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.

Original language	English
Article number	59709
Pages (from-to)	1-8
Number of pages	8
Journal	Differential Equations and Nonlinear Mechanics
Volume	2006
DOIs	https://doi.org/10.1155/DENM/2006/59709
Publication status	Published - 16 Oct 2006
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mechanics of Materials
Applied Mathematics

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10.1155/DENM/2006/59709

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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 = oct,

day = "16",

doi = "10.1155/DENM/2006/59709",

language = "English",

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pages = "1--8",

journal = "Differential Equations and Nonlinear Mechanics",

issn = "1687-4099",

publisher = "Hindawi Publishing Corporation",

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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.

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