In the Rayleigh-Ritz condensation method the solution of the equation of motion is approximated by a linear combination of shape-functions selected among appropriate sets. Extensive literature dealing with the choice of appropriate basis of shape functions exists, the selection depending on the particular boundary conditions of the structure considered. This paper is aimed at investigating the possibility of adopting a set of eigenfunctions evaluated from a simple stucture as a general basis for the analysis of arbitrary-shaped plates. The results are compared to those available in the literature and using standard finite element analysis.

G. Catania, S. Sorrentino (2009). Rayleigh – Ritz analysis of vibrating plates based on a class of eigenfunction. SAN DIEGO : Asme.

Rayleigh – Ritz analysis of vibrating plates based on a class of eigenfunction

CATANIA, GIUSEPPE;SORRENTINO, SILVIO
2009

Abstract

In the Rayleigh-Ritz condensation method the solution of the equation of motion is approximated by a linear combination of shape-functions selected among appropriate sets. Extensive literature dealing with the choice of appropriate basis of shape functions exists, the selection depending on the particular boundary conditions of the structure considered. This paper is aimed at investigating the possibility of adopting a set of eigenfunctions evaluated from a simple stucture as a general basis for the analysis of arbitrary-shaped plates. The results are compared to those available in the literature and using standard finite element analysis.
2009
Proceedings of the ASME 2009 Design Engineering Technical Conferences & Computers and Ingormation in Engineering Conference (IDETC2009)
1
9
G. Catania, S. Sorrentino (2009). Rayleigh – Ritz analysis of vibrating plates based on a class of eigenfunction. SAN DIEGO : Asme.
G. Catania; S. Sorrentino
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/77373
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