Eigenfunction convergence of the Rayleigh-Ritz-Meirovitch method and the FEM

Article type: Research Article

Authors: Morales, C.A. | Goncalves, R.

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

Note: [] Corresponding author. CCS 91270, P.O. Box 025323, Miami, FL 33102-5323, USA. Tel.: +1 58 212 906 4075; Fax: +1 58 212 906 4062; E-mail: [email protected]

Abstract: 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.

Journal: Shock and Vibration, vol. 14, no. 6, pp. 417-428, 2007