Analytical Solution for Free Vibration of Multilayered Circular Plate

An analytical solution is deduced for a three-dimensional transversely isotropic axisymmetric multilayered circular plate made of piezoelectric (PE) and piezomagnetic (PM) under simply supported boundary condition. The state space vector, finite Hankel transform and propagation matrix methods are ut...

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Bibliographic Details
Published inAdvanced engineering forum Vol. 2-3; pp. 948 - 953
Main Authors Ren, Hong Jun, Song, Xu Yuan, Han, Qing Kai
Format Journal Article
LanguageEnglish
Published Trans Tech Publications Ltd 01.01.2012
Subjects
Multilayered Circular Plate
Finite Hankel Transform
Propagation Matrix Method
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Summary:An analytical solution is deduced for a three-dimensional transversely isotropic axisymmetric multilayered circular plate made of piezoelectric (PE) and piezomagnetic (PM) under simply supported boundary condition. The state space vector, finite Hankel transform and propagation matrix methods are utilized together to obtain the full-field solutions for the multilayered circle plate. Numerical examples for five-layered PE/PM composites with dimensionless frequencies of the multilayered plate under simple-supported lateral boundary conditions are presented. The frequencies increase with the ratio of the thickness to radius.
Bibliography:Selected, peer reviewed papers from the 2011 International Conference on Mechatronics and Information Technology, (ICMIT 2011), August 16-19, 2011, Shenyang, China
ISSN:2234-9898
2234-991X
2234-991X
DOI:10.4028/www.scientific.net/AEF.2-3.948