Static analysis of functionally graded cylindrical shell with piezoelectric layers using differential quadrature method

2010 ◽  
Vol 92 (8) ◽  
pp. 1775-1785 ◽  
Author(s):  
A. Alibeigloo ◽  
V. Nouri
Keyword(s):  
Cylindrical Shell ◽  
Static Analysis ◽  
Differential Quadrature Method ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Piezoelectric Layers

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.

Elasticity Solution of Free Vibration and Bending Behavior of Functionally Graded Carbon Nanotube-Reinforced Composite Beam with Thin Piezoelectric Layers Using Differential Quadrature Method

2015 ◽  
Vol 07 (01) ◽  
pp. 1550002 ◽  
Author(s):  
A. Alibeigloo ◽  
K. M. Liew
Keyword(s):  
Carbon Nanotube ◽  
Boundary Conditions ◽  
Mechanical Behavior ◽  
State Space ◽  
Differential Quadrature Method ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Reinforced Composite ◽  
Piezoelectric Layers

Based on the theory of elasticity, bending and free vibrational analyses of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam embedded in piezoelectric layers are carried out, using the state-space differential quadrature method (DQM). Applying the DQM to the governing differential equations and boundary conditions along the longitudinal directions, new state equations about state variables at discrete points are derived. By using the state-space technique across the thickness direction, semi- analytical closed form solutions are derived. The method is validated by comparing numerical results for beams without piezoelectric layers. Both the direct and the inverse piezoelectric effects are investigated and the influence of piezoelectric layers on the mechanical behavior of beam is studied. Furthermore, the effects of CNT volume fraction, kind of CNT distribution, length to thickness ratio and edge boundary conditions on the mechanical behavior of the beams are examined.

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