FURTHER STUDIES ON NONLINEAR OSCILLATIONS AND CHAOS OF A SYMMETRIC CROSS-PLY LAMINATED THIN PLATE UNDER PARAMETRIC EXCITATION
- 1 February 2006
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 16 (2), 325-347
- https://doi.org/10.1142/s0218127406014836
Abstract
In this paper, the nonlinear oscillations and chaotic dynamics of a parametrically excited simply supported symmetric cross-ply laminated composite rectangular thin plate are further investigated. Considering geometric nonlinearity and nonlinear damping, a two-degree-of-freedom nonlinear system under parametric excitation is obtained to give the nonlinear governing equations of motion for laminated composite plate subjected to in-plane load. The method of multiple scales is utilized to obtain the averaged equations that are numerically solved to obtain the steady bifurcation responses and analysis of stability for laminated composite thin plate. It is illustrated that under certain conditions laminated composite thin plate may have the multiple steady bifurcation solutions and jumping may occur. The chaotic motion of rectangular symmetric cross-ply laminated composite thin plate is also found by using numerical simulation. It is found that the occurrence of the periodic, quasi-periodic and chaotic motions for a parametrically excited four-edges simply supported rectangular symmetric cross-ply laminated composite thin plate depends on the parametric excitation.Keywords
This publication has 16 references indexed in Scilit:
- Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plateChaos, Solitons, and Fractals, 2005
- GEOMETRICALLY NON-LINEAR FREE VIBRATION OF FULLY CLAMPED SYMMETRICALLY LAMINATED RECTANGULAR COMPOSITE PLATESJournal of Sound and Vibration, 2002
- Non-linear dynamic stability characteristics of elastic plates subjected to periodic in-plane loadInternational Journal of Non-Linear Mechanics, 2000
- MULTI-MODAL GEOMETRICAL NON-LINEAR FREE VIBRATION OF FULLY CLAMPED COMPOSITE LAMINATED PLATESJournal of Sound and Vibration, 1999
- Two-mode response of simply supported, rectangular laminated platesInternational Journal of Non-Linear Mechanics, 1998
- FLUTTER OF GEOMETRICALLY-IMPERFECT SHEAR-DEFORMABLE LAMINATED FLAT PANELS USING NON-LINEAR AERODYNAMICSJournal of Sound and Vibration, 1996
- Effects Of Initial Geometric Imperfections On The Interaction Between Forced And Parametric VibrationsJournal of Sound and Vibration, 1994
- Non-Linear Vibration Analysis Of Arbitrarily Laminated Thin Rectangular Plates On Elastic FoundationsJournal of Sound and Vibration, 1993
- Large Amplitude Vibrations Of Imperfect Antisymmetric Angle-ply Laminated PlatesJournal of Sound and Vibration, 1993
- Modal interaction in circular platesJournal of Sound and Vibration, 1990