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Research Papers

Rapid Heating Induced Vibration of Magnetostrictive Functionally Graded Material Plates

[+] Author and Article Information
C. C. Hong

Department of Mechanical Engineering,  Hsiuping University of Science and Technology, Taichung, 412 Taiwan, R.O.C.cchong@mail.hust.edu.tw

J. Vib. Acoust 134(2), 021019 (Jan 26, 2012) (11 pages) doi:10.1115/1.4004663 History: Received October 30, 2009; Accepted May 03, 2011; Published January 26, 2012; Online January 26, 2012

The thermal vibration study of magnetostrictive functionally graded material (FGM) plate under rapid heating is computed by using the generalized differential quadrature (GDQ) method. The dynamic equilibrium differential equations with displacements and shear rotations of magnetostrictive FGM plate under the rapid heating are normalized and discretized into the dynamic discretized equations. The computational solutions of magnetostrictive FGM plate with four simply supported edges are obtained. Some parametric effects on the magnetostrictive FGM plates are analyzed, they are: thickness of mounted magnetostrictive layer, control gains of the proportional negative derivative, rapid heating flux values, and power law index values of FGM plate.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Efgm/E2 versus z/h

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Figure 2

The geometry and configuration of the magnetostrictive FGM plate

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Figure 3

Error (%) of center deflection versus a/h*

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Figure 4

w  (a/2,b/2) versus t for a/h*=50

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Figure 5

σx versus t for thin plate a/h*=50

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Figure 6

(a) w  (a/2,b/2) versus t for kcc(t)=0 and -109 (b) Compared w  (a/2,b/2) versus t under k1,k2q0 effects

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Figure 7

(a) σx versus t for a/h*=5 (b) σyz versus t for a/h*=5

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Figure 8

w  (a/2,b/2) versus t for a/h*=5

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Figure 9

(a) σx versus t for a/h*=5 and (b) σyz versus t for a/h*=5

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Figure 10

(a) w  (a/2,b/2) versus h3/h* for q0=2  J/(s  m2) (b) w  (a/2,b/2) versus h3/h* for q0=20  J/(s  m2)

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Figure 11

(a) σyz versus h3/h* for q0=2  J/(s  m2) (b) σyz versus h3/h* for q0=20  J/(s  m2)

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