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Publishing Language: Chinese

Theoretical calculation method of hyperbolic rotating thin shell bending problem

Er ZHANG, Shaosong MIN( ), Lin HUA, Cong LIU, Guotao Chen( )
College of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, China
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Abstract

Objective

In 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.

Method

By 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.

Results

The 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.

Conclusion

The proposed method can provide useful references for the design and optimization of similar structure.

Keywords

double curvaturebending problemshell beltstressestheoretical calculation
CLC number: U663.1 Document code: A

References

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Chinese Journal of Ship Research
Volume 20 Issue 2,
April 2025
Pages 329-334
DOI: 10.19693/j.issn.1673-3185.03594

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Cite this article:
ZHANG E, MIN S, HUA L, et al. Theoretical calculation method of hyperbolic rotating thin shell bending problem. Chinese Journal of Ship Research, 2025, 20(2): 329-334. https://doi.org/10.19693/j.issn.1673-3185.03594

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Received: 16 October 2023
Revised: 28 November 2023
Published: 17 December 2024
© 2025 Chinese Journal of Ship Research.