Free Vibration Analysis of Rings via Wave Approach
Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices are derived for the case of a fixed boundary at inner surface and a free boundary at outer surface. Then, assembling the...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/6181204 |
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| _version_ | 1832559825914953728 |
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| author | Wang Zhipeng Liu Wei Yuan Yunbo Shuai Zhijun Guo Yibin Wang Donghua |
| author_facet | Wang Zhipeng Liu Wei Yuan Yunbo Shuai Zhijun Guo Yibin Wang Donghua |
| author_sort | Wang Zhipeng |
| collection | DOAJ |
| description | Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices are derived for the case of a fixed boundary at inner surface and a free boundary at outer surface. Then, assembling these matrices, characteristic equation of natural frequency is obtained. Wave approach is employed to study the free vibration of these ring structures. Natural frequencies calculated by wave approach are compared with those obtained by classical method and Finite Element Method (FEM). Afterwards natural frequencies of four type boundaries are calculated. Transverse vibration transmissibility of rings propagating from outer to inner and from inner to outer is investigated. Finally, the effects of structural and material parameters on free vibration are discussed in detail. |
| format | Article |
| id | doaj-art-4d607787da5c44828ebb5833864b48c5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-4d607787da5c44828ebb5833864b48c52025-02-03T01:29:05ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/61812046181204Free Vibration Analysis of Rings via Wave ApproachWang Zhipeng0Liu Wei1Yuan Yunbo2Shuai Zhijun3Guo Yibin4Wang Donghua5College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaFree vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices are derived for the case of a fixed boundary at inner surface and a free boundary at outer surface. Then, assembling these matrices, characteristic equation of natural frequency is obtained. Wave approach is employed to study the free vibration of these ring structures. Natural frequencies calculated by wave approach are compared with those obtained by classical method and Finite Element Method (FEM). Afterwards natural frequencies of four type boundaries are calculated. Transverse vibration transmissibility of rings propagating from outer to inner and from inner to outer is investigated. Finally, the effects of structural and material parameters on free vibration are discussed in detail.http://dx.doi.org/10.1155/2018/6181204 |
| spellingShingle | Wang Zhipeng Liu Wei Yuan Yunbo Shuai Zhijun Guo Yibin Wang Donghua Free Vibration Analysis of Rings via Wave Approach Shock and Vibration |
| title | Free Vibration Analysis of Rings via Wave Approach |
| title_full | Free Vibration Analysis of Rings via Wave Approach |
| title_fullStr | Free Vibration Analysis of Rings via Wave Approach |
| title_full_unstemmed | Free Vibration Analysis of Rings via Wave Approach |
| title_short | Free Vibration Analysis of Rings via Wave Approach |
| title_sort | free vibration analysis of rings via wave approach |
| url | http://dx.doi.org/10.1155/2018/6181204 |
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