Exact solutions for free vibration of transversely isotropic piezoelectric circular plates

2000 ◽  
Vol 16 (2) ◽  
pp. 141-147 ◽  
Author(s):  
Ding Haojiang ◽  
Xu Rongqiao ◽  
Chen Weiqui
Keyword(s):  
Free Vibration ◽  
Exact Solutions ◽  
Transversely Isotropic ◽  
Circular Plates

Exact solutions of axisymmetric free vibration of transversely isotropic magnetoelectroelastic laminated circular plates

2006 ◽  
Vol 23 (2) ◽  
pp. 115-127 ◽  
Author(s):  
Jiangying Chen ◽  
Rongqiao Xu ◽  
Xusheng Huang ◽  
Haojiang Ding
Keyword(s):  
Free Vibration ◽  
Exact Solutions ◽  
Transversely Isotropic ◽  
Circular Plates

Free Vibration of Transversely Isotropic Circular Plates

AIAA Journal ◽  
2006 ◽  
Vol 44 (10) ◽  
pp. 2415-2418 ◽  
Author(s):  
R. H. Bao ◽  
W. Q. Chen ◽  
R. Q. Xu
Keyword(s):  
Free Vibration ◽  
Transversely Isotropic ◽  
Circular Plates

Exact Analysis of Dynamic Sliding Indentation at any Constant Speed on an Orthotropic or Transversely Isotropic Half-Space

2002 ◽  
Vol 69 (3) ◽  
pp. 340-345 ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Exact Solutions ◽  
Closed Form ◽  
Plane Strain ◽  
Half Space ◽  
Contact Zone ◽  
Transversely Isotropic ◽  
Exact Formula ◽  
Constant Speed ◽  
Displacement Fields ◽  
Rigid Indentor

A plane-strain study of steady sliding by a smooth rigid indentor at any constant speed on a class of orthotropic or transversely isotropic half-spaces is performed. Exact solutions for the full displacement fields are constructed, and applied to the case of the generic parabolic indentor. The closed-form results obtained confirm previous observations that physically acceptable solutions arise for sliding speeds below the Rayleigh speed, for a single critical transonic speed, and for all supersonic speeds. Continuity of contact zone traction is lost for the latter two cases. Calculations for five representative materials indicate that contact zone width achieves minimum values at high, but not critical, subsonic sliding speeds. A key feature of the analysis is the factorization that gives, despite anisotropy, solution expressions that are rather simple in form. In particular, a compact function of the Rayleigh-type emerges that leads to a simple exact formula for the Rayleigh speed itself.

Free vibration of piezoelectric-coupled thick circular plates

2002 ◽  
Author(s):  
X. Liu ◽  
Q. Wang ◽  
Ser-Tong Quek
Keyword(s):  
Free Vibration ◽  
Circular Plates
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