Nonliear Dynamic Behaviors of an Axially Acceleratinglarge Deflection Thin Plate
The stability and bifurcations of an axially accelerating plate with large transverse deflections were investigated. The governing dynamic equations of an axially accelerating plate were derived with D'Alembert's principle based on von Kàrmàn's nonlinear plate theory. Galerkin metod was employed to discretize the governing partial differential equations into a set of ordinary differential equations. with numerical method, the bifurcation diagrams were presented with respect to some parameters, such as, mean velocity, velocity amplitude and excitation amplitude. The dynamic behaviors were identified based on poincaré map and maximum lyapunov exponent. Periodic, quasi-periodic and even chaotic motions were located in the bifurcation diagram for the transverse vibration of the axially moving plate.
J. Liu et al., "Nonliear Dynamic Behaviors of an Axially Acceleratinglarge Deflection Thin Plate," Zhendong yu Chongji/Journal of Vibration and Shock, ProQuest, Jan 2012.
Mechanical and Aerospace Engineering
Keywords and Phrases
Axially Accelerating Plate; Bifurcation; Chaos; Maximum Lyapunov Exponent; Nonlinear Vibration
Article - Journal
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