Regular and Chaotic Dynamics of Flexible Plates. (1st July 2014)

• Record Type: Journal Article
• Authors: Awrejcewicz, J.; Krylova, E. Yu.; Papkova, I.V.; Krysko, V. A.
• Other Names: Maia Nuno Academic Editor.
• Is Part Of: Shock and vibration. Volume 2014(2014)
• Publication Date: 2014-07-01
• Subjects: Shock (Mechanics) -- Periodicals; Vibration -- Periodicals; 534.5
• DOI: 10.1155/2014/937967
• Languages: English
• ISSNs: 1070-9622

Abstract

Abstract : Nonlinear dynamics of flexible rectangular plates subjected to the action of longitudinal and time periodic load distributed on the plate perimeter is investigated. Applying both the classical Fourier and wavelet analysis we illustrate three different Feigenbaum type scenarios of transition from a regular to chaotic dynamics. We show that the system vibrations change with respect not only to the change of control parameters, but also to all fixed parameters (system dynamics changes when the independent variable, time, increases). In addition, we show that chaotic dynamics may appear also after the second Hopf bifurcation. Curves of equal deflections (isoclines) lose their previous symmetry while transiting into chaotic vibrations.