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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Krysko, V. A., Awrejcewicz, J., Saveleva, N. E., & Krysko, A. V. (2006). Dynamics of flexible shells and Sharkovskiy's periodicity. Differential Equations and Nonlinear Mechanics, 2006, 1-8. [59709]. https://doi.org/10.1155/DENM/2006/59709

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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.",

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