On the methods of critical load estimation of spherical circle axially symmetrical shells

Abstract

A relaxation method is applied to estimate and predict a critical set of parameters responsible for stability loss (buckling) of spherical circle axially symmetric shells. The buckling phenomenon under static loading was investigated by solving the Cauchy problem for a set of ordinary differential equations and the Hausdorff metrics was applied while quantifying the data obtained within the novel approach.

Original language	English
Pages (from-to)	293-301
Number of pages	9
Journal	Thin-Walled Structures
Volume	94
DOIs	https://doi.org/10.1016/j.tws.2015.04.003
Publication status	Published - 1 Sep 2015
Externally published	Yes

Keywords

Chebyshev's method
Critical loads
Shells
Stability

ASJC Scopus subject areas

Civil and Structural Engineering
Building and Construction
Mechanical Engineering

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10.1016/j.tws.2015.04.003

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title = "On the methods of critical load estimation of spherical circle axially symmetrical shells",

abstract = "A relaxation method is applied to estimate and predict a critical set of parameters responsible for stability loss (buckling) of spherical circle axially symmetric shells. The buckling phenomenon under static loading was investigated by solving the Cauchy problem for a set of ordinary differential equations and the Hausdorff metrics was applied while quantifying the data obtained within the novel approach.",

keywords = "Chebyshev's method, Critical loads, Shells, Stability",

author = "J. Awrejcewicz and Krysko, {A. V.} and Papkova, {I. V.} and Vygodchikova, {I. Y.} and Krysko, {V. A.}",

year = "2015",

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doi = "10.1016/j.tws.2015.04.003",

language = "English",

volume = "94",

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journal = "Thin-Walled Structures",

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publisher = "Elsevier Limited",

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AU - Awrejcewicz, J.

AU - Krysko, A. V.

AU - Papkova, I. V.

AU - Vygodchikova, I. Y.

AU - Krysko, V. A.

PY - 2015/9/1

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N2 - A relaxation method is applied to estimate and predict a critical set of parameters responsible for stability loss (buckling) of spherical circle axially symmetric shells. The buckling phenomenon under static loading was investigated by solving the Cauchy problem for a set of ordinary differential equations and the Hausdorff metrics was applied while quantifying the data obtained within the novel approach.

AB - A relaxation method is applied to estimate and predict a critical set of parameters responsible for stability loss (buckling) of spherical circle axially symmetric shells. The buckling phenomenon under static loading was investigated by solving the Cauchy problem for a set of ordinary differential equations and the Hausdorff metrics was applied while quantifying the data obtained within the novel approach.

KW - Chebyshev's method

KW - Critical loads

KW - Shells

KW - Stability

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