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Dealing with uncertainty in model updating for damage assessment: A review

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TLDR
In this paper, a non-probabilistic fuzzy approach and a probabilistic Bayesian approach for model updating for non-destructive damage assessment is presented. But the model updating problem is an inverse problem prone to ill-posedness and ill-conditioning.
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This article is published in Mechanical Systems and Signal Processing.The article was published on 2015-05-01 and is currently open access. It has received 338 citations till now. The article focuses on the topics: Uncertainty quantification.

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A review of vibration-based damage detection in civil structures : from traditional methods to Machine Learning and Deep Learning applications

TL;DR: This paper aims to fulfill the gap by presenting the highlights of the traditional methods and provide a comprehensive review of the most recent applications of ML and DL algorithms utilized for vibration-based structural damage detection in civil structures.

An essay towards solving a problem in the doctrine of chances. [Facsimil]

Thomas Bayes
TL;DR: The probability of any event is the ratio between the value at which an expectation depending on the happening of the event ought to be computed, and the value of the thing expected upon it’s 2 happening.

Reference-based combined deterministic-stochastic subspace identification for experimental and operational modal analysis

TL;DR: The combined deterministic-stochastic subspace identification algorithm for the experimental modal analysis of mechanical structures is discussed and the main advantages of OMAX over OMA are that the modes that are excited by the artificial forces can be scaled to unity modal mass and that a higher number of modes can be identified.
Journal ArticleDOI

Review on the new development of vibration-based damage identification for civil engineering structures: 2010-2019

TL;DR: The progress in the area of vibration-based damage identification methods over the past 10 years is reviewed to help researchers and practitioners in implementing existing damage detection algorithms effectively and developing more reliable and practical methods for civil engineering structures in the future.
Journal ArticleDOI

Recent progress and future trends on damage identification methods for bridge structures

TL;DR: This poster presents a probabilistic procedure to characterize the response of various materials to high-temperature motions and its applications in civil engineering and oil and gas exploration.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI

Equation of state calculations by fast computing machines

TL;DR: In this article, a modified Monte Carlo integration over configuration space is used to investigate the properties of a two-dimensional rigid-sphere system with a set of interacting individual molecules, and the results are compared to free volume equations of state and a four-term virial coefficient expansion.
Book

Numerical Optimization

TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Book

A mathematical theory of evidence

Glenn Shafer
TL;DR: This book develops an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions.
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