Dynamic response of functionally graded circular cylindrical shells subjected to radial impulse load

2012 ◽  
Vol 9 (1) ◽  
pp. 65-81 ◽  
Author(s):  
A. Davar ◽  
S. Mohammad Reza Khalili ◽  
K. Malekzadeh Fard
Keyword(s):  
Dynamic Response ◽  
Cylindrical Shells ◽  
Functionally Graded ◽  
Impulse Load ◽  
Circular Cylindrical Shells

Nonlinear thermo- electro-mechanical dynamic response of shear deformable piezoelectric sigmoid functionally graded sandwich circular cylindrical shells on elastic foundations

2016 ◽  
Vol 20 (3) ◽  
pp. 351-378 ◽  
Author(s):  
Dinh Duc Nguyen
Keyword(s):  
Dynamic Response ◽  
Material Properties ◽  
Nonlinear Dynamic ◽  
Cylindrical Shells ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Nonlinear Dynamic Response ◽  
Elastic Foundations ◽  
Circular Cylindrical Shells ◽  
Shear Deformable

In this paper, we study the nonlinear dynamic response of higher order shear deformable sandwich functionally graded circular cylindrical shells with outer surface-bonded piezoelectric actuator on elastic foundations subjected to thermo-electro-mechanical and damping loads. The sigmoid functionally graded material shells are made of the metal–ceramic–metal layers with temperature-dependent material properties. The governing equations are established based on Reddy’s third-order shear deformation theory using the stress function, the Galerkin method and the fourth-order Runge–Kutta method. Numerical results are given to demonstrate the influence of geometrical parameters, material properties, imperfection, elastic foundations, and thermo-electro-mechanical and damping loads on the nonlinear dynamic response of the shells. Accuracy of the present formulation is shown by comparing the results of numerical examples with the ones available in literature.

scholarly journals Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

2012 ◽  
Vol 34 (3) ◽  
pp. 139-156 ◽  
Author(s):  
Dao Van Dung ◽  
Le Kha Hoa
Keyword(s):  
Axial Compression ◽  
Nonlinear Stability ◽  
Volume Fraction ◽  
Cylindrical Shells ◽  
Geometrical Nonlinearity ◽  
Functionally Graded ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
Method Effects ◽  
Circular Cylindrical Shells

This paper presents an analytical approach to analyze the nonlinear stability of thin closed circular cylindrical shells under axial compression with material properties varying smoothly along the thickness in the power and exponential distribution laws. Equilibrium and compatibility equations are obtained by using Donnel shell theory taking into account the geometrical nonlinearity in von Karman and initial geometrical imperfection.  Equations to find the critical load and the load-deflection curve are established by Galerkin's method. Effects of buckling modes, of imperfection, of dimensional parameters and of volume fraction indexes to buckling loads and postbuckling load-deflection curves of cylindrical shells are investigated. In case of perfect cylindrical shell, the present results coincide with the ones of the paper  [13] which were solved by Ritz energy method.

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