scholarly journals Bending analysis of laminated SWCNT Reinforced functionally graded plate Using FEM

2017 ◽  
Vol 4 (1) ◽  
pp. 134-145 ◽  
Author(s):  
Shivaji G. Chavan ◽  
Achchhe Lal
Keyword(s):  
Finite Element ◽  
Carbon Nanotube ◽  
Composite Plate ◽  
Plate Boundary ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Functionally Graded ◽  
Distribution Profile ◽  
Bending Analysis ◽  
Finite Element Implementation

AbstractIn this paper presents bending characteristic of multi-layered carbon nanotube reinforced functionally graded composite plates. The finite element implementation of bending analysis of laminated composite plate via well-established higher order shear deformation theory(HSDT). A seven degree of freedom and C0 continuity finite element model using nine noded isoperimetric elements is developed for precise computation of ply-by-ply deflection and stresses of laminated Single Wall Carbon Nanotube Reinforced composite plate subjected to uniform transverse loading. The finite element implementation is carried out through a finite element code developed in MATLAB.The results obtained by present approach are compared with results available in the literatures. The effective material properties of the laminated SWCNTRC plate are used by Mori-Tanaka method.Numerical results have been obtained with different parameters, width-to-thickness ratio(a/h), stress distribution profile along thickness direction,different SWCNTRC-FG plate, boundary condition and various lamination schemes.

Free vibration response of carbon nanotube reinforced pretwisted conical shell under thermal environment

2019 ◽  
Vol 234 (3) ◽  
pp. 770-783 ◽  
Author(s):  
Pabitra Maji ◽  
Mrutyunjay Rout ◽  
Amit Karmakar
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element ◽  
Carbon Nanotube ◽  
Free Vibration ◽  
Conical Shell ◽  
Dynamic Equilibrium ◽  
Thermal Environment ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Mode Shapes

Finite element procedure is employed to analyze the free vibration characteristics of rotating functionally graded carbon nanotubes reinforced composite conical shell with pretwist under the thermal environment. In this paper, four types of carbon nanotube grading are considered, wherein the distribution of carbon nanotubes are made through the thickness direction of the conical shell. An eight-noded isoparametric shell element is used in the present formulation to model the panel based on the first-order shear deformation theory. For moderate rotational speeds, the generalized dynamic equilibrium equation is derived from Lagrange’s equation of motion, neglecting the Coriolis effect. The finite element code is developed to investigate the effect of twist angle, temperature, aspect ratio, and rotational speed on natural frequencies. The mode shapes of a carbon nanotube reinforced functionally graded conical shell at different twist angles and rotational speeds are also presented.

Bending and free vibration analyses of antisymmetrically laminated carbon nanotube-reinforced functionally graded plates

2016 ◽  
Vol 51 (22) ◽  
pp. 3111-3125 ◽  
Author(s):  
Bin Huang ◽  
Yan Guo ◽  
Ji Wang ◽  
Jianke Du ◽  
Zhenghua Qian ◽  
...  
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Functionally Graded ◽  
Width Ratio ◽  
Variable Theory ◽  
First Order ◽  
First Order Theory

In this paper, a simple four-variable first-order shear deformation theory is further applied to solve the bending and free vibration problems of antisymmetrically laminated functionally graded carbon nanotube (FG-CNT)-reinforced composite plates. The adopted four-variable theory contains only four unknowns in its displacement field which is less than the Reddy’s first-order theory. The equations of motion are derived from the Hamilton’s principle with the help of specific boundary conditions. Laminated FG-CNT-reinforced plates with different distribution types of carbon nanotube through the thickness are considered. The material properties of individual layer are estimated by using the extended rule of mixture. Analytical solutions of various simply supported antisymmetric cross-ply and angle-ply laminates are given for case study. The effects of carbon nanotube volume fraction, length to width ratio and thickness to width ratio on the non-dimensional fundamental frequency and the central deflection are investigated for antisymmetrically laminated FG-CNT-reinforced plates.

