Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof
<b>[Objectives]</b> To find the worst-case of a deck structure under patch loading quickly.<b>[Methods]</b> For the bending of a multi-span beam under arbitrary boundary conditions,an Improved Fourier Series Method(IFSM)is used to describe the displacement functions of the mu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Editorial Office of Chinese Journal of Ship Research
2019-08-01
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| Series: | Zhongguo Jianchuan Yanjiu |
| Subjects: | |
| Online Access: | http://www.ship-research.com/EN/Y2019/V14/I4/61 |
| _version_ | 1818993117836083200 |
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| author | Xiong Jianfeng Yan Xiaojie Jiang Puyu Liu Jun Cheng Yuansheng |
| author_facet | Xiong Jianfeng Yan Xiaojie Jiang Puyu Liu Jun Cheng Yuansheng |
| author_sort | Xiong Jianfeng |
| collection | DOAJ |
| description | <b>[Objectives]</b> To find the worst-case of a deck structure under patch loading quickly.<b>[Methods]</b> For the bending of a multi-span beam under arbitrary boundary conditions,an Improved Fourier Series Method(IFSM)is used to describe the displacement functions of the multi-span beam,list the boundary equations that the displacement functions need to meet and solve such equations to obtain the relational expressions of coefficients;and then an energy control equation is obtained on the basis of the Hamilton principle,the displacement functions of beam structure satisfying the boundary conditions is acquired with the Galerkin method,and the functions are compared with the finite element results by means of example analysis. Finally,this method is applied to the calculation of the worst-case analysis of multi-span beam under patch loading.<b>[Results]</b> The results show that the error between the result of this paper and the finite element analysis is less than 0.05%,indicating good accuracy.<b>[Conclusions]</b> Compared with finite element method,the speed of solving the worst-case of the multi-span beam is greatly reduced by using this method,and a more accurate location to which the worst-case of patching loading is applied is obtained by combining the genetic algorithms. |
| first_indexed | 2024-12-20T20:36:58Z |
| format | Article |
| id | doaj.art-439c389d3cd3483c944e101e08e7d064 |
| institution | Directory Open Access Journal |
| issn | 1673-3185 1673-3185 |
| language | English |
| last_indexed | 2024-12-20T20:36:58Z |
| publishDate | 2019-08-01 |
| publisher | Editorial Office of Chinese Journal of Ship Research |
| record_format | Article |
| series | Zhongguo Jianchuan Yanjiu |
| spelling | doaj.art-439c389d3cd3483c944e101e08e7d0642022-12-21T19:27:13ZengEditorial Office of Chinese Journal of Ship ResearchZhongguo Jianchuan Yanjiu1673-31851673-31852019-08-01144616610.19693/j.issn.1673-3185.01207201904009Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereofXiong Jianfeng0Yan Xiaojie1Jiang Puyu2Liu Jun3Cheng Yuansheng4School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaNational Key Laboratory on Ship Vibration & Noise, China Ship Development and Design Center, Wuhan 430064, ChinaSchool of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China<b>[Objectives]</b> To find the worst-case of a deck structure under patch loading quickly.<b>[Methods]</b> For the bending of a multi-span beam under arbitrary boundary conditions,an Improved Fourier Series Method(IFSM)is used to describe the displacement functions of the multi-span beam,list the boundary equations that the displacement functions need to meet and solve such equations to obtain the relational expressions of coefficients;and then an energy control equation is obtained on the basis of the Hamilton principle,the displacement functions of beam structure satisfying the boundary conditions is acquired with the Galerkin method,and the functions are compared with the finite element results by means of example analysis. Finally,this method is applied to the calculation of the worst-case analysis of multi-span beam under patch loading.<b>[Results]</b> The results show that the error between the result of this paper and the finite element analysis is less than 0.05%,indicating good accuracy.<b>[Conclusions]</b> Compared with finite element method,the speed of solving the worst-case of the multi-span beam is greatly reduced by using this method,and a more accurate location to which the worst-case of patching loading is applied is obtained by combining the genetic algorithms.http://www.ship-research.com/EN/Y2019/V14/I4/61multi-span beampatch loadingbendingarbitrary boundary conditionsHamilton principleworst-case analysis |
| spellingShingle | Xiong Jianfeng Yan Xiaojie Jiang Puyu Liu Jun Cheng Yuansheng Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof Zhongguo Jianchuan Yanjiu multi-span beam patch loading bending arbitrary boundary conditions Hamilton principle worst-case analysis |
| title | Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof |
| title_full | Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof |
| title_fullStr | Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof |
| title_full_unstemmed | Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof |
| title_short | Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof |
| title_sort | bending calculation of multi span beam under arbitrary boundary conditions and engineering application thereof |
| topic | multi-span beam patch loading bending arbitrary boundary conditions Hamilton principle worst-case analysis |
| url | http://www.ship-research.com/EN/Y2019/V14/I4/61 |
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