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Shock and Vibration
Volume 14, Issue 6, Pages 417-428

Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM

C.A. Morales and R. Goncalves

Departamento de Mecánica, Universidad Simón Bolívar, Apdo. 89000, Caracas 1080 A, Venezuela

Received 6 December 2004; Revised 3 October 2006

Copyright © 2007 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Eigenfunction convergence characteristics of the finite element method and the Rayleigh-Ritz method with quasicomparison functions (RRMM) are compared. The RRMM has previously proved to be superior in comparing eigenvalue convergence characteristics. The importance of studying natural mode convergence is associated to the fact that the general response of a structure is a linear combination of these characteristic functions; in other words, accurate structural response attainment demands accurate structural modes in the analysis. It is shown that in this case the RRMM also produces superior results. A refined definition of quasicomparison functions is advanced.