Dynamics of flexible shells and Sharkovskiy's periodicity

Vadim A. Krysko, Jan Awrejcewicz, Natalya E. Saveleva, Anton V. Krysko

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.

Original languageEnglish
Article number59709
Pages (from-to)1-8
Number of pages8
JournalDifferential Equations and Nonlinear Mechanics
Volume2006
DOIs
Publication statusPublished - 16 Oct 2006
Externally publishedYes

Fingerprint

Ordinary differential equations
Periodicity
Numerical analysis
Shell
Differential equations
Galerkin
Nonlinear Dynamics
Numerical Analysis
Ordinary differential equation
Vibration
Higher Order
Differential equation
Partial
Background

ASJC Scopus subject areas

  • Analysis
  • Mechanics of Materials
  • Applied Mathematics

Cite this

Dynamics of flexible shells and Sharkovskiy's periodicity. / Krysko, Vadim A.; Awrejcewicz, Jan; Saveleva, Natalya E.; Krysko, Anton V.

In: Differential Equations and Nonlinear Mechanics, Vol. 2006, 59709, 16.10.2006, p. 1-8.

Research output: Contribution to journalArticle

Krysko, Vadim A. ; Awrejcewicz, Jan ; Saveleva, Natalya E. ; Krysko, Anton V. / Dynamics of flexible shells and Sharkovskiy's periodicity. In: Differential Equations and Nonlinear Mechanics. 2006 ; Vol. 2006. pp. 1-8.
@article{43a1392118774a49a74692887745e803,
title = "Dynamics of flexible shells and Sharkovskiy's periodicity",
abstract = "Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.",
author = "Krysko, {Vadim A.} and Jan Awrejcewicz and Saveleva, {Natalya E.} and Krysko, {Anton V.}",
year = "2006",
month = "10",
day = "16",
doi = "10.1155/DENM/2006/59709",
language = "English",
volume = "2006",
pages = "1--8",
journal = "Differential Equations and Nonlinear Mechanics",
issn = "1687-4099",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Dynamics of flexible shells and Sharkovskiy's periodicity

AU - Krysko, Vadim A.

AU - Awrejcewicz, Jan

AU - Saveleva, Natalya E.

AU - Krysko, Anton V.

PY - 2006/10/16

Y1 - 2006/10/16

N2 - Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.

AB - Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.

UR - http://www.scopus.com/inward/record.url?scp=33749550463&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749550463&partnerID=8YFLogxK

U2 - 10.1155/DENM/2006/59709

DO - 10.1155/DENM/2006/59709

M3 - Article

VL - 2006

SP - 1

EP - 8

JO - Differential Equations and Nonlinear Mechanics

JF - Differential Equations and Nonlinear Mechanics

SN - 1687-4099

M1 - 59709

ER -