Exact axisymmetric solutions for laminated transversely isotropic piezoelectric circular plate (I)

1999 ◽  
Vol 42 (4) ◽  
pp. 388-395 ◽  
Author(s):  
Haojiang Ding ◽  
Rongqiao Xu ◽  
Fenglin Guo
Keyword(s):  
Circular Plate ◽  
Transversely Isotropic ◽  
Axisymmetric Solutions ◽  
Piezoelectric Circular Plate

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.

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