Vibration Analysis of Annular Sector Plates under Different Boundary Conditions
An analytical framework is developed for the vibration analysis of annular sector plates with general elastic restraints along each edge of plates. Regardless of boundary conditions, the displacement solution is invariably expressed as a new form of trigonometric expansion with accelerated convergen...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/517946 |
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| _version_ | 1832555836430352384 |
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| author | Dongyan Shi Xianjie Shi Wen L. Li Qingshan Wang Jiashan Han |
| author_facet | Dongyan Shi Xianjie Shi Wen L. Li Qingshan Wang Jiashan Han |
| author_sort | Dongyan Shi |
| collection | DOAJ |
| description | An analytical framework is developed for the vibration analysis of annular sector plates with general elastic restraints along each edge of plates. Regardless of boundary conditions, the displacement solution is invariably expressed as a new form of trigonometric expansion with accelerated convergence. The expansion coefficients are treated as the generalized coordinates and determined using the Rayleigh-Ritz technique. This work allows a capability of modeling annular sector plates under a variety of boundary conditions and changing the boundary conditions as easily as modifying the material properties or dimensions of the plates. Of equal importance, the proposed approach is universally applicable to annular sector plates of any inclusion angles up to 2π. The reliability and accuracy of the current method are adequately validated through numerical examples. |
| format | Article |
| id | doaj-art-013ded3f25404a36a23b413883db11f5 |
| 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-013ded3f25404a36a23b413883db11f52025-02-03T05:46:58ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/517946517946Vibration Analysis of Annular Sector Plates under Different Boundary ConditionsDongyan Shi0Xianjie Shi1Wen L. Li2Qingshan Wang3Jiashan Han4College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, ChinaDepartment of Mechanical Engineering, Wayne State University, Detroit, MI 48201, USACollege of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, ChinaLuoyang Sunrui Special Equipment Co., Ltd., Luoyang 471003, ChinaAn analytical framework is developed for the vibration analysis of annular sector plates with general elastic restraints along each edge of plates. Regardless of boundary conditions, the displacement solution is invariably expressed as a new form of trigonometric expansion with accelerated convergence. The expansion coefficients are treated as the generalized coordinates and determined using the Rayleigh-Ritz technique. This work allows a capability of modeling annular sector plates under a variety of boundary conditions and changing the boundary conditions as easily as modifying the material properties or dimensions of the plates. Of equal importance, the proposed approach is universally applicable to annular sector plates of any inclusion angles up to 2π. The reliability and accuracy of the current method are adequately validated through numerical examples.http://dx.doi.org/10.1155/2014/517946 |
| spellingShingle | Dongyan Shi Xianjie Shi Wen L. Li Qingshan Wang Jiashan Han Vibration Analysis of Annular Sector Plates under Different Boundary Conditions Shock and Vibration |
| title | Vibration Analysis of Annular Sector Plates under Different Boundary Conditions |
| title_full | Vibration Analysis of Annular Sector Plates under Different Boundary Conditions |
| title_fullStr | Vibration Analysis of Annular Sector Plates under Different Boundary Conditions |
| title_full_unstemmed | Vibration Analysis of Annular Sector Plates under Different Boundary Conditions |
| title_short | Vibration Analysis of Annular Sector Plates under Different Boundary Conditions |
| title_sort | vibration analysis of annular sector plates under different boundary conditions |
| url | http://dx.doi.org/10.1155/2014/517946 |
| work_keys_str_mv | AT dongyanshi vibrationanalysisofannularsectorplatesunderdifferentboundaryconditions AT xianjieshi vibrationanalysisofannularsectorplatesunderdifferentboundaryconditions AT wenlli vibrationanalysisofannularsectorplatesunderdifferentboundaryconditions AT qingshanwang vibrationanalysisofannularsectorplatesunderdifferentboundaryconditions AT jiashanhan vibrationanalysisofannularsectorplatesunderdifferentboundaryconditions |