Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM
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 convergen...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2007/923514 |
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| _version_ | 1832562142073585664 |
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| author | C.A. Morales R. Goncalves |
| author_facet | C.A. Morales R. Goncalves |
| author_sort | C.A. Morales |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f4721dfa1a454307b382f5331d2da453 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f4721dfa1a454307b382f5331d2da4532025-02-03T01:23:27ZengWileyShock and Vibration1070-96221875-92032007-01-0114641742810.1155/2007/923514Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEMC.A. Morales0R. Goncalves1Departamento de Mecánica, Universidad Simón Bolívar, Apdo. 89000, Caracas 1080 A, VenezuelaDepartamento de Mecánica, Universidad Simón Bolívar, Apdo. 89000, Caracas 1080 A, VenezuelaEigenfunction 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.http://dx.doi.org/10.1155/2007/923514 |
| spellingShingle | C.A. Morales R. Goncalves Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM Shock and Vibration |
| title | Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM |
| title_full | Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM |
| title_fullStr | Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM |
| title_full_unstemmed | Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM |
| title_short | Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM |
| title_sort | eigenfunction convergence of the rayleigh ritz meirovitch method and the fem |
| url | http://dx.doi.org/10.1155/2007/923514 |
| work_keys_str_mv | AT camorales eigenfunctionconvergenceoftherayleighritzmeirovitchmethodandthefem AT rgoncalves eigenfunctionconvergenceoftherayleighritzmeirovitchmethodandthefem |