Transient Piezothermoelastic Problem of a Functionally Graded Thermopiezoelectric Cylindrical Panel

2010 ◽  
pp. 125-134
Author(s):  
Yoshihiro Ootao
Keyword(s):  
Cylindrical Panel ◽  
Functionally Graded

scholarly journals Nonlinear analysis of buckling and postbuckling for axially compressed functionally graded cylindrical panels with the Poisson's ratio varying smoothly along the thickness

2012 ◽  
Vol 34 (1) ◽  
pp. 27-44 ◽  
Author(s):  
Dao Van Dung ◽  
Le Kha Hoa
Keyword(s):  
Boundary Conditions ◽  
Poisson’S Ratio ◽  
Compressive Load ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Poisson's Ratio ◽  
Postbuckling Behavior ◽  
Nonlinear Buckling ◽  
Dimensional Parameter ◽  
Classical Shell Theory

In this paper an approximate analytical solution to analyze the nonlinear buckling and postbuckling behavior of imperfect functionally graded panels with the Poisson's ratio also varying smoothly along the thickness is investigated. Based on the classical shell theory and von Karman's assumption of kinematic nonlinearity and applying Galerkin procedure, the equations for finding critical loads and load-deflection curves of cylindrical panel subjected to axial compressive load with two types boundary conditions, are given. Especially, the stiffness coefficients are analyzed in explicit form. Numerical results show various effects of the inhomogeneous parameter, dimensional parameter, boundary conditions on nonlinear stability of panel. An accuracy of present theoretical results is verified by the previous well-known results.

scholarly journals Nonlinear Vibration of Porous Funcationally Graded Cylindrical Panel Using Reddy’s High Order Shear Deformation

2019 ◽  
Vol 35 (4) ◽  
Author(s):  
Vu Minh Anh ◽  
Nguyen Dinh Duc
Keyword(s):  
Dynamic Response ◽  
Shear Deformation ◽  
Thermal Load ◽  
Mechanical Load ◽  
Shear Deformation Theory ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Winkler Foundation ◽  
Elastic Foundations ◽  
Distribution Type

The nonlinear dynamic response and vibration of the porous functionally graded cylindrical panel (PFGCP) subjected to the thermal load, mechanical load and resting on elastic foundations are determined by an analytical approach as the Reddy’s third-order shear deformation theory, Ahry’s function… The results for dynamic response of PFGCP present the effect of geometrical ratio, elastic foundations: Winkler foundation and Paskternak foundation, loads: mechanical load and thermal load, the material properties and distribution type of porous. The results are shown as numerical results, figures and are determined by using Galerkin methods and Fourth-order Runge-Kutta method.

scholarly journals ANALYTICAL SOLUTIONS FOR BENDING, BUCKLING AND VIBRATION ANALYSIS OF FUNCTIONALLY GRADED CYLINDRICAL PANEL

2017 ◽  
Vol 55 (5) ◽  
pp. 587 ◽  
Author(s):  
Duong Thanh Huan ◽  
Tran Minh Tu ◽  
Tran Huu Quoc
Keyword(s):  
Analytical Solutions ◽  
Vibration Analysis ◽  
Volume Fraction ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Graded Materials ◽  
First Order ◽  
Present Solution

The main purpose of this article is to present analytical solutions for bending, buckling and vibration analysis of cylindrical panel, which are composed of functionally graded materials (FGMs). Equations of motion are derived using Hamilton’s principle. The first-order shear deformation theory is used for developing Navier’s solutions of simply supported cylindrical panel. Comparison studies are presented to verify the validity of present solution. It is found that the presented results are close to those existing. The effect of volume fraction distributions, panel aspect ratio, and side-to-thickness ratio on the deflections, buckling loads and natural frequencies is also investigated.

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