Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method
A p-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary condit...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0495 |
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| _version_ | 1832565055925780480 |
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| author | Pedro Ribeiro Bruno Cochelin Sergio Bellizzi |
| author_facet | Pedro Ribeiro Bruno Cochelin Sergio Bellizzi |
| author_sort | Pedro Ribeiro |
| collection | DOAJ |
| description | A p-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary conditions, are computed. These linear natural frequencies are compared with published results and with results obtained using a commercial software finite element package; good agreement is found. External forces are applied and the displacements in the geometrically non-linear regime computed with the p-model are found to be close to the ones computed using a commercial FE package. In all numerical tests the p-FE model requires far fewer degrees of freedom than the regular FE models. A numerical study on the dynamic behaviour of deep shells is finally carried out. |
| format | Article |
| id | doaj-art-c355d495211e4d539811aaf055482546 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-c355d495211e4d539811aaf0554825462025-02-03T01:09:39ZengWileyShock and Vibration1070-96221875-92032010-01-01171213710.3233/SAV-2010-0495Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element MethodPedro Ribeiro0Bruno Cochelin1Sergio Bellizzi2IDMEC/DEMEGI, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, PortugalLaboratoire de Mécanique et d'Acoustique, CNRS, 31 chemin Joseph Aiguier, 13402 Marseille, FranceLaboratoire de Mécanique et d'Acoustique, CNRS, 31 chemin Joseph Aiguier, 13402 Marseille, FranceA p-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary conditions, are computed. These linear natural frequencies are compared with published results and with results obtained using a commercial software finite element package; good agreement is found. External forces are applied and the displacements in the geometrically non-linear regime computed with the p-model are found to be close to the ones computed using a commercial FE package. In all numerical tests the p-FE model requires far fewer degrees of freedom than the regular FE models. A numerical study on the dynamic behaviour of deep shells is finally carried out.http://dx.doi.org/10.3233/SAV-2010-0495 |
| spellingShingle | Pedro Ribeiro Bruno Cochelin Sergio Bellizzi Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method Shock and Vibration |
| title | Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method |
| title_full | Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method |
| title_fullStr | Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method |
| title_full_unstemmed | Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method |
| title_short | Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method |
| title_sort | non linear vibrations of deep cylindrical shells by the p version finite element method |
| url | http://dx.doi.org/10.3233/SAV-2010-0495 |
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