The singular dynamic method for dynamic contact of thin elastic structures

This paper adresses the approximation of the dynamic impact of thin elastic structures. The principle of the presented method is the use of a singular mass matrix obtained by different discretizations of the deflection and velocity. The obtained semi-discretized problem is proved to be well-posed...

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Main Authors: Pozzolini Cédric, Renard Yves, Salaün Michel
Format: Article
Language:English
Published: EDP Sciences 2013-12-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201342003
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spelling doaj-857e5d69767a4d09b260c5c926d564892021-08-02T09:48:32ZengEDP SciencesESAIM: Proceedings and Surveys1270-900X2013-12-0142203310.1051/proc/201342003The singular dynamic method for dynamic contact of thin elastic structuresPozzolini CédricRenard YvesSalaün MichelThis paper adresses the approximation of the dynamic impact of thin elastic structures. The principle of the presented method is the use of a singular mass matrix obtained by different discretizations of the deflection and velocity. The obtained semi-discretized problem is proved to be well-posed and energy conserving. The method is applied on some membrane, beam and plate models and associated numerical experiments are discussed. http://dx.doi.org/10.1051/proc/201342003
collection DOAJ
language English
format Article
sources DOAJ
author Pozzolini Cédric
Renard Yves
Salaün Michel
spellingShingle Pozzolini Cédric
Renard Yves
Salaün Michel
The singular dynamic method for dynamic contact of thin elastic structures
ESAIM: Proceedings and Surveys
author_facet Pozzolini Cédric
Renard Yves
Salaün Michel
author_sort Pozzolini Cédric
title The singular dynamic method for dynamic contact of thin elastic structures
title_short The singular dynamic method for dynamic contact of thin elastic structures
title_full The singular dynamic method for dynamic contact of thin elastic structures
title_fullStr The singular dynamic method for dynamic contact of thin elastic structures
title_full_unstemmed The singular dynamic method for dynamic contact of thin elastic structures
title_sort singular dynamic method for dynamic contact of thin elastic structures
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 1270-900X
publishDate 2013-12-01
description This paper adresses the approximation of the dynamic impact of thin elastic structures. The principle of the presented method is the use of a singular mass matrix obtained by different discretizations of the deflection and velocity. The obtained semi-discretized problem is proved to be well-posed and energy conserving. The method is applied on some membrane, beam and plate models and associated numerical experiments are discussed.
url http://dx.doi.org/10.1051/proc/201342003
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