Chaotic vibrations of sector-type spherical shells

A. V. Krysko, J. Awrejcewicz, I. V. Papkova

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this work, chaotic vibrations of shallow sector-type spherical shells are studied. A sector-type shallow shell is understood as a shell defined by a sector with associated boundary conditions and obtained by cutting a spherical shell for a given angle Θk, or it is a sector of a shallow spherical cap associated with the mentioned angle. Both static stability and complex nonlinear dynamics of the mentioned mechanical objects subjected to transversal uniformly distributed sign-changeable load are analyzed, and the so-called vibration charts and scales regarding the chosen control parameters are reported. In particular scenarios of transition from regular to chaotic dynamics of the mentioned shells are investigated A novel method to control chaotic dynamics of the studied flexible spherical shells driven by transversal sign-changeable load via synchronized action of the sign-changeable antitorque is proposed and applied. All investigations are carried out within the fields of qualitative theory of differential equations and nonlinear dynamics.

Original languageEnglish
Article number041005
JournalJournal of Computational and Nonlinear Dynamics
Volume3
Issue number4
DOIs
Publication statusPublished - 1 Oct 2008
Externally publishedYes

Fingerprint

Spherical Shell
Sector
Vibration
Chaotic Dynamics
Nonlinear Dynamics
Shell
Angle
Shallow Shell
Complex Dynamics
Chart
Control Parameter
Differential equations
Boundary conditions
Differential equation
Scenarios

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Chaotic vibrations of sector-type spherical shells. / Krysko, A. V.; Awrejcewicz, J.; Papkova, I. V.

In: Journal of Computational and Nonlinear Dynamics, Vol. 3, No. 4, 041005, 01.10.2008.

Research output: Contribution to journalArticle

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