An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends
An efficient analytical method for vibration analysis of a Euler-Bernoulli beam on elastic foundation with elastically restrained ends has been reported. A Fourier sine series with Stoke’s transformation is used to obtain the vibration response. The general frequency determinant is developed on the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/159213 |
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| _version_ | 1849397253657067520 |
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| author | Mustafa Özgür Yayli Murat Aras Süleyman Aksoy |
| author_facet | Mustafa Özgür Yayli Murat Aras Süleyman Aksoy |
| author_sort | Mustafa Özgür Yayli |
| collection | DOAJ |
| description | An efficient analytical method for vibration analysis of a Euler-Bernoulli beam on elastic foundation with elastically restrained ends has been reported. A Fourier sine series with Stoke’s transformation is used to obtain the vibration response. The general frequency determinant is developed on the basis of the analytical solution of the governing differential equation for all potential solution cases with rigid or restrained boundary conditions. Numerical analyses are performed to investigate the effects of various parameters, such as the springs at the boundaries to examine how the elastic foundation parameters affect the vibration frequencies. |
| format | Article |
| id | doaj-art-af72692f8b4746ecb418bb97ea1e0500 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-af72692f8b4746ecb418bb97ea1e05002025-08-20T03:39:05ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/159213159213An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained EndsMustafa Özgür Yayli0Murat Aras1Süleyman Aksoy2Faculty of Engineering, Department of Civil Engineering, Bilecik Şeyh Edebali University, Gülümbe Kampüsü, 11210 Bilecik, TurkeyFaculty of Engineering, Department of Civil Engineering, Bilecik Şeyh Edebali University, Gülümbe Kampüsü, 11210 Bilecik, TurkeyFaculty of Engineering, Department of Civil Engineering, Bilecik Şeyh Edebali University, Gülümbe Kampüsü, 11210 Bilecik, TurkeyAn efficient analytical method for vibration analysis of a Euler-Bernoulli beam on elastic foundation with elastically restrained ends has been reported. A Fourier sine series with Stoke’s transformation is used to obtain the vibration response. The general frequency determinant is developed on the basis of the analytical solution of the governing differential equation for all potential solution cases with rigid or restrained boundary conditions. Numerical analyses are performed to investigate the effects of various parameters, such as the springs at the boundaries to examine how the elastic foundation parameters affect the vibration frequencies.http://dx.doi.org/10.1155/2014/159213 |
| spellingShingle | Mustafa Özgür Yayli Murat Aras Süleyman Aksoy An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends Shock and Vibration |
| title | An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends |
| title_full | An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends |
| title_fullStr | An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends |
| title_full_unstemmed | An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends |
| title_short | An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends |
| title_sort | efficient analytical method for vibration analysis of a beam on elastic foundation with elastically restrained ends |
| url | http://dx.doi.org/10.1155/2014/159213 |
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