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 eigenfunction / G. Catania; S. Sorrentino. - ELETTRONICO. - 1:(2009), pp. 1-9. (Intervento presentato al convegno Proceedings of the ASME 2009 Design Engineering Technical Conferences & Computers and Ingormation in Engineering Conference (IDETC2009) tenutosi a San Diego, CA, Usa nel August 30 - Sept. 2, 2009).
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.