Three-dimensional thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by differential quadrature method

2011 ◽  
Vol 88 (5-7) ◽  
pp. 167-180 ◽  
Author(s):  
R. Akbari Alashti ◽  
M. Khorsand
Keyword(s):  
Cylindrical Shell ◽  
Differential Quadrature Method ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Elastic Analysis ◽  
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.

Asymmetric thermo-elastic analysis of long cylindrical shells of functionally graded materials by differential quadrature method

2011 ◽  
Vol 226 (5) ◽  
pp. 1133-1147 ◽  
Author(s):  
R Akbari Alashti ◽  
M Khorsand ◽  
M H Tarahhomi
Keyword(s):  
Cylindrical Shell ◽  
Numerical Solutions ◽  
Differential Quadrature Method ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Temperature Fields ◽  
Elastic Analysis ◽  
Graded Materials ◽  
Graded Material ◽  
Power Law Function

Asymmetric thermo-elastic analysis of a long cylindrical shell made of functionally graded material under the effect of thermo-mechanical loadings is carried out. Material properties of the cylindrical shell are assumed to be graded in the radial direction according to a power law function, while the Poisson's ratio is assumed to be constant. Numerical solutions of displacement, stress, and temperature fields are obtained using the Fourier and polynomial differential quadrature methods. The results are compared with the reported analytical solutions which are found to be in very good agreement. The cylindrical shell is considered to be under the effect of both axisymmetric and asymmetric loading conditions. Effects of grading parameter, temperature difference, and the ratio of the outer to inner radii of the cylindrical shell on stresses, displacement, and temperature fields are presented.

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