Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads
This paper presents the transverse vibration of Bernoulli-Euler homogeneous isotropic damped beams with general boundary conditions. The beams are assumed to be subjected to a load moving at a uniform velocity. The damping characteristics of the beams are described in terms of fractional derivatives...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0634 |
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| author | R. Abu-Mallouh I. Abu-Alshaikh H.S. Zibdeh Khaled Ramadan |
| author_facet | R. Abu-Mallouh I. Abu-Alshaikh H.S. Zibdeh Khaled Ramadan |
| author_sort | R. Abu-Mallouh |
| collection | DOAJ |
| description | This paper presents the transverse vibration of Bernoulli-Euler homogeneous isotropic damped beams with general boundary conditions. The beams are assumed to be subjected to a load moving at a uniform velocity. The damping characteristics of the beams are described in terms of fractional derivatives of arbitrary orders. In the analysis where initial conditions are assumed to be homogeneous, the Laplace transform cooperates with the decomposition method to obtain the analytical solution of the investigated problems. Subsequently, curves are plotted to show the dynamic response of different beams under different sets of parameters including different orders of fractional derivatives. The curves reveal that the dynamic response increases as the order of fractional derivative increases. Furthermore, as the order of the fractional derivative increases the peak of the dynamic deflection shifts to the right, this yields that the smaller the order of the fractional derivative, the more oscillations the beam suffers. The results obtained in this paper closely match the results of papers in the literature review. |
| format | Article |
| id | doaj-art-7aed18e4c3914dbfa84adb0fedc55798 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-7aed18e4c3914dbfa84adb0fedc557982025-02-03T01:03:09ZengWileyShock and Vibration1070-96221875-92032012-01-0119333334710.3233/SAV-2010-0634Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving LoadsR. Abu-Mallouh0I. Abu-Alshaikh1H.S. Zibdeh2Khaled Ramadan3Applied Sciences University, Amman 11931, JordanApplied Sciences University, Amman 11931, JordanJordan University of Science and Technology, Irbid, JordanApplied Sciences University, Amman 11931, JordanThis paper presents the transverse vibration of Bernoulli-Euler homogeneous isotropic damped beams with general boundary conditions. The beams are assumed to be subjected to a load moving at a uniform velocity. The damping characteristics of the beams are described in terms of fractional derivatives of arbitrary orders. In the analysis where initial conditions are assumed to be homogeneous, the Laplace transform cooperates with the decomposition method to obtain the analytical solution of the investigated problems. Subsequently, curves are plotted to show the dynamic response of different beams under different sets of parameters including different orders of fractional derivatives. The curves reveal that the dynamic response increases as the order of fractional derivative increases. Furthermore, as the order of the fractional derivative increases the peak of the dynamic deflection shifts to the right, this yields that the smaller the order of the fractional derivative, the more oscillations the beam suffers. The results obtained in this paper closely match the results of papers in the literature review.http://dx.doi.org/10.3233/SAV-2010-0634 |
| spellingShingle | R. Abu-Mallouh I. Abu-Alshaikh H.S. Zibdeh Khaled Ramadan Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads Shock and Vibration |
| title | Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads |
| title_full | Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads |
| title_fullStr | Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads |
| title_full_unstemmed | Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads |
| title_short | Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads |
| title_sort | response of fractionally damped beams with general boundary conditions subjected to moving loads |
| url | http://dx.doi.org/10.3233/SAV-2010-0634 |
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