Chaotic dynamic buckling of rectangular spherical shells under harmonic lateral load

J. Awrejcewicz, A. V. Krysko, M. V. Zhigalov, V. A. Krysko

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Dynamic bucking criteria for spherical shells of a rectangular form under sinusoidal lateral load are proposed and developed taking into consideration geometric and physical non-linearity. A mathematical model of thin shallow shells is constructed on the basis of the Kirchoff-Love hypothesis and the von Kármán geometric non-linearity, whereas the physical non-linearity follows the Ilyushin theory of plastic deformations. Reliability of the results is proved by comparing them with the results obtained by means of higher-order approximations of the Faedo-Galerkin method. Three scenarios (Feigenbaum, Ruelle-Takens-Newhouse and Pomeau-Manneville) are detected while transiting from regular to quasi-periodic/chaotic vibrations.

Original languageEnglish
Pages (from-to)80-99
Number of pages20
JournalComputers and Structures
Volume191
DOIs
Publication statusPublished - 15 Oct 2017

Fingerprint

Dynamic Buckling
Spherical Shell
Chaotic Dynamics
Galerkin methods
Buckling
Lateral
Plastic deformation
Harmonic
Faedo-Galerkin Method
Nonlinearity
Mathematical models
Shallow Shell
Geometric Nonlinearity
Higher Order Approximation
Thin Shells
Plastic Deformation
Vibration
Mathematical Model
Scenarios

Keywords

  • Chaos
  • Faedo-Galerkin method
  • Fnite difference method
  • Non-linearity
  • Shells
  • Vibrations

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

Chaotic dynamic buckling of rectangular spherical shells under harmonic lateral load. / Awrejcewicz, J.; Krysko, A. V.; Zhigalov, M. V.; Krysko, V. A.

In: Computers and Structures, Vol. 191, 15.10.2017, p. 80-99.

Research output: Contribution to journalArticle

Awrejcewicz, J. ; Krysko, A. V. ; Zhigalov, M. V. ; Krysko, V. A. / Chaotic dynamic buckling of rectangular spherical shells under harmonic lateral load. In: Computers and Structures. 2017 ; Vol. 191. pp. 80-99.
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