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.

A simple shear deformation theory for thermo-mechanical behaviour of functionally graded sandwich plates on elastic foundations

2014 ◽  
Vol 17 (2) ◽  
pp. 99-129 ◽  
Author(s):  
Fatima Zahra Taibi ◽  
Samir Benyoucef ◽  
Abdelouahed Tounsi ◽  
Rabbab Bachir Bouiadjra ◽  
El Abbas Adda Bedia ◽  
...  
Keyword(s):  
Shear Deformation ◽  
Simple Shear ◽  
Mechanical Behaviour ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Elastic Foundations ◽  
Simple Shear Deformation

Analysis of Functionally Graded Cylindrical Panel Under Mechanical Loading

2007 ◽  
Author(s):  
P. Ghaderi ◽  
A. Fathizadeh ◽  
M. Bankehsaz
Keyword(s):  
Shear Deformation ◽  
Material Properties ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Algebraic Equations ◽  
Aspect Ratios ◽  
Linear Algebraic Equations ◽  
Cylindrical Panels

In this paper a semi-analytical method is developed to analyze functionally graded cylindrical panels. In this method, the radial domain is divided into some finite sub-domains and the material properties are assumed to be constant in each subdomain. Imposing the continuity conditions at the interface of the adjacent sub-domains, together with the global boundary conditions, a set of linear algebraic equations are derived. Solving the linear algebraic equations, the elastic response for the thick-walled FG cylindrical panel is obtained. The method can be used for all material properties variations but in present study, material properties are assumed vary with Mori-Tanaka estimation. Results are compared with the first order shear deformation theory and third order shear deformation theory of Reddy and accuracy of these theories in assessed for FG cylindrical panels with different aspect ratios.

THE EFFECT OF TRANSVERSE SHEAR AND NORMAL DEFORMATIONS ON THE THERMOMECHANICAL BENDING OF FUNCTIONALLY GRADED SANDWICH PLATES

2009 ◽  
Vol 01 (04) ◽  
pp. 667-707 ◽  
Author(s):  
ASHRAF M. ZENKOUR
Keyword(s):  
Shear Deformation ◽  
Sandwich Plate ◽  
Volume Fraction ◽  
Mechanical Load ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Power Law Distribution ◽  
Equilibrium Equations

A thermomechanical bending analysis for a simply supported, rectangular, functionally graded material sandwich plate subjected to a transverse mechanical load and a through-the-thickness thermal load is presented using the refined sinusoidal shear deformation plate theory. The present shear deformation theory includes the effect of both shear and normal deformations and it is simplified by enforcing traction-free boundary conditions at the plate faces. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The equilibrium equations of different sandwich plates are given based on various plate theories. A number of examples are solved to illustrate the numerical results concern thermo-mechanical bending response of functionally graded rectangular sandwich plates. The influences played by transversal shear and normal deformations, plate aspect ratio, side-to-thickness ratio, volume fraction distributions, and thermal and mechanical loads are investigated.

scholarly journals Finite Element Model for Free Vibration Analyses of FG-CNT Reinforced Composite Beams using Refined Shear Deformation Theories

2021 ◽  
Vol 1206 (1) ◽  
pp. 012019
Author(s):  
Surojit Biswas ◽  
Priyankar Datta
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Shear Deformation ◽  
Volume Fraction ◽  
Slenderness Ratio ◽  
Shear Deformation Theory ◽  
Element Model ◽  
Functionally Graded ◽  
Reinforced Composite ◽  
Distribution Type

Abstract The present article deals with the free vibration of functionally graded carbon nanotube reinforced composite (FG-CNTRC) beams employing various refined deformation theories and validates the accuracy and feasibility of these proposed theories. The theories involved are the first order shear deformation theory (FSDT) and other refined theories involving additional higher order terms. Carbon nanotubes (CNTs) are assumed to be oriented along the axis of the beam. Uniform and three types of different functionally graded (FG) distributions of CNTs through the thickness of the beam are considered. The rule of mixture is used to describe the effective material properties of the beams. The governing equations are derived using Hamilton’s principle and solved using the finite element method (FEM). A FEM code is compiled in MATLAB considering a C 0 finite element. The influences of different key parameters such as CNT volume fraction, distribution type of CNTs, boundary conditions and slenderness ratio on the natural frequencies of FG-CNTRC beams are investigated. It can be concluded that the above-mentioned parameters have significant influence on the free vibration of the beam and the accuracy of the proposed refined theories is good.

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