. Two significant challenges of resilience analysis are to (1) quantify the resilience associated with a given recovery curve; and (2) develop a rigorous mathematical model of the recovery process. To quantify resilience, a mathematical approach is proposed that systematically describes the recovery curve in terms of partial descriptors, called resilience metrics. The proposed resilience metrics have simple and clear interpretations, and their definitions are general so that they can characterize the resilience associated with any recovery curve. This paper also introduces a reliability-based definition of damage levels which is well-suited for probabilistic resilience analysis. For the recovery modeling, a stochastic formulation is proposed that models the impact of recovery activities and potential disrupting shocks, which could happen during the recovery, on the system state. For illustration, the proposed formulation is used for the resilience analysis of a reinforced concrete (RC) bridge repaired with fiber-reinforced polymer.