Nonlinear Dynamical Behaviors of Axially Moving Large Deflection Plates
The stability and bifurcations of axially moving plates with large transverse deflections are investigated. The governing equations of an axially moving plate are derived through the D'Alembert's principle based on von Kàrmàn's nonlinear plate theory. The Galerkin metod is employed to discretize the governing partial differential equations into a set of ordinary differential equations. by a numerical method, the bifurcation diagrams are presented with respect to some parameters such as transport speed, amplitude of exciting, the ratio of the length to the width of plates and the longitudinal tension. The dynamical behaviors are identified based on the Poincaré map and the Largest Lyapunov Exponent. Periodic, quasi-periodic and even chaotic motions are located in the bifurcation diagram for the transverse vibration of the axially moving plate.
J. Liu et al., "Nonlinear Dynamical Behaviors of Axially Moving Large Deflection Plates," Gongcheng Lixue/Engineering Mechanics, Engineering Mechanics, Jan 2011.
Mechanical and Aerospace Engineering
Keywords and Phrases
Axially Moving Plates; Bifurcation; Chaos; Largest Lyapunov Exponent; Nonlinear Vibration
Article - Journal
© 2011 Engineering Mechanics, All rights reserved.
01 Jan 2011