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Volume 9
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Article

Analytical Method for Geometric Nonlinear Problems Based on Offshore Derricks

by
Chunbao Li
1,*,
Hui Cao
1,
Mengxin Han
1,
Pengju Qin
2 and
Xiaohui Liu
3
1
Department of Civil Engineering, China University of Petroleum (East China), Qingdao 266580, China
2
College of Civil Engineering, Taiyuan University of Technology, Taiyuan 030024, China
3
Qingdao Urban Development Group Co., Ltd., Qingdao 266061, China
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(6), 610; https://doi.org/10.3390/math9060610
Submission received: 29 January 2021 / Revised: 7 March 2021 / Accepted: 9 March 2021 / Published: 12 March 2021
(This article belongs to the Section E2: Control Theory and Mechanics)
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Abstract

The marine derrick sometimes operates under extreme weather conditions, especially wind; therefore, the buckling analysis of the components in the derrick is one of the critical contents of engineering safety research. This paper aimed to study the local stability of marine derrick and propose an analytical method for geometrically nonlinear problems. The rod in the derrick is simplified as a compression rod with simply supported ends, which is subjected to transverse uniform load. Considering the second-order effect, the differential equations were used to establish the deflection, rotation angle, and bending moment equations of the derrick rod under the lateral uniform load. This method was defined as a geometrically nonlinear analytical method. Moreover, the deflection deformation and stability of the derrick members were analyzed, and the practical calculation formula was obtained. The Ansys analysis results were compared with the calculation results in this paper.
Keywords: geometric nonlinear problem; derrick leg; deflection equation; axial force second-order effect; Ansys geometric nonlinear problem; derrick leg; deflection equation; axial force second-order effect; Ansys

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MDPI and ACS Style

Li, C.; Cao, H.; Han, M.; Qin, P.; Liu, X. Analytical Method for Geometric Nonlinear Problems Based on Offshore Derricks. Mathematics 2021, 9, 610. https://doi.org/10.3390/math9060610

AMA Style

Li C, Cao H, Han M, Qin P, Liu X. Analytical Method for Geometric Nonlinear Problems Based on Offshore Derricks. Mathematics. 2021; 9(6):610. https://doi.org/10.3390/math9060610

Chicago/Turabian Style

Li, Chunbao, Hui Cao, Mengxin Han, Pengju Qin, and Xiaohui Liu. 2021. "Analytical Method for Geometric Nonlinear Problems Based on Offshore Derricks" Mathematics 9, no. 6: 610. https://doi.org/10.3390/math9060610

APA Style

Li, C., Cao, H., Han, M., Qin, P., & Liu, X. (2021). Analytical Method for Geometric Nonlinear Problems Based on Offshore Derricks. Mathematics, 9(6), 610. https://doi.org/10.3390/math9060610

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