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

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...

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Published in:Lobachevskii journal of mathematics 2022-05, Vol.43 (5), p.1159-1164
Main Authors: Moiseeva, V. E., Skvortsova, Z. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Bending
Critical pressure
Cryogenic temperature
Domes (structural forms)
External pressure
Geometry
High temperature
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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description 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.
doi_str_mv 10.1134/S1995080222080224
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identifier ISSN: 1995-0802
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subjects Algebra
Analysis
Bending
Critical pressure
Cryogenic temperature
Domes (structural forms)
External pressure
Geometry
High temperature
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
title Nonlinear Bending and Stability of Prolate Semi-Ellipsoidal Shells under External Pressure and Temperature
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