Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method
In this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve. By expanding the domain of admissible functions out of the structural domain to form a...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/7041592 |
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| _version_ | 1832546181654249472 |
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| author | Wenjie Guo Qingsong Feng |
| author_facet | Wenjie Guo Qingsong Feng |
| author_sort | Wenjie Guo |
| collection | DOAJ |
| description | In this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve. By expanding the domain of admissible functions out of the structural domain to form a rectangular domain, the admissible functions of arbitrary-shaped plates can be described conveniently by selecting the appropriate admissible functions. Adopting the spring model to simulate the general boundary conditions, the problems of vibration of the arbitrary plate domain can be solved perfectly. Then, a numerical method is introduced to figure out the structure strain energy, kinetic energy, and elastic potential energy of the boundary. Finally, comparing the result with the simulation results and reference examples, the accuracy and convergence of this method are testified. Therefore, an effective new method is proposed for the guidance of the related research and practical engineering problems. |
| format | Article |
| id | doaj-art-2254b51218ac443e977296c754404dd5 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-2254b51218ac443e977296c754404dd52025-02-03T07:23:34ZengWileyAdvances in Civil Engineering1687-80861687-80942019-01-01201910.1155/2019/70415927041592Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz MethodWenjie Guo0Qingsong Feng1Engineering Research Center of Railway Environment Vibration and Noise Ministry Education, East China Jiaotong University, Nanchang 330013, ChinaEngineering Research Center of Railway Environment Vibration and Noise Ministry Education, East China Jiaotong University, Nanchang 330013, ChinaIn this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve. By expanding the domain of admissible functions out of the structural domain to form a rectangular domain, the admissible functions of arbitrary-shaped plates can be described conveniently by selecting the appropriate admissible functions. Adopting the spring model to simulate the general boundary conditions, the problems of vibration of the arbitrary plate domain can be solved perfectly. Then, a numerical method is introduced to figure out the structure strain energy, kinetic energy, and elastic potential energy of the boundary. Finally, comparing the result with the simulation results and reference examples, the accuracy and convergence of this method are testified. Therefore, an effective new method is proposed for the guidance of the related research and practical engineering problems.http://dx.doi.org/10.1155/2019/7041592 |
| spellingShingle | Wenjie Guo Qingsong Feng Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method Advances in Civil Engineering |
| title | Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method |
| title_full | Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method |
| title_fullStr | Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method |
| title_full_unstemmed | Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method |
| title_short | Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method |
| title_sort | free vibration analysis of arbitrary shaped plates based on the improved rayleigh ritz method |
| url | http://dx.doi.org/10.1155/2019/7041592 |
| work_keys_str_mv | AT wenjieguo freevibrationanalysisofarbitraryshapedplatesbasedontheimprovedrayleighritzmethod AT qingsongfeng freevibrationanalysisofarbitraryshapedplatesbasedontheimprovedrayleighritzmethod |