Non-linear vibration response of functionally graded circular cylindrical shells subjected to thermo-mechanical loading

2019 ◽  
Vol 229 ◽  
pp. 111430 ◽  
Author(s):  
Amit Yadav ◽  
Marco Amabili ◽  
Sarat Kumar Panda ◽  
Tanish Dey
Keyword(s):  
Mechanical Loading ◽  
Cylindrical Shells ◽  
Functionally Graded ◽  
Vibration Response ◽  
Linear Vibration ◽  
Non Linear ◽  
Circular Cylindrical Shells

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.

Sign in / Sign up

Export Citation Format

Share Document