A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells

2019 ◽  
Vol 178 ◽  
pp. 444-459 ◽  
Author(s):  
S. Trabelsi ◽  
A. Frikha ◽  
S. Zghal ◽  
F. Dammak
Keyword(s):  
Cylindrical Shells ◽  
Shell Element ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Finite Shell

Thermal Buckling Analysis of Circular FGP with Actuator/Actuator Piezoelectric Layers Based on Neutral Plane Method

2012 ◽  
Vol 29 (1) ◽  
pp. 157-167 ◽  
Author(s):  
M. M. Najafizadeh ◽  
M. Malmorad ◽  
A. Sharifi ◽  
A. Joodaky
Keyword(s):  
Thermal Loading ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Neutral Plane ◽  
Functionally Graded Plates ◽  
Temperature Changes ◽  
First Order ◽  
Piezoelectric Layers ◽  
Nonlinear Temperature

AbstractIn this research, thermal buckling analysis of circular functionally graded plates with Actuator/Actuator piezoelectric layers (FGPs) is studied based on neutral plane, classical and first order shear deformation plate theories. Mechanical properties of the plate are considered as those of Reddy Model. Plate is assumed to be under thermal loading. Nonlinear temperature rises through the thickness and boundary conditions are considered clamped. Equilibrium and stability equations have been derived using calculus of variations and application of Euler equations. Finally, critical buckling temperature changes are studied based on the mentioned theories for a sample plate. An appropriate agreement is seen among the present results and the results of other researches.

Nonlinear Static and Dynamic Thermal Buckling Analysis of Spiral Stiffened Functionally Graded Cylindrical Shells with Elastic Foundation

2019 ◽  
Vol 11 (01) ◽  
pp. 1950005 ◽  
Author(s):  
Alireza Shaterzadeh ◽  
Kamran Foroutan ◽  
Habib Ahmadi
Keyword(s):  
Elastic Foundation ◽  
Plate Theory ◽  
Cylindrical Shells ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Thickness Direction ◽  
Classical Plate Theory ◽  
Linear Temperature ◽  
Nonlinear Static

In this paper, an analytical method is used to study the nonlinear static and dynamic thermal buckling analysis of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells. The SSFG cylindrical shell is surrounded by a linear and nonlinear elastic foundation. The proposed linear model is based on the two-parameter elastic foundation (Winkler and Pasternak). A three-parameter elastic foundation with hardening/softening cubic nonlinearity is used for nonlinear model. The material properties are temperature dependent and assumed to be continuously graded in the thickness direction. Also, for thermal buckling analysis, the uniform and linear temperature distribution in thickness direction is considered. The SSFG cylindrical shells are considered with various angles for spiral stiffeners. The strain–displacement relations are obtained based on the von Kármán nonlinear equations and the classical plate theory of shells. The smeared stiffener technique and the Galerkin method are applied to solve the nonlinear problem. In order to find the nonlinear dynamic thermal buckling responses, the fourth-order Runge–Kutta method is used. To validate the results, comparisons are made with those available in literature and good agreements are shown. The effects of various geometrical and material parameters are investigated on the nonlinear static and dynamic thermal buckling response of SSFG cylindrical shells.

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