Title

Nonliear Dynamic Behaviors of an Axially Acceleratinglarge Deflection Thin Plate

Abstract

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.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Axially Accelerating Plate; Bifurcation; Chaos; Maximum Lyapunov Exponent; Nonlinear Vibration

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 ProQuest, All rights reserved.

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