Free vibration of simply supported and multilayered magneto-electro-elastic plates

Based on three-dimensional elasticity theory, semi-analytical solutions for free vibration of simply supported and multilayered magneto-electro-elastic plates have been derived applying a newly developed hybrid analysis, which combines the state space approach (SSA) and the discrete singular convolu...

Full description

Saved in:
Bibliographic Details
Published in:Composite structures 2015-03, Vol.121, p.344-350
Main Authors: Xin, Libo, Hu, Zhendong
Format: Article
Language:English
Subjects:
Composite structures
Convergence
Differential equations
Differential scanning calorimetry
Discrete singular convolution
Free vibration
Magneto-electro-elastic plate
Multilayered
Plates
State space method
Three dimensional
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Based on three-dimensional elasticity theory, semi-analytical solutions for free vibration of simply supported and multilayered magneto-electro-elastic plates have been derived applying a newly developed hybrid analysis, which combines the state space approach (SSA) and the discrete singular convolution (DSC) algorithm. The thickness direction of plate is selected as the transfer direction in SSA, and the DSC is applied to discretize the in-plane domains. Hence, the original partial differential equations are translated into a state equation consisting of first-order ordinary differential equations. The application of DSC makes it possible to treat various boundary conditions, and shows excellent performance for high frequency vibration. The accuracy and convergence of SS-DSC is validate through numerical examples.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2014.11.030