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The variational theory of complex rays for the calculation of medium-frequency vibrations

Ladevèze, Pierre and Arnaud, Lionel and Rouch, Philippe and Blanzé, Claude The variational theory of complex rays for the calculation of medium-frequency vibrations. (2001) Engineering Computations, vol. 18 (n° 1-2). pp. 193-214. ISSN 0264-4401

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Official URL: http://www.emerald-library.com/journals.htm?issn=0264-4401&volume=18&issue=1/2&articleid=878108&show=abstract

Abstract

A new approach called the ``variational theory of complex rays’’ (VTCR) is developed for calculating the vibrations of weakly damped elastic structures in the medium-frequency range. Here, the emphasis is put on the most fundamental aspects. The effective quantities (elastic energy, vibration intensity, etc.) are evaluated after solving a small system of equations which does not derive from a finite element discretization of the structure. Numerical examples related to plates show the appeal and the possibilities of the VTCR.

Item Type:Article
Additional Information:Thanks to Emerald editor. The definitive version is available at http://www.emeraldinsight.com. The original PDF of the article can be found at http://www.emerald-library.com/journals.htm?issn=0264-4401&volume=18&issue=1/2&articleid=878108&show=abstract
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Other partners > Ecole Normale Supérieure de Cachan - ENS Cachan (FRANCE)
Other partners > Université Pierre et Marie Curie, Paris 6 - UPMC (FRANCE)
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Deposited By:Lionel Arnaud

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