Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof

Xiong Jianfeng; Yan Xiaojie; Jiang Puyu; Liu Jun; Cheng Yuansheng

doi:10.19693/j.issn.1673-3185.01207

Volume 14 Issue 4

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Chinese Journal of Ship Research > 2019 > 14(4): 61-66. > DOI: 10.19693/j.issn.1673-3185.01207 CSTR: 32390.14.j.issn.1673-3185.01207

Xiong Jianfeng, Yan Xiaojie, Jiang Puyu, Liu Jun, Cheng Yuansheng. Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof[J]. Chinese Journal of Ship Research, 2019, 14(4): 61-66. DOI: 10.19693/j.issn.1673-3185.01207

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Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof

1.
School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
2.
National Key Laboratory on Ship Vibration & Noise, China Ship Development and Design Center, Wuhan 430064, China

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Received Date: March 05, 2018
Available Online: May 07, 2021

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

Abstract

Objectives To find the worst-case of a deck structure under patch loading quickly.
Methods 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.
Results 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.
Conclusions 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.
- multi-span beam,
- patch loading,
- bending,
- arbitrary boundary conditions,
- Hamilton principle,
- worst-case analysis

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Bending calculation of multi-span beam under arbitrary boundary conditions and engineering application thereof