Vibration of a circular beam with variable cross sections using differential transformation method
In this paper, an application of differential transformation method (DTM) is applied on free vibration analysis of Euler-Bernoulli beam. This beam has variable circular cross sections. Natural frequencies and corresponding mode shapes are obtained for three cases of cross section and boundary condit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2015-09-01
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| Series: | Beni-Suef University Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S231485351500027X |
| _version_ | 1818290824483438592 |
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| author | S.M. Abdelghany K.M. Ewis A.A. Mahmoud Mohamed M. Nassar |
| author_facet | S.M. Abdelghany K.M. Ewis A.A. Mahmoud Mohamed M. Nassar |
| author_sort | S.M. Abdelghany |
| collection | DOAJ |
| description | In this paper, an application of differential transformation method (DTM) is applied on free vibration analysis of Euler-Bernoulli beam. This beam has variable circular cross sections. Natural frequencies and corresponding mode shapes are obtained for three cases of cross section and boundary conditions. MATLAB program is used to solve the differential equation of the beam using DTM. Comparison of the obtained results with the previous solutions proves the accuracy and versatility of the presented problem. |
| first_indexed | 2024-12-13T02:34:19Z |
| format | Article |
| id | doaj.art-bdfb27803d6049969db35ece187f58f1 |
| institution | Directory Open Access Journal |
| issn | 2314-8535 |
| language | English |
| last_indexed | 2024-12-13T02:34:19Z |
| publishDate | 2015-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Beni-Suef University Journal of Basic and Applied Sciences |
| spelling | doaj.art-bdfb27803d6049969db35ece187f58f12022-12-22T00:02:26ZengSpringerOpenBeni-Suef University Journal of Basic and Applied Sciences2314-85352015-09-014318519110.1016/j.bjbas.2015.05.006Vibration of a circular beam with variable cross sections using differential transformation methodS.M. Abdelghany0K.M. Ewis1A.A. Mahmoud2Mohamed M. Nassar3Engineering Mathematics and Physics Department, Faculty of Engineering, Fayoum University, Fayoum, EgyptEngineering Mathematics and Physics Department, Faculty of Engineering, Fayoum University, Fayoum, EgyptEngineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza, EgyptEngineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza, EgyptIn this paper, an application of differential transformation method (DTM) is applied on free vibration analysis of Euler-Bernoulli beam. This beam has variable circular cross sections. Natural frequencies and corresponding mode shapes are obtained for three cases of cross section and boundary conditions. MATLAB program is used to solve the differential equation of the beam using DTM. Comparison of the obtained results with the previous solutions proves the accuracy and versatility of the presented problem.http://www.sciencedirect.com/science/article/pii/S231485351500027XDifferential transformation methodCircular beamVariable cross sectionVibration |
| spellingShingle | S.M. Abdelghany K.M. Ewis A.A. Mahmoud Mohamed M. Nassar Vibration of a circular beam with variable cross sections using differential transformation method Beni-Suef University Journal of Basic and Applied Sciences Differential transformation method Circular beam Variable cross section Vibration |
| title | Vibration of a circular beam with variable cross sections using differential transformation method |
| title_full | Vibration of a circular beam with variable cross sections using differential transformation method |
| title_fullStr | Vibration of a circular beam with variable cross sections using differential transformation method |
| title_full_unstemmed | Vibration of a circular beam with variable cross sections using differential transformation method |
| title_short | Vibration of a circular beam with variable cross sections using differential transformation method |
| title_sort | vibration of a circular beam with variable cross sections using differential transformation method |
| topic | Differential transformation method Circular beam Variable cross section Vibration |
| url | http://www.sciencedirect.com/science/article/pii/S231485351500027X |
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