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.

Citation

Ladevèze, P., Arnaud, L., Rouch, P. and Blanzé, C. (2001), "The variational theory of complex rays for the calculation of medium‐frequency vibrations", Engineering Computations, Vol. 18 No. 1/2, pp. 193-214. https://doi.org/10.1108/02644400110365879