A critical review of stress and vibration analyses of functionally graded shell structures

2019 ◽  
Vol 210 ◽  
pp. 787-809 ◽  
Author(s):  
Devesh Punera ◽  
Tarun Kant
2016 ◽  
Vol 227 (5) ◽  
pp. 1307-1329 ◽  
Author(s):  
Stephan Kugler ◽  
Peter A. Fotiu ◽  
Justin Murin

2018 ◽  
Vol 202 ◽  
pp. 324-332 ◽  
Author(s):  
José S. Moita ◽  
Aurélio L. Araújo ◽  
Victor Franco Correia ◽  
Cristóvão M. Mota Soares ◽  
José Herskovits

Author(s):  
M Javanbakht ◽  
M Shakeri ◽  
S N Sadeghi

A study on the elasticity solution of the functionally graded (FG) shell with two piezoelectric layers is presented. In this article, the structure is finitely long, simply supported, and FG with two piezoelectric layers under pressure and electrostatic excitation. The equations of equilibrium, which are coupled partial differential equations, are reduced to ordinary differential equations (o.d.e.) with variable coefficients by means of trigonometric function expansion in the longitudinal direction. The resulting o.d.e. are solved by the Galerkin finite-element method and the Newmark method. Numerical results are presented for a FG cylindrical shell with a piezoelectric layer as an actuator in the external surface and a piezoelectric layer as a sensor in the internal surface.


2019 ◽  
Vol 26 (13-14) ◽  
pp. 1157-1172 ◽  
Author(s):  
Hanen Mallek ◽  
Hanen Jrad ◽  
Mondher Wali ◽  
Amir Kessentini ◽  
Fehmi Gamaoun ◽  
...  

This research makes a first attempt to investigate the dynamic characteristics of functionally graded carbon nanotube–reinforced composite plates and shell structures with surface-bonded piezoelectric layers. A variational formulation is derived based on the linear double director shell theory to ensure realistic parabolic variation of transverse shear strain along the thickness direction. The assumed natural strains method is adopted to enhance the accuracy of the four-node piezoelectric shell element developed in this study. Numerical studies are conducted to validate the efficiency and numerical stability of the proposed model to predict the behavior of piezolaminated composite shell structures. Furthermore, dynamic responses are extended to functionally graded carbon nanotube–reinforced composite shells covered by two active layers. The host structure is reinforced by single-walled carbon nanotubes, which are assumed to be graded through the thickness direction with different types of distributions and embedded in a polymer matrix. The effect of the volume fractions, distribution type, and geometrical parameters of the carbon nanotubes is examined.


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