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A multiscale and Trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates

Blanc L., Blanzé C., Ladeveze P., Rouch P.

Computer Assisted Mechanics and Engineering Sciences

2003

Vol. 10, No. 4

375-383

A new approach called the "Variational Theory of Complex Rays'' has been developed in order to calculate the vibrations of slightly damped elastic plates in the medium-frequency range. The solution of a small system of equations, which does not result from a fine spatial discretization of the structure, leads to the evaluation of effective quantities (deformation energy, vibration amplitude, ...). Here we extend this approach, which was already validated for assemblies of homogeneous substructures, to the case of heterogeneous substructures.

A new computational method for structural vibrations in the medium-frequency range

Ladeveze P., Arnaud L.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 2

219-226

In the paper a new approach for the computation of slightly damped elastic structural vibrations over the medium frequency range is proposed. The effective quantities (deformation energy, vibrational intensity, etc...) are evaluated after resolution of a small system of equations that does not in any way result from a fine ``finite element'' discretisation of the structure.