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

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.
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Pierre Ladevèze, Lionel Arnaud, Philippe Rouch, Claude Blanzé. The variational theory of complex rays for the calculation of medium-frequency vibrations. Engineering Computations, Emerald, 2001, vol. 18, pp. 193-214. ⟨10.1108/02644400110365879⟩. ⟨hal-00854453⟩

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