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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper VI.1

First Applications of the Variational Theory of Complex Rays to Forced Vibrations of Plates in the Medium-Frequency Range

L. Arnaud, P. Ladevèze and C. Blanzé

Laboratoire de Mécanique et Technologie, E.N.S. de Cachan, Université Paris 6, Cachan, France

Full Bibliographic Reference for this paper
L. Arnaud, P. Ladevèze, C. Blanzé, "First Applications of the Variational Theory of Complex Rays to Forced Vibrations of Plates in the Medium-Frequency Range", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 121-128, 2000. doi:10.4203/ccp.66.6.1
Abstract
A new approach, called "Variational Theory of Complex Rays", is applied to the calculation of slightly-damped, elastic structural vibrations of plates in the medium-frequency range. For each frequency of the studied frequency range, a small system of linear equations leads to the effective quantities (kinetic energy, vibrational intensity); in no way does this procedure require a detailed finite element discretization of the structure.

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