AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS
In this paper a detailed study of the theory of free axisymmetric vibration of thin isotropic prolate spheroidal shells is presented. The analysis is performed according to Rayleigh – Ritz method. This method as well as an approximate modeling technique were attempted to estimate the natural freque...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2006-09-01
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| Series: | Journal of Engineering |
| Subjects: | |
| Online Access: | https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2493 |
| _version_ | 1797267082865278976 |
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| author | Ahmed A. Hassan Ala M. Hussein Mohammed J. Obaid |
| author_facet | Ahmed A. Hassan Ala M. Hussein Mohammed J. Obaid |
| author_sort | Ahmed A. Hassan |
| collection | DOAJ |
| description |
In this paper a detailed study of the theory of free axisymmetric vibration of thin isotropic prolate spheroidal shells is presented. The analysis is performed according to Rayleigh – Ritz method. This method as well as an approximate modeling technique were attempted to estimate the natural frequencies for the shell. This technique is based on considering the prolate spheroidal as a continuous system constructed from two spherical shell elements matched at the continuous boundaries. Through out the obtained results it is found that this method predicted fairly well the natural frequencies of a prolate spheroidal shell for all values of eccentricities.
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| first_indexed | 2024-03-07T15:38:08Z |
| format | Article |
| id | doaj.art-eca6993c49f441268acdf7beead8fdac |
| institution | Directory Open Access Journal |
| issn | 1726-4073 2520-3339 |
| language | English |
| last_indexed | 2024-04-25T01:10:56Z |
| publishDate | 2006-09-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj.art-eca6993c49f441268acdf7beead8fdac2024-03-10T09:52:15ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392006-09-01120310.31026/j.eng.2006.03.11AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLSAhmed A. HassanAla M. HusseinMohammed J. Obaid In this paper a detailed study of the theory of free axisymmetric vibration of thin isotropic prolate spheroidal shells is presented. The analysis is performed according to Rayleigh – Ritz method. This method as well as an approximate modeling technique were attempted to estimate the natural frequencies for the shell. This technique is based on considering the prolate spheroidal as a continuous system constructed from two spherical shell elements matched at the continuous boundaries. Through out the obtained results it is found that this method predicted fairly well the natural frequencies of a prolate spheroidal shell for all values of eccentricities. https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2493Spheroidal Shells, Thin Prolate , Free Vibration, Axisymmetric |
| spellingShingle | Ahmed A. Hassan Ala M. Hussein Mohammed J. Obaid AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS Journal of Engineering Spheroidal Shells, Thin Prolate , Free Vibration, Axisymmetric |
| title | AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS |
| title_full | AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS |
| title_fullStr | AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS |
| title_full_unstemmed | AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS |
| title_short | AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS |
| title_sort | axisymmetric free vibration of thin prolate spheroidal shells |
| topic | Spheroidal Shells, Thin Prolate , Free Vibration, Axisymmetric |
| url | https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2493 |
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