Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗
In this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of intensity value of the moving force load on the dynami...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3920937 |
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| _version_ | 1850225494163718144 |
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| author | Kenan Yildirim Sertan Alkan |
| author_facet | Kenan Yildirim Sertan Alkan |
| author_sort | Kenan Yildirim |
| collection | DOAJ |
| description | In this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of intensity value of the moving force load on the dynamic response of the beam are analyzed. Constitutive equations for fractional order viscoelastic beam are constructed in the manner of Euler–Bernoulli beam theory. Solution of the fractional beam system is obtained by using Bernoulli collocation method. Obtained results are presented in the tables and graphical forms for two different beam systems, which are polybutadiene beam and butyl B252 beam. |
| format | Article |
| id | doaj-art-5900f094ce284cfb889ddb7c0338b68f |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5900f094ce284cfb889ddb7c0338b68f2025-08-20T02:05:20ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/3920937Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗Kenan Yildirim0Sertan Alkan1Mus Alparslan UniversityIskenderun Technical UniversityIn this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of intensity value of the moving force load on the dynamic response of the beam are analyzed. Constitutive equations for fractional order viscoelastic beam are constructed in the manner of Euler–Bernoulli beam theory. Solution of the fractional beam system is obtained by using Bernoulli collocation method. Obtained results are presented in the tables and graphical forms for two different beam systems, which are polybutadiene beam and butyl B252 beam.http://dx.doi.org/10.1155/2021/3920937 |
| spellingShingle | Kenan Yildirim Sertan Alkan Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗ Journal of Mathematics |
| title | Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗ |
| title_full | Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗ |
| title_fullStr | Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗ |
| title_full_unstemmed | Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗ |
| title_short | Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗ |
| title_sort | dynamic response analysis of a forced fractional viscoelastic beam∗ |
| url | http://dx.doi.org/10.1155/2021/3920937 |
| work_keys_str_mv | AT kenanyildirim dynamicresponseanalysisofaforcedfractionalviscoelasticbeam AT sertanalkan dynamicresponseanalysisofaforcedfractionalviscoelasticbeam |