Differential Equations and Nonlinear Mechanics
Volume 2006 (2006), Article ID 59709, 8 pages
doi:10.1155/DENM/2006/59709
Dynamics of flexible shells and Sharkovskiy's periodicity
Vadim A. Krysko1
, Jan Awrejcewicz2
, Natalya E. Saveleva1
and Anton V. Krysko1
1Department of Mathematics, Saratov University, Saratov 410054, Russia
2Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowskiego Street, Łódź 90-924, Poland
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.