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2012 Nonlinear Dynamics of an Electrorheological Sandwich Beam with Rotary Oscillation
Kexiang Wei, Wenming Zhang, Ping Xia, Yingchun Liu
J. Appl. Math. 2012(SI02): 1-17 (2012). DOI: 10.1155/2012/659872


The dynamic characteristics and parametric instability of a rotating electrorheological (ER) sandwich beam with rotary oscillation are numerically analyzed. Assuming that the angular velocity of an ER sandwich beam varies harmonically, the dynamic equation of the rotating beam is first derived based on Hamilton's principle. Then the coupling and nonlinear equation is discretized and solved by the finite element method. The multiple scales method is employed to determine the parametric instability of the structures. The effects of electric field on the natural frequencies, loss factor, and regions of parametric instability are presented. The results obtained indicate that the ER material layer has a significant effect on the vibration characteristics and parametric instability regions, and the ER material can be used to adjust the dynamic characteristics and stability of the rotating flexible beams.


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Kexiang Wei. Wenming Zhang. Ping Xia. Yingchun Liu. "Nonlinear Dynamics of an Electrorheological Sandwich Beam with Rotary Oscillation." J. Appl. Math. 2012 (SI02) 1 - 17, 2012.


Published: 2012
First available in Project Euclid: 16 July 2013

zbMATH: 1264.74146
MathSciNet: MR3005208
Digital Object Identifier: 10.1155/2012/659872

Rights: Copyright © 2012 Hindawi


Vol.2012 • No. SI02 • 2012
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