Static Analysis of Laminated Plates with Variable Thickness using the Differential Quadrature Method

2011 ◽  
Author(s):  
M. Tuna ◽  
H.S. Turkmen
Keyword(s):  
Static Analysis ◽  
Variable Thickness ◽  
Differential Quadrature Method ◽  
Laminated Plates ◽  
Differential Quadrature ◽  
Quadrature Method

Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method

2008 ◽  
Vol 222 (6) ◽  
pp. 865-880 ◽  
Author(s):  
A Alibeigloo
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Static Analysis ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
State Equations ◽  
Dimensional Solution ◽  
Piezoelectric Layers ◽  
Laminated Cylindrical Shell

A three-dimensional solution is presented for the static analysis of an anisotropic laminated cylindrical shell embedded in piezoelectric layers with arbitrary conditions at the ends, using the differential quadrature method (DQM). With the Soong assumption, governing equations are reduced to differential equations with constant coefficients. By applying the DQM to the obtained governing differential equations and to the boundary conditions along the longitudinal direction, new state equations for state variables are derived at discrete points. Stress, displacement, and electric potential distributions are obtained by solving these state equations. Both direct and inverse piezoelectric effects are investigated, and the influence of piezoelectric layers on the mechanical behaviour of the shell is studied. The method is validated by comparing the numerical results for the shell with the simply supported edges, which can be solved analytically.

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