Journal ArticleDOI
Stochastic model updating: Part 1—theory and simulated example
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In this article, the theory of stochastic model updating using a Monte-Carlo inverse procedure with multiple sets of experimental results is explained and then applied to the case of a simulated three degree-of-freedom system, which is used to fix ideas and also to illustrate some of the practical limitations of the method.About:
This article is published in Mechanical Systems and Signal Processing.The article was published on 2006-10-01. It has received 151 citations till now. The article focuses on the topics: Stochastic modelling & Finite element method.read more
Citations
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Journal ArticleDOI
Dealing with uncertainty in model updating for damage assessment: A review
TL;DR: 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.
Journal ArticleDOI
Perturbation methods for the estimation of parameter variability in stochastic model updating
TL;DR: In this paper, the problem of model updating in the presence of test-structure variability is addressed and two perturbation methods are developed for the estimation of the first and second statistical moments of randomised updating parameters from measured variability in modal responses (e.g. natural frequencies and mode shapes).
Journal ArticleDOI
Interval model updating with irreducible uncertainty using the Kriging predictor
TL;DR: In this paper, the Kriging predictor is chosen as the meta-model and is found to be capable of predicting the regions of input and output parameter variations with very good accuracy, which enables the use of updating parameters that are difficult to use by conventional correction of the finite element model.
Journal ArticleDOI
Structural Dynamic Model Updating Techniques: A State of the Art Review
Shankar Sehgal,Harmesh Kumar +1 more
TL;DR: In this article, the authors present a review of structural dynamic model updating techniques, starting with a tutorial introduction of basic concepts of model updating, the paper reviews direct and iterative techniques of update along with their applications to real life systems.
Journal ArticleDOI
An improved perturbation method for stochastic finite element model updating
TL;DR: In this paper, an improved perturbation method is developed for the statistical identification of structural parameters by using the measured modal parameters with randomness, which enables structural design and analysis, damage detection, condition assessment, and evaluation in the framework of probability and statistics.
References
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Book
Stochastic Finite Elements: A Spectral Approach
Roger Ghanem,Pol D. Spanos +1 more
TL;DR: In this article, a representation of stochastic processes and response statistics are represented by finite element method and response representation, respectively, and numerical examples are provided for each of them.
Book
Methods of multivariate analysis
TL;DR: In this article, the authors describe and display multivariate data, characterizing and displaying Multivariate Data, Characterizing and Displaying Multivariate data and characterising and displaying multivariate Data.
Book
Finite Element Model Updating in Structural Dynamics
TL;DR: A comparison of Numerical Data with Test Results and Iterative Methods Using Modal Data for Model Updating shows that the former is more accurate than the latter.
Journal ArticleDOI
Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion
Albert Tarantola,Bernard Valette +1 more
TL;DR: In this article, a general definition of the nonlinear least squares inverse problem is given, where the form of the theoretical relationship between data and unknowns may be general (in particular, nonlinear integrodierentia l equations).
Journal ArticleDOI
Model Updating In Structural Dynamics: A Survey
TL;DR: It is the authors' hope that this work will prove to be of value, especially to those who are getting acquainted with the research base and aim to participate in the application of model updating in industry, where a pressing need exists.