Coupled horizontal and rocking vibrations of a rigid circular plate on a transversely isotropic bi-material interface

2013 ◽  
Vol 37 (11) ◽  
pp. 1367-1377 ◽  
Author(s):  
J. Labaki ◽  
E. Mesquita ◽  
R.K.N.D. Rajapakse
Keyword(s):  
Circular Plate ◽  
Transversely Isotropic ◽  
Material Interface

The Free Vibration of the Magneto-Electro-Elastic Materials Laminated Circular Plate

2011 ◽  
Vol 374-377 ◽  
pp. 2193-2199 ◽  
Author(s):  
Qun Guan
Keyword(s):  
Free Vibration ◽  
Circular Plate ◽  
Single Layer ◽  
Transversely Isotropic ◽  
State Variables ◽  
Vibration Properties ◽  
Elastic Circular Plate ◽  
Symmetric Deformation ◽  
Laminated Circular Plate ◽  
The Given

In this paper, on the basis of the dynamic equation of material which contains transversely isotropic piezoelectric、piezomagnetic and elastic media, the state variables equation of piezoelectric、piezomagnetic and elastic circular plate in axial symmetric deformation is deduced. Under the given boundary conditions, according to the theorem of Caylay-Hamilton and applying the transfer matrix method, the solutions of state variables equation which are about free vibration of piezoelectric、piezomagnetic and elastic circular plate of single layer and multilayered are obtained. The calculation example indicates that from the varying law of the first natural frequency of the plate depending on the thickness-to-radius radio of the plate under varied conditions, the vibration properties of piezoelectric、piezomagnetic and laminated plate is related to the laminatation order of the material is gotten to know.

scholarly journals Analytical Solution for Free Vibration of Multilayered Circular Plate

2011 ◽  
Vol 2-3 ◽  
pp. 948-953 ◽  
Author(s):  
Hong Jun Ren ◽  
Xu Yuan Song ◽  
Qing Kai Han
Keyword(s):  
Analytical Solution ◽  
Circular Plate ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Hankel Transform ◽  
Matrix Methods ◽  
Full Field ◽  
Lateral Boundary Conditions ◽  
Finite Hankel Transform ◽  
Propagation Matrix

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.

Sign in / Sign up

Export Citation Format

Share Document