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Stability of Shells of Revolution with Different Gaussian Curvature in the Field of Combined Static Loads

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The stability of equilibrium states of shells of revolution with nonzero Gaussian curvature under combined axisymmetric loads is analyzed. The analysis is based on a dynamic stability criterion and allows for the nonlinearity and inhomogeneity of subcritical state and mutual influence of the loads. The stability domains of shells with positive, negative, and alternating curvature at different combinations of distributed pressure and boundary forces and moments are constructed. Substantial differences in sizes and configurations of the stability domains and in buckling modes on the boundary of interaction of the loads are revealed depending on the sign of the curvature.

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Correspondence to O. I. Bespalova.

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Translated from Prikladnaya Mekhanika, Vol. 57, No. 4, pp. 35–46, July–August 2021.

This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).

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Bespalova, O.I., Boreiko, N.P. Stability of Shells of Revolution with Different Gaussian Curvature in the Field of Combined Static Loads. Int Appl Mech 57, 405–413 (2021). https://doi.org/10.1007/s10778-021-01092-4

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  • DOI: https://doi.org/10.1007/s10778-021-01092-4

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