Regularization for symmetric and almost symmetric systems in model updating

B. Titurus, M. I. Friswell

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)

Abstract

The occurrence of mechanical systems with symmetries in the context of problems with parametric response dependencies can cause a range of problems such as ill-conditioning, singularities, qualitative changes of behaviour. Common methods using parameterized response model representations include the techniques of model updating. The main driver of these algorithms is often the sensitivity matrix corresponding to a given parameterization. Using only the sensitivity matrix in cases of systems with symmetries will result in erratic behaviour of the updating algorithms, numerical problems and can even cause the algorithms to fail to converge to physically acceptable results. The goal of this paper is to investigate the potential of regularization conditions to stabilize the behavior of problems with symmetries. The use of regularization is demonstrated in a numerical case study with singularities and illconditioning present in the first order approximation representation. © 2008 by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved.

Translated title of the contributionRegularization for symmetric and almost symmetric systems in model updating
Original languageEnglish
Title of host publication23rd International Conference on Noise and Vibration Engineering 2008, ISMA 2008
PublisherKatholieke Universiteit Leuven
Pages1911-1922
Number of pages12
Volume4
ISBN (Print)9781615671915
Publication statusPublished - Sep 2008
Event23rd International Conference on Noise and Vibration Engineering 2008, ISMA 2008 - Leuven, United Kingdom
Duration: 15 Sep 200817 Sep 2008

Conference

Conference23rd International Conference on Noise and Vibration Engineering 2008, ISMA 2008
CountryUnited Kingdom
CityLeuven
Period15/09/0817/09/08

Bibliographical note

Name and Venue of Event: ISMA 2008, Leuven, Belgium

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  • Cite this

    Titurus, B., & Friswell, M. I. (2008). Regularization for symmetric and almost symmetric systems in model updating. In 23rd International Conference on Noise and Vibration Engineering 2008, ISMA 2008 (Vol. 4, pp. 1911-1922). Katholieke Universiteit Leuven.