Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method
This paper is concerned with the dynamic behavior of the rotating composite shaft on rigid bearings. A 𝑝-version, hierarchical finite element is employed to define the model. A theoretical study allows the establishment of the kinetic energy and the strain energy of the shaft, necessary to the resul...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Rotating Machinery |
| Online Access: | http://dx.doi.org/10.1155/2008/752062 |
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| author | A. Boukhalfa A. Hadjoui S. M. Hamza Cherif |
| author_facet | A. Boukhalfa A. Hadjoui S. M. Hamza Cherif |
| author_sort | A. Boukhalfa |
| collection | DOAJ |
| description | This paper is concerned with the dynamic behavior of the rotating composite shaft on rigid bearings. A 𝑝-version, hierarchical finite element is employed to define the model. A theoretical study allows the establishment of the kinetic energy and the strain energy of the shaft, necessary to the result of the equations of motion. In this model the transverse shear deformation, rotary inertia and gyroscopic effects, as well as the coupling effect due to the lamination of composite layers have been incorporated. A hierarchical beam finite element with six degrees of freedom per node is developed and used to find the natural frequencies of a rotating composite shaft. A program is elaborate for the calculation of the eigenfrequencies and critical speeds of a rotating composite shaft. To verify the present model, the critical speeds of composite shaft systems are compared with those available in the literature. The efficiency and accuracy of the methods employed are discussed. |
| format | Article |
| id | doaj-art-a0a6aaf0ec644fd89b72eddbdbc576f4 |
| institution | Kabale University |
| issn | 1023-621X 1542-3034 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Rotating Machinery |
| spelling | doaj-art-a0a6aaf0ec644fd89b72eddbdbc576f42025-02-03T01:22:18ZengWileyInternational Journal of Rotating Machinery1023-621X1542-30342008-01-01200810.1155/2008/752062752062Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element MethodA. Boukhalfa0A. Hadjoui1S. M. Hamza Cherif2Department of Mechanical Engineering, Faculty of Sciences Engineering, Abou Bakr Belkaid University, Tlemcen 13000, AlgeriaDepartment of Mechanical Engineering, Faculty of Sciences Engineering, Abou Bakr Belkaid University, Tlemcen 13000, AlgeriaDepartment of Mechanical Engineering, Faculty of Sciences Engineering, Abou Bakr Belkaid University, Tlemcen 13000, AlgeriaThis paper is concerned with the dynamic behavior of the rotating composite shaft on rigid bearings. A 𝑝-version, hierarchical finite element is employed to define the model. A theoretical study allows the establishment of the kinetic energy and the strain energy of the shaft, necessary to the result of the equations of motion. In this model the transverse shear deformation, rotary inertia and gyroscopic effects, as well as the coupling effect due to the lamination of composite layers have been incorporated. A hierarchical beam finite element with six degrees of freedom per node is developed and used to find the natural frequencies of a rotating composite shaft. A program is elaborate for the calculation of the eigenfrequencies and critical speeds of a rotating composite shaft. To verify the present model, the critical speeds of composite shaft systems are compared with those available in the literature. The efficiency and accuracy of the methods employed are discussed.http://dx.doi.org/10.1155/2008/752062 |
| spellingShingle | A. Boukhalfa A. Hadjoui S. M. Hamza Cherif Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method International Journal of Rotating Machinery |
| title | Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method |
| title_full | Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method |
| title_fullStr | Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method |
| title_full_unstemmed | Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method |
| title_short | Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝-Version of the Finite Element Method |
| title_sort | free vibration analysis of a rotating composite shaft using the 𝑝 version of the finite element method |
| url | http://dx.doi.org/10.1155/2008/752062 |
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