Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method
The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure is divided into several equal sections based on domain decomposition method. Next, the artificial spring is used to simulate c...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/4440250 |
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| _version_ | 1849435362120695808 |
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| author | Cong Gao Fuzhen Pang Haichao Li Hongfu Wang Jie Cui Jisi Huang |
| author_facet | Cong Gao Fuzhen Pang Haichao Li Hongfu Wang Jie Cui Jisi Huang |
| author_sort | Cong Gao |
| collection | DOAJ |
| description | The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure is divided into several equal sections based on domain decomposition method. Next, the artificial spring is used to simulate complex boundaries and continuity condition of multispan beam. Finally, the admissible displacement functions are expanded through Jacobi orthogonal polynomials, and the free and forced vibration characteristics of multispan beam structures can be obtained by using Rayleigh–Ritz method. Results for various boundary conditions, ratios of thickness to length (h/L), numbers, and stiffness of supporting springs are presented. It is clearly shown that accurate solutions can be obtained by using the proposed method, and this study extends the application range of the Jacobi polynomials-Ritz method. In addition, the research results of this paper can provide data support for engineers such as bridge designers to design multispan bridges. |
| format | Article |
| id | doaj-art-e57522a32e384d4195de74add262a0e7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-e57522a32e384d4195de74add262a0e72025-08-20T03:26:20ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/44402504440250Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz MethodCong Gao0Fuzhen Pang1Haichao Li2Hongfu Wang3Jie Cui4Jisi Huang5College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212000, ChinaChina National Intellectual Property Administration, Beijing 100088, ChinaThe uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure is divided into several equal sections based on domain decomposition method. Next, the artificial spring is used to simulate complex boundaries and continuity condition of multispan beam. Finally, the admissible displacement functions are expanded through Jacobi orthogonal polynomials, and the free and forced vibration characteristics of multispan beam structures can be obtained by using Rayleigh–Ritz method. Results for various boundary conditions, ratios of thickness to length (h/L), numbers, and stiffness of supporting springs are presented. It is clearly shown that accurate solutions can be obtained by using the proposed method, and this study extends the application range of the Jacobi polynomials-Ritz method. In addition, the research results of this paper can provide data support for engineers such as bridge designers to design multispan bridges.http://dx.doi.org/10.1155/2021/4440250 |
| spellingShingle | Cong Gao Fuzhen Pang Haichao Li Hongfu Wang Jie Cui Jisi Huang Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method Shock and Vibration |
| title | Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method |
| title_full | Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method |
| title_fullStr | Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method |
| title_full_unstemmed | Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method |
| title_short | Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method |
| title_sort | free and forced vibration characteristics analysis of a multispan timoshenko beam based on the ritz method |
| url | http://dx.doi.org/10.1155/2021/4440250 |
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