The sensitivity method in finite element model updating: A tutorial

doi:10.1016/J.YMSSP.2010.10.012

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The sensitivity method in finite element model updating: A tutorial

Journal Article•DOI•

The sensitivity method in finite element model updating: A tutorial

John E. Mottershead¹, Michael Link², Michael I. Friswell³•Institutions (3)

University of Liverpool¹, University of Kassel², Swansea University³

01 Oct 2011-Mechanical Systems and Signal Processing (Academic Press)-Vol. 25, Iss: 7, pp 2275-2296

TL;DR: A basic introduction to the most important procedures of computational model updating is provided, including tutorial examples to reinforce the reader’s understanding and a large scale model updating example of a helicopter airframe.

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About: This article is published in Mechanical Systems and Signal Processing.The article was published on 2011-10-01. It has received 647 citations till now. The article focuses on the topics: Finite element method.

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Citations

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Journal Article•DOI•

Hierarchical Bayesian model updating for structural identification

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Iman Behmanesh¹, Babak Moaveni¹, Geert Lombaert², Costas Papadimitriou³•Institutions (3)

Tufts University¹, Katholieke Universiteit Leuven², University of Thessaly³

01 Dec 2015-Mechanical Systems and Signal Processing

TL;DR: In this paper, a probabilistic finite element (FE) model updating technique based on Hierarchical Bayesian modeling is proposed for identification of civil structural systems under changing ambient/environmental conditions.

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187 citations

Cites methods from "The sensitivity method in finite el..."

...The deterministic FE model updating methods are well established in the literature [6-9], with several successful applications to civil structures [10-16]....
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Journal Article•DOI•

A novel anomaly detection method based on adaptive Mahalanobis-squared distance and one-class kNN rule for structural health monitoring under environmental effects

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Hassan Sarmadi¹, Abbas Karamodin¹•Institutions (1)

Ferdowsi University of Mashhad¹

01 Jun 2020-Mechanical Systems and Signal Processing

TL;DR: The great novelty of the proposed AMSD-kNN method is to create a novel unsupervised learning strategy for SHM by a new multivariate distance measure and one-class kNN rule by finding sufficient nearest neighbors that guarantee the estimate of well-conditioned local covariance matrices.

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129 citations

Journal Article•DOI•

Structural Dynamic Model Updating Techniques: A State of the Art Review

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Shankar Sehgal¹, Harmesh Kumar¹•Institutions (1)

University Institute of Engineering and Technology, Panjab University¹

01 Sep 2016-Archives of Computational Methods in Engineering

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.

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Abstract: This paper presents 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 model updating along with their applications to real life systems. The main objective of this paper is to review the most widely applied model updating techniques so that beginners as well as practising engineers can appreciate, choose and then utilize the most suitable model updating technique for their customized application. Another objective is to highlight the current issues, applications and observations for further advancements in the field of model updating.

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129 citations

Journal Article•DOI•

Materials in machine tool structures

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Hans-Christian Möhring¹, Christian Brecher², Eberhard Abele³, Jürgen Fleischer⁴, Friedrich Bleicher⁵ - Show less +1 more•Institutions (5)

Otto-von-Guericke University Magdeburg¹, RWTH Aachen University², Technische Universität Darmstadt³, Karlsruhe Institute of Technology⁴, University of Vienna⁵

01 Jan 2015-CIRP Annals

TL;DR: This keynote paper presents the current state of the art with respect to materials applied in machine tool structures and reviews the correspondent scientific literature to give an overview and insight regarding material selection and exploitation for high performance, high precision and high efficiency machine tools.

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128 citations

Journal Article•DOI•

Frequency response functions of shape features from full-field vibration measurements using digital image correlation

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Weizhuo Wang¹, John E. Mottershead¹, Thorsten Siebert, Andrea Pipino²•Institutions (2)

University of Liverpool¹, Fiat Automobiles²

01 Apr 2012-Mechanical Systems and Signal Processing

TL;DR: In this paper, an adaptive geometric moment descriptor (AGMD) is proposed to extract shape features from a series of full-field transient responses under random excitation, and the obtained shape features are demonstrated to be succinct and efficient.

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125 citations

Cites methods from "The sensitivity method in finite el..."

...Validation of simulation models by comparison of predictions with experimental data is crucial to certify the fidelity of FE models [21,34,35]....
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References

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Book•

Solutions of ill-posed problems

[...]

Andreĭ Nikolaevich Tikhonov, Vasiliy Yakovlevich Arsenin

01 Jan 1977

8,009 citations

"The sensitivity method in finite el..." refers background in this paper

...Wy=I represents the classical Tikonov regularisation [25] used to solve ill conditioned systems of equations....
[...]

Book•

Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts,Theory and Applications

[...]

Michael A. Sutton¹, Jean-Jos Orteu, Hubert W. Schreier¹•Institutions (1)

University of South Carolina¹

26 Mar 2009

TL;DR: In this paper, a comprehensive overview of image correlation for shape, motion and deformation measurements is provided. But, the authors do not discuss the effect of out-of-plane motion on 2D measurements.

