Exact Solutions for Axisymmetric Bending of Laminated Cylindrical Shells With General Boundary Conditions

HU Wenfeng; FENG Jinsheng; MENG Qiao; SHI Lei; ZHU Jun; CAO Zhengwen

doi:10.21656/1000-0887.450139

Volume 46 Issue 7

Jul. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(7): 867-881

HU Wenfeng, FENG Jinsheng, MENG Qiao, SHI Lei, ZHU Jun, CAO Zhengwen. Exact Solutions for Axisymmetric Bending of Laminated Cylindrical Shells With General Boundary Conditions[J]. Applied Mathematics and Mechanics, 2025, 46(7): 867-881. doi: 10.21656/1000-0887.450139

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Exact Solutions for Axisymmetric Bending of Laminated Cylindrical Shells With General Boundary Conditions

doi: 10.21656/1000-0887.450139

HU Wenfeng^{1, 2, 3
,},
FENG Jinsheng³,
MENG Qiao³,
SHI Lei^{3, 4},
ZHU Jun^{1
,
,},
CAO Zhengwen^2
,

1.
Nantong Taisheng Blue Island Offshore Co., Ltd., Nantong, Jiangsu 226200, P.R.China
2.
School of Information Science and Technology, Northwest University, Xi'an 710127, P.R.China
3.
School of Mechanical Engineering, Anhui University of Technology, Maanshan, Anhui 243032, P.R.China
4.
WindSun Science & Technology Co., Ltd., Jining, Shandong 272500, P.R.China

Received Date: 2024-05-12
Rev Recd Date: 2024-12-25

Available Online: 2025-07-30

Publish Date: 2025-07-01

Abstract

Abstract

Due to the excellent properties of materials and structures, composite laminated cylindrical shells are widely used in such key fields as chemical, marine and aerospace engineering. However, the local mechanical responses near the interfaces and boundaries are complex and affect the performances of the structures. As an effective method to obtain the exact solutions of the laminated structures, the state space method needs the numerical simulation to deal with the non-simply supported boundaries. Based on the state space framework for laminated cylindrical shells, the boundary displacement functions at the non-simply supported ends were introduced into the state equations as state variables, and homogeneous state equations were established to strictly satisfy the boundary conditions. Then, the variable coefficients in the state equations were converted to constants with the lamination approximate method, and the transfer relations of the mechanical quantities along the thickness of the laminated cylindrical shell were established. Finally, the loading conditions on the surfaces of the cylindrical shells were introduced with the Fourier series, and the exact solutions to the axisymmetric bending problems were obtained. The examples show that, the present solutions are consistent with the finite element ones, and give the exact distributions of the stresses and displacements along the axial and radial directions of the laminated cylindrical shells. In addition, the displacement and stress distributions near the clamped and free ends help illustrate the end effects of the two constraints.
- general boundary condition,
- axisymmetric bending,
- state space method,
- boundary displacement function,
- laminated cylindrical shell

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References(27)

References

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