A refined TMCMC algorithm for adaptive model updating for the probabilistic analysis of complex engineering structures

IF 6.3 1区 工程技术 Q1 ENGINEERING, CIVIL
Yu-Xiao Wu , De-Cheng Feng , Shi-Zhi Chen
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引用次数: 0

Abstract

Modelling complex engineering structures involves numerous parameters that are difficult to determine. Many uncertainties in the model parameters cannot be resolved through standards and experiments alone, necessitating model updating methods. The Bayesian model updating method is one of the most popular approaches for this purpose; and it has led to the development of numerous improved algorithms. However, the traditional Bayesian model updating algorithms are time-consuming and may not always yield the most likely posterior distributions of the model parameters in engineering applications. Therefore, this paper introduces a refined transitional Markov chain Monte Carlo (rTMCMC) algorithm based on the TMCMC algorithm and improved TMCMC (iTMCMC) algorithm. The rTMCMC algorithm is an adaptive Bayesian model updating method designed for engineering applications; it can adaptively find the most likely posterior distributions of model parameters without increasing the computation time. The efficiency of the rTMCMC algorithm is validated via a numerical example, which compares it with the TMCMC and iTMCMC algorithms. Finally, two examples at both the component and structural levels, updated by the rTMCMC algorithm, and compared with the iTMCMC algorithm, are presented, demonstrating the effectiveness of the rTMCMC algorithm in engineering applications.
一种用于复杂工程结构概率分析自适应模型更新的改进TMCMC算法
复杂工程结构的建模涉及许多难以确定的参数。模型参数中的许多不确定性仅通过标准和实验是无法解决的,需要采用模型更新的方法。贝叶斯模型更新方法是最常用的方法之一;它还导致了许多改进算法的发展。然而,在工程应用中,传统的贝叶斯模型更新算法耗时长,且不一定能得到最可能的模型参数后验分布。因此,本文在TMCMC算法和改进的TMCMC (iTMCMC)算法的基础上,提出了一种改进的过渡马尔可夫链蒙特卡罗(rTMCMC)算法。rTMCMC算法是一种针对工程应用而设计的自适应贝叶斯模型更新方法;该方法可以在不增加计算时间的情况下自适应地找到模型参数最可能的后验分布。通过数值算例验证了rTMCMC算法的有效性,并将其与TMCMC和iTMCMC算法进行了比较。最后,给出了rTMCMC算法在构件和结构层面更新的两个实例,并与iTMCMC算法进行了比较,验证了rTMCMC算法在工程应用中的有效性。
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
Structural Safety
Structural Safety 工程技术-工程:土木
CiteScore
11.30
自引率
8.60%
发文量
67
审稿时长
53 days
期刊介绍: Structural Safety is an international journal devoted to integrated risk assessment for a wide range of constructed facilities such as buildings, bridges, earth structures, offshore facilities, dams, lifelines and nuclear structural systems. Its purpose is to foster communication about risk and reliability among technical disciplines involved in design and construction, and to enhance the use of risk management in the constructed environment
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