Large Displacement Analysis of Toroidal Dome Structures Having Variable Thickness under External Pressure

Authors

  • Weeraphan Jiammeepreecha Department of Civil Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Satakhun Detphan Department of Civil Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Komkorn Chaidachatorn Department of Civil Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Chanchai Ngohpok Department of Civil Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Sermsak Tiyasangthong Department of Civil Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Chudapak Detphan Department of Civil Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Korakot Lerdchaipong Department of Survey Engineering, Faculty of Engineering and Technology, Rajamangala University of Technology Isan Nakhon Ratchasima
  • Sittisak Jamnam Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology North Bangkok

DOI:

https://doi.org/10.14456/rmutlengj.2024.2

Keywords:

Large Displacement Analysis, Toroidal Dome Structure, Variable Thickness, Energy Functional, Finite Element Method

Abstract

This paper presents a large displacement analysis of a toroidal dome structure having variable thickness under external pressure using differential geometry. Membrane and flexural strain energies are defined in terms of metric tensor and curvature components. The energy functional of the toroidal dome structure under external pressure is derived from the principle of virtual work, and it is expressed in the appropriate forms. Numerical results can be obtained by finite element method and iterative procedure. In this study, finite element model is simulated using one-dimensional beam elements via a fifth-order polynomial shape function, and it is divided along the meridian line. The numerical results indicate that the displacement responses of the toroidal dome structure increase for larger external pressure. The surface of the toroidal dome structure increases for a large value of the cross-sectional bend radii ratio. Then the displacement responses increase under a large value of the cross-sectional bend radii ratio. In addition, the stiffness of the toroidal dome structure decreases if the cross-sectional radius-to-wall thickness ratios increase. Therefore, the displacement responses increase under a large value of the cross-sectional radius to wall thickness ratio.

References

Pai PF, Young LG. Fully nonlinear modeling and analysis of precision membranes. International Journal of Computational Engineering Science. 2003; 4(1):19-65.

Zhan HJ, Redekop D. Static and dynamic loading of an ovaloid toroidal tank. Thin-Walled Structures. 2009; 47(6-7):760-7.

Tangbanjongkij C, Chucheepsakul S, Pulngern T, Jiammeepreecha W. Analytical and numerical approaches for stress and displacement components of pressurized elliptic toroidal vessels. International Journal of Pressure Vessels and Piping. 2022; 199:104675.

Clark RA. On the theory of thin elastic toroidal shells. Journal of Mathematics and Physics. 1950; 29(1-4):146-78.

Jordan PF. Stresses and deformations of the thin-walled pressurized torus. Journal of the Aerospace Sciences. 1962; 29(2):213-25.

SANDERS JR JL, LIEPINS AA. Toroidal membrane under internal pressure. AIAA Journal. 1963; 1(9):2105-10.

Sun B. Closed-form solution of axisymmetric slender elastic toroidal shells. Journal of Engineering Mechanics. 2010; 136(10): 1281-8.

Jiammeepreecha W, Chucheepsakul S. Nonlinear static analysis of an underwater elastic semi-toroidal shell. Thin-Walled Structures. 2017; 116:12-8.

Jiammeepreecha W, Suebsuk J, Chucheepsakul S. Nonlinear static analysis of liquid-containment toroidal shell under hydrostatic pressure. Journal of Structural Engineering. 2020 ; 1.146(1):04019169.

Jiammeepreecha W, Chaidachatorn K, Chucheepsakul S. Nonlinear static response of an underwater elastic toroidal storage container. International Journal of Solids and Structures. 2021; 228:111134.

Tangbanjongkij C, Chucheepsakul S, Pulngern T, Jiammeepreecha W. Axisymmetric buckling analysis of submerged hemi-elliptic toroidal shells. Thin-Walled Structures. 2023 ; 183:110383.

Langhaar HL. Foundations of practical shell analysis. Department of Theoretical and Applied Mechanics, University of Illinois; 1964.

Langhaar HL. Energy methods in applied mechanics. Courier Dover Publications. 2016.

Cook RD. Concepts and applications of finite element analysis. John wiley & sons; 2007.

ABAQUS US, Manual SU. Hibbitt, Karlsson, and Sorensen. Inc V5. 2005; 8.

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Published

2024-06-16

How to Cite

Jiammeepreecha, W., Detphan, S. ., Chaidachatorn, K. ., Ngohpok, C. ., Tiyasangthong, S. ., Detphan, C. ., Lerdchaipong, K. ., & Jamnam, S. . (2024). Large Displacement Analysis of Toroidal Dome Structures Having Variable Thickness under External Pressure . RMUTL Engineering Journal, 9(1), 10–21. https://doi.org/10.14456/rmutlengj.2024.2

Issue

Vol. 9 No. 1 (2024): January - June

Section

Research Article

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