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Nonlinear Bending and Stability of Prolate Semi-Ellipsoidal Shells under External Pressure and Temperature

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Abstract

Non-linear bending and stability of the clamped prolate semi-ellipsoidal domes with different wall thickness under uniform external pressure and temperature change are considered. The whole analysis is performed numerically using combination of the successive approximation method, linearization and orthogonal sweep methods. Unsymmetrical critical pressure is examined at cryogenic and elevated temperatures taking into account dependence of material characteristics on the temperature. The bifurcation loads with number of circumferential waves are determined. We find that the non-axisymmetrical critical loads for all considered domes are larger at cryogenic temperatures and decrease at higher temperatures.

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Authors and Affiliations

  1. Institute of Mechanics and Engineering, Federal Research Center Kazan Scientific Center, Russian Academy of Sciences, 420111, Kazan, Russia

    V. E. Moiseeva & Z. V. Skvortsova

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  1. V. E. Moiseeva
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  2. Z. V. Skvortsova
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Correspondence to V. E. Moiseeva or Z. V. Skvortsova.

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(Submitted by D. A. Gubaidullin)

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Moiseeva, V.E., Skvortsova, Z.V. Nonlinear Bending and Stability of Prolate Semi-Ellipsoidal Shells under External Pressure and Temperature. Lobachevskii J Math 43, 1159–1164 (2022). https://doi.org/10.1134/S1995080222080224

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  • DOI: https://doi.org/10.1134/S1995080222080224

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