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Abstract: Image Correlation for Shape, Motion and Deformation Measurements provides a comprehensive overview of data extraction through image analysis. Readers will find and in-depth look into various single- and multi-camera models (2D-DIC and 3D-DIC), two- and three-dimensional computer vision, and volumetric digital image correlation (VDIC). Fundamentals of accurate image matching are described, along with presentations of both new methods for quantitative error estimates in correlation-based motion measurements, and the effect of out-of-plane motion on 2D measurements. Thorough appendices offer descriptions of continuum mechanics formulations, methods for local surface strain estimation and non-linear optimization, as well as terminology in statistics and probability. With equal treatment of computer vision fundamentals and techniques for practical applications, this volume is both a reference for academic and industry-based researchers and engineers, as well as a valuable companion text for appropriate vision-based educational offerings.

...read moreread less

2,454 citations

Book•

Finite Element Model Updating in Structural Dynamics

[...]

John E. Mottershead, Michael I. Friswell

31 Mar 1995

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.

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Abstract: Preface. 1. Introduction. 2. Finite Element Modelling. 3. Vibration Testing. 4. Comparing Numerical Data with Test Results. 5. Estimation Techniques. 6. Parameters for Model Updating. 7. Direct Methods Using Modal Data. 8. Iterative Methods Using Modal Data. 9. Methods Using Frequency Domain Data. 10. Case Study: an Automobile Body M. Brughmans, J. Leuridan, K. Blauwkamp. 11. Discussion and Recommendations. Index.

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2,177 citations

"The sensitivity method in finite el..." refers methods in this paper

...This process, usually referred to a mode pairing, may be achieved by carrying out a modal correlation using the modal assurance criterion (MAC) [3]....
[...]
...This procedurewas described in detail byNatke [1] and Friswell andMottershead [2,3] and in recent years has developed into a mature technology applied successfully for the correction of industrial-scale FE models....
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...Nelson’s method [3] has the advantage that only themode shape of interest is required....
[...]

Journal Article•DOI•

REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems

[...]

Per Christian Hansen¹•Institutions (1)

Technical University of Denmark¹

01 Mar 1994-Numerical Algorithms

TL;DR: The package REGULARIZATION TOOLS consists of 54 Matlab routines for analysis and solution of discrete ill-posed problems, i.e., systems of linear equations whose coefficient matrix has the properties that its condition number is very large, and its singular values decay gradually to zero.

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Abstract: The package REGULARIZATION TOOLS consists of 54 Matlab routines for analysis and solution of discrete ill-posed problems, i.e., systems of linear equations whose coefficient matrix has the properties that its condition number is very large, and its singular values decay gradually to zero. Such problems typically arise in connection with discretization of Fredholm integral equations of the first kind, and similar ill-posed problems. Some form of regularization is always required in order to compute a stabilized solution to discrete ill-posed problems. The purpose of REGULARIZATION TOOLS is to provide the user with easy-to-use routines, based on numerical robust and efficient algorithms, for doing experiments with regularization of discrete ill-posed problems. By means of this package, the user can experiment with different regularization strategies, compare them, and draw conclusions from these experiments that would otherwise require a major programming effert. For discrete ill-posed problems, which are indeed difficult to treat numerically, such an approach is certainly superior to a single black-box routine. This paper describes the underlying theory gives an overview of the package; a complete manual is also available.

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1,762 citations

Journal Article•DOI•

Model Updating In Structural Dynamics: A Survey

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John E. Mottershead¹, Michael I. Friswell¹•Institutions (1)

Aston University¹

22 Oct 1993-Journal of Sound and Vibration

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.

...read moreread less

1,520 citations

"The sensitivity method in finite el..." refers methods in this paper

...This procedure was described in detail by Natke [1] and Friswell and Mottershead [2,3] and in recent years has developed into a mature technology applied successfully for the correction of industrial-scale FE models....
[...]
...Contents lists available at ScienceDirect Mechanical Systems and Signal Processing 0888-32 doi:10.1 n Corr E-m journal homepage: www.elsevier.com/locate/jnlabr/ymssp The sensitivity method in finite element model updating: A tutorial John E. Mottershead a,n, Michael Link b, Michael I. Friswell c a Centre for Engineering Dynamics, University of Liverpool, UK b Institute for Statics and Structural Dynamics, University of Kassel, Germany c School of Engineering, Swansea University, Wales, UK a r t i c l e i n f o Article history: Received 29 July 2010 Received in revised form 14 October 2010 Accepted 19 October 2010 Available online 31 October 2010 Keywords: Model Updating Sensitivity Method 70/$ - see front matter & 2010 Elsevier Ltd....
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...A study that includes several different parameterisations of the same joint in a space-frame structure is described by Mottershead et al. [27]....
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