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Transient Response Analysis for a Circular Sandwich Plate with an FGM Central Disk

Published online by Cambridge University Press:  11 August 2015

H.-L. Dai ,
T. Dai  and
S.-K. Cheng
H.-L. Dai*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University Changsha, China Key Laboratory of Manufacture and Test Techniques for Automobile Parts, Ministry of Education, Chongqing University of Technology Department of Engineering Mechanics College of Mechanical & Vehicle Engineering Hunan University Changsha, China
T. Dai
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University Changsha, China Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering, Hunan University, Changsha, China
S.-K. Cheng
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University Changsha, China Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering, Hunan University, Changsha, China
*
* Corresponding author ([email protected])
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Abstract

In this paper, transient response analysis of a circular sandwich plate with a functionally graded material (FGM) central disk and two piezoelectric layers is presented. Material properties of the FGM central disk for the circular sandwich plate are assumed to vary through the structural thickness according to a power law and the Poisson’s ratio is assumed as the same constant. Based on the first-order shear deformation theory and geometric nonlinear relationship, the nonlinear motion equations of the circular sandwich plate are formulated by using the Hamilton’s variational principle, then combining with the boundary and initial conditions, the whole problem is solved by adopting the finite difference method, Newmark method and iterative method. Numerical results are presented to illustrate that the volume fraction index, geometric parameters, mechanical and electrical loads have a great influence on transient response of the circular sandwich plate.

Keywords

Transient responseCircular sandwich plateFGM central diskPiezoelectric layer
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 4 , August 2015 , pp. 417 - 426
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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