Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Transient dynamic analysis over the low- and medium-frequency ranges for engineering structures

M. Chevreuil, P. Ladevèze*
LMT Cachan (ENS Cachan, CNRS, Paris 6 University), 61 avenue du Président Wilson, 94235 Cachan CEDEX, France
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ABSTRACT
The paper deals with a new computational method for transient dynamic analysis which enables one to cover both the low- and medium-frequency ranges. This is a frequency approach in which the low-frequency part is obtained through a classical technique, while the medium-frequency part is handled through the variational theory of complex ray (VTCR) initially introduced for vibrations. The aim of the paper is to extend the capabilities of the method to engineering systems.

Keywords:  Dynamics; Frequency domain; Medium frequencies; Computation; VTCR; Multiscale
* Corresponding author. Tel.: +33 1 47 40 22 41; Fax: + 33 1 47 40 27 85; E-mail: ladeveze@lmt.ens-cachan.fr