An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
Abstract In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901741&lng=en&tlng=en |
| _version_ | 1818129989705400320 |
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| author | Bashir Movahedian Meshkat Botshekan |
| author_facet | Bashir Movahedian Meshkat Botshekan |
| author_sort | Bashir Movahedian |
| collection | DOAJ |
| description | Abstract In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies. |
| first_indexed | 2024-12-11T07:57:55Z |
| format | Article |
| id | doaj.art-0c7a274954fb4d4fa539fcc46f2d9c7e |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-11T07:57:55Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-0c7a274954fb4d4fa539fcc46f2d9c7e2022-12-22T01:15:11ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-78251491741175110.1590/1679-78253549S1679-78252017000901741An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled CylindersBashir MovahedianMeshkat BotshekanAbstract In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901741&lng=en&tlng=enForced vibrationThick-walled cylindersAnalytical time domain solutionPolar orthotropy |
| spellingShingle | Bashir Movahedian Meshkat Botshekan An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders Latin American Journal of Solids and Structures Forced vibration Thick-walled cylinders Analytical time domain solution Polar orthotropy |
| title | An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders |
| title_full | An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders |
| title_fullStr | An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders |
| title_full_unstemmed | An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders |
| title_short | An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders |
| title_sort | analytical time domain solution for the forced vibration analysis of thick walled cylinders |
| topic | Forced vibration Thick-walled cylinders Analytical time domain solution Polar orthotropy |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901741&lng=en&tlng=en |
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