Experimentos Numéricos sobre el Método de Rayleigh-Ritz Aplicado a Placas Doblemente Conexas

Abstract

Numerical experiments are performed on the determination of the fundamental frequency of transverse vibration of simply supported rectangular plates having rectangular holes with free edges. This constitutes a rather common technological situation since holes are practiced in plates or slabs due to operational conditions, namely passage of conduits or ducts, electric conductors, etc.
Satisfying exactly the governing natural boundary conditions at the hole edges is practically impossible task. This study reviews numerical experiments where the displacement function is expanded into a double Fourier series which
constitutes the exact solution when the plate is simply collected. Satisfactory convergence is achieved when the plate is doubly connected.