Theoretical calculation method of hyperbolic rotating thin shell bending problem

ObjectiveIn order to analyze the bending characteristics of a hyperbolic rotating thin shell, the complex two-dimensional mechanical problem is simplified into a one-dimensional bending problem based on Euler's Bernoulli beam theory. MethodBy analyzing the force and deformation characteristics...

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Main Authors: Er ZHANG, Shaosong MIN, Lin HUA, Cong LIU, Guotao Chen
Format: Article
Language:English
Published: Editorial Office of Chinese Journal of Ship Research 2025-04-01
Series:Zhongguo Jianchuan Yanjiu
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Online Access:http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.03594
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author Er ZHANG
Shaosong MIN
Lin HUA
Cong LIU
Guotao Chen
author_facet Er ZHANG
Shaosong MIN
Lin HUA
Cong LIU
Guotao Chen
author_sort Er ZHANG
collection DOAJ
description ObjectiveIn order to analyze the bending characteristics of a hyperbolic rotating thin shell, the complex two-dimensional mechanical problem is simplified into a one-dimensional bending problem based on Euler's Bernoulli beam theory. MethodBy analyzing the force and deformation characteristics of shells and belt beams, a structural mechanical model is established, and a double curvature rotating thin shell bending differential equation is obtained by combining the physical equation of plate and shell theory with the bending differential equation of a single-span beam. An empirical formula for typical stress is proposed and its accuracy verified by an ANSYS-based simulation. ResultsThe results show that the error between the simulation and the formula is about 2.3%, which demonstrates the high accuracy of the formula in predicting typical stress and verifies the correctness of the theoretical calculation method. ConclusionThe proposed method can provide useful references for the design and optimization of similar structure.
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issn 1673-3185
language English
publishDate 2025-04-01
publisher Editorial Office of Chinese Journal of Ship Research
record_format Article
series Zhongguo Jianchuan Yanjiu
spelling doaj-art-e9e7d65c3d3b42488a32b5da2c6eeb5a2025-08-20T02:29:34ZengEditorial Office of Chinese Journal of Ship ResearchZhongguo Jianchuan Yanjiu1673-31852025-04-0120232933410.19693/j.issn.1673-3185.03594ZG3594Theoretical calculation method of hyperbolic rotating thin shell bending problemEr ZHANG0Shaosong MIN1Lin HUA2Cong LIU3Guotao Chen4College of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, ChinaObjectiveIn order to analyze the bending characteristics of a hyperbolic rotating thin shell, the complex two-dimensional mechanical problem is simplified into a one-dimensional bending problem based on Euler's Bernoulli beam theory. MethodBy analyzing the force and deformation characteristics of shells and belt beams, a structural mechanical model is established, and a double curvature rotating thin shell bending differential equation is obtained by combining the physical equation of plate and shell theory with the bending differential equation of a single-span beam. An empirical formula for typical stress is proposed and its accuracy verified by an ANSYS-based simulation. ResultsThe results show that the error between the simulation and the formula is about 2.3%, which demonstrates the high accuracy of the formula in predicting typical stress and verifies the correctness of the theoretical calculation method. ConclusionThe proposed method can provide useful references for the design and optimization of similar structure.http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.03594double curvaturebending problemshell beltstressestheoretical calculation
spellingShingle Er ZHANG
Shaosong MIN
Lin HUA
Cong LIU
Guotao Chen
Theoretical calculation method of hyperbolic rotating thin shell bending problem
Zhongguo Jianchuan Yanjiu
double curvature
bending problem
shell belt
stresses
theoretical calculation
title Theoretical calculation method of hyperbolic rotating thin shell bending problem
title_full Theoretical calculation method of hyperbolic rotating thin shell bending problem
title_fullStr Theoretical calculation method of hyperbolic rotating thin shell bending problem
title_full_unstemmed Theoretical calculation method of hyperbolic rotating thin shell bending problem
title_short Theoretical calculation method of hyperbolic rotating thin shell bending problem
title_sort theoretical calculation method of hyperbolic rotating thin shell bending problem
topic double curvature
bending problem
shell belt
stresses
theoretical calculation
url http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.03594
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AT shaosongmin theoreticalcalculationmethodofhyperbolicrotatingthinshellbendingproblem
AT linhua theoreticalcalculationmethodofhyperbolicrotatingthinshellbendingproblem
AT congliu theoreticalcalculationmethodofhyperbolicrotatingthinshellbendingproblem
AT guotaochen theoreticalcalculationmethodofhyperbolicrotatingthinshellbendingproblem