The Bifurcation and Chaotic Characters of an Intelligent Magnetoelectroelastic Thin Plate

X.J. Ren; C.X. Xue

doi:10.4028/www.scientific.net/AMM.494-495.693

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 494-495The Bifurcation and Chaotic Characters of an...

The Bifurcation and Chaotic Characters of an Intelligent Magnetoelectroelastic Thin Plate

Abstract:

In this paper, an intelligent magnetoelectroelastic thin plate is coupled with a transverse magnetic field and uniformly distributed load. Considering the von Karman plate theory of large deflection and the geometric nonlinearity, the damping Duffing equation is obtained. Using the Melnikov function method, the Chaos condition of the system under the Smale horseshoe transformation is obtained. The bifurcation diagram, the wave diagram of displacement, and the phase diagram are shown here by the numerical analysis. The simulation results show the complex nonlinear vibration characters of the intelligent magneto-electro-elastic thin plate.

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Periodical:

Applied Mechanics and Materials (Volumes 494-495)

Pages:

693-696

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.494-495.693

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Online since:

February 2014

Authors:

X.J. Ren, C.X. Xue*

Keywords:

Bifurcation, Chaos, Intelligent Magnetoelectroelastic Thin Plate, Large Deflection Theory, Melnikov Function Method

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