Analytical and numerical analysis of filament-wound toroidal pressure vessel loaded by internal pressure and temperature field

Zdeněk Padovec

Analytical and numerical analysis of filament-wound toroidal pressure vessel loaded by internal pressure and temperature field

Číslo: 4/2025
Periodikum: Acta Polytechnica
DOI: 10.14311/ap.2025.65.0442

Klíčová slova: toroidal pressure vessel, filament winding, stress analysis, classic lamination theory, FEM

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Anotace: The presented work deals with the analysis of a toroidal pressure vessel manufactured using filament winding technology. An analytical model based on netting theory was used to determine the pressure vessel meridian curve, winding angle, and thickness change for two ratios of the inner and outer radius of the toroid. The theory of orthotropic continuum was used to determine the stress distribution along the meridian of the torus for loading by internal pressure and temperature field. The stress state was also analysed with the strength criteria for composite materials. The Finite Element Method (FEM) was used for the validation of the analytical model and for the determination of the filling hole effect on the stress state – the violation of membrane stress in its vicinity. The analytical model provides a fast solution, the validity of which was confirmed by FEM, that the temperature (especially after the curing process) has a non-negligible effect on the resulting failure index.