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.

Rayleigh- Ritz analysis of vibrating plates based on a class of eigenfunctions / Catania, Giuseppe; Sorrentino, Silvio. - 1:PART A(2009), pp. 185-193. (Intervento presentato al convegno ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 tenutosi a San Diego (California, USA) nel 30 august - 2 september 2009) [10.1115/DETC2009-86262].

### Rayleigh- Ritz analysis of vibrating plates based on a class of eigenfunctions

#### 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.
##### Scheda breve Scheda completa Scheda completa (DC)
2009
ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
San Diego (California, USA)
30 august - 2 september 2009
1
185
193
Catania, Giuseppe; Sorrentino, Silvio
Rayleigh- Ritz analysis of vibrating plates based on a class of eigenfunctions / Catania, Giuseppe; Sorrentino, Silvio. - 1:PART A(2009), pp. 185-193. (Intervento presentato al convegno ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 tenutosi a San Diego (California, USA) nel 30 august - 2 september 2009) [10.1115/DETC2009-86262].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11380/1146990`