Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations
The present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamp...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/2364515 |
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| _version_ | 1832551410068094976 |
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| author | Yuan Cao Rui Zhong Dong Shao Qingshan Wang Xianlei Guan |
| author_facet | Yuan Cao Rui Zhong Dong Shao Qingshan Wang Xianlei Guan |
| author_sort | Yuan Cao |
| collection | DOAJ |
| description | The present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamped or elastic connections at the interface between the plate and beams. According to IFSM, the displacement field of the plate and the stiffening beams are expressed as a combination of the Fourier cosine series and its auxiliary functions. Then, the Rayleigh–Ritz method is applied to solve the unknown Fourier coefficients, which determines the dynamic characteristics of the coupled structure. The Newmark method is adopted to obtain the transient response of the coupled structure, where the Rayleigh damping is taken into consideration. The rapid convergence of the current method is shown, and good agreement between the predicted results and FEM results is also revealed. On this basis, the effects of the factors related to the stiffening beam (including the length, orientations, and arrangement spacing of beams) and elastic parameters, as well as damping coefficients on the dynamic characteristics of the stiffened plate are investigated. |
| format | Article |
| id | doaj-art-9b305beedb334d56b7a99c1385483bf6 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-9b305beedb334d56b7a99c1385483bf62025-02-03T06:01:32ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/23645152364515Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and OrientationsYuan Cao0Rui Zhong1Dong Shao2Qingshan Wang3Xianlei Guan4Naval Research Academy, Beijing 100161, ChinaState Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, ChinaNaval Research Academy, Beijing 100161, ChinaState Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, ChinaState Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, ChinaThe present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamped or elastic connections at the interface between the plate and beams. According to IFSM, the displacement field of the plate and the stiffening beams are expressed as a combination of the Fourier cosine series and its auxiliary functions. Then, the Rayleigh–Ritz method is applied to solve the unknown Fourier coefficients, which determines the dynamic characteristics of the coupled structure. The Newmark method is adopted to obtain the transient response of the coupled structure, where the Rayleigh damping is taken into consideration. The rapid convergence of the current method is shown, and good agreement between the predicted results and FEM results is also revealed. On this basis, the effects of the factors related to the stiffening beam (including the length, orientations, and arrangement spacing of beams) and elastic parameters, as well as damping coefficients on the dynamic characteristics of the stiffened plate are investigated.http://dx.doi.org/10.1155/2019/2364515 |
| spellingShingle | Yuan Cao Rui Zhong Dong Shao Qingshan Wang Xianlei Guan Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations Shock and Vibration |
| title | Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations |
| title_full | Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations |
| title_fullStr | Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations |
| title_full_unstemmed | Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations |
| title_short | Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations |
| title_sort | dynamic analysis of rectangular plate stiffened by any number of beams with different lengths and orientations |
| url | http://dx.doi.org/10.1155/2019/2364515 |
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