Solution for time-dependent resilience in the presence of gradual deterioration of performance

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2024-09-23 DOI:10.1016/j.apm.2024.115716

Cao Wang

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引用次数: 0

Abstract

In this paper, a closed-form method is developed for the evaluation of time-dependent resilience (so named as it is a function of the service time of interest) of an aging object (e.g., a structure or system). These structures and systems often suffer from the deterioration of performances in a harsh service environment, causing the decline of serviceability. They are thus expected to be sufficiently resilient during their service lives, i.e., to have the ability to withstand disruptions to their performances. The proposed method takes into account the uncertainty associated with the performance deterioration process, the availability of resources that support the performance recovery, and the impact of a changing environment. The accuracy and improved efficiency of the proposed method are demonstrated through three examples. It is also shown through sensitivity analysis that the impact of a changing environment, and the availability of recovery-supporting resources play an essential role in the time-dependent resilience. The proposed resilience method can also be used to efficiently guide the design of new structures that meet predefined resilience goals.

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性能逐渐恶化时随时间变化的弹性解决方案

本文开发了一种闭式方法，用于评估老化物体（如结构或系统）随时间变化的复原力（因其是相关服务时间的函数而得名）。这些结构和系统在恶劣的使用环境中往往会出现性能退化，导致可用性下降。因此，人们希望这些结构和系统在其使用寿命期间具有足够的弹性，即能够承受性能中断。所提出的方法考虑到了与性能下降过程相关的不确定性、支持性能恢复的资源的可用性以及不断变化的环境的影响。通过三个实例展示了所提方法的准确性和改进后的效率。通过敏感性分析还表明，环境变化的影响和支持恢复的资源的可用性对随时间变化的恢复能力起着至关重要的作用。建议的复原力方法还可用于有效指导新结构的设计，以满足预定义的复原力目标。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.