Mechanical behavior of laminated functionally graded carbon nanotube reinforced composite plates resting on elastic foundations in thermal environments

2018 ◽  
Vol 53 (9) ◽  
pp. 1159-1179 ◽  
Author(s):  
Tao Fu ◽  
Zhaobo Chen ◽  
Hongying Yu ◽  
Zhonglong Wang ◽  
Xiaoxiang Liu
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Volume Fraction ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Functionally Graded ◽  
Numerical Comparison ◽  
Thermal Environments ◽  
Reinforced Composite

The present study is concerned with static and free vibration analyses of laminated functionally graded carbon nanotube reinforced composite rectangular plates on elastic foundation based on nth-order shear deformation theory. Four types of carbon nanotubes distributions along the plate thickness are considered, which include uniformly distributed and three other functionally graded distributions. Governing differential equations are derived by means of Hamilton’s principle. The differential quadrature method is developed to formulate the problem, and rapid convergence is observed in this study. A numerical comparison with available results in the literature is carried out to show the validity of the proposed theory. Furthermore, effects of the carbon nanotubes volume fraction, thickness side ratio, aspect ratio, foundation parameters, different thermal environments, the number of layers, lamination angle, boundary condition, and carbon nanotubes distribution types on the static response of laminated functionally graded carbon nanotube reinforced composite plates are also investigated.

Thermoelastic Analysis of FG-CNT Reinforced Shear Deformable Composite Plate Under Various Loadings

2017 ◽  
Vol 14 (02) ◽  
pp. 1750019 ◽  
Author(s):  
Kulmani Mehar ◽  
Subrata Kumar Panda
Keyword(s):  
Carbon Nanotube ◽  
Composite Plate ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Flexural Behavior ◽  
Design Parameters ◽  
Line Load ◽  
Aspect Ratios ◽  
Reinforced Composite ◽  
Distributed Load

In the present paper, the flexural behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plate is investigated under the combined thermo-mechanical load. The carbon nanotube reinforced composite plate has been modeled mathematically based on the higher order shear deformation theory. The governing differential equation of the FG-CNTRC plate is obtained using the variational method and discretized using the suitable isoparametric finite element steps and solved numerically through a computer code developed in MATLAB environment. The material properties of the carbon nanotube reinforced composite plate are assumed to be temperature dependent and graded in the thickness direction using different grading rules. The validity and the convergence behavior of the presently proposed numerical model have been checked by comparing the responses with results available in published literature and subsequent simulation model developed in ANSYS. The effect of various design parameters (aspect ratios, support conditions, thickness ratios, volume fractions, temperature load and types of grading) on the static, stress and deformation behavior of the FG-CNTRC plate are examined under the influence of different types of loading (uniformly distributed load, sinusoidally distributed load, uniformly distributed line load, sinusoidally distributed line load and point load) and discussed detail.

Vibratory response and acoustic radiation behavior of laminated functionally graded composite plates in thermal environments

2019 ◽  
Vol 22 (5) ◽  
pp. 1681-1706 ◽  
Author(s):  
Tao Fu ◽  
Zhaobo Chen ◽  
Hongying Yu ◽  
Qingjun Hao ◽  
Yanzheng Zhao
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Volume Fraction ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Functionally Graded ◽  
Numerical Comparison ◽  
Thermal Environments ◽  
Reinforced Composite

The present study is concerned with vibro-acoustic behavior analyses of laminated functionally graded carbon nanotube reinforced composite plates based on Reddy’s higher order shear deformation theory. Four types of carbon nanotubes distributions along the plate thickness are considered, which include uniformly distributed and three other functionally graded distributions. Governing differential equations are derived by means of Hamilton’s principle. The sound pressure and radiation efficiency are calculated with Rayleigh integral. A numerical comparison with available results in the literature is carried out to show the validity of the present model. Furthermore, effects of the carbon nanotubes volume fraction, different thermal environments, lamination angle and carbon nanotubes distribution types on the structural and acoustic response of laminated functionally graded carbon nanotube reinforced composite plates are also investigated.

Finite element modelling and experimental study on static deflection and vibration of piezoelectric composite plates

2010 ◽  
Vol 32 (2) ◽  
pp. 121-133
Author(s):  
Tran Ich Thinh ◽  
Le Kim Ngoc
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Composite Plate ◽  
Vibration Suppression ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Element Model ◽  
Piezoelectric Composite ◽  
Piezoelectric Effects ◽  
Polyester Composite

A finite-element model based on the First-Order Shear Deformation Theory is developed for the static flexural shape and vibration control of a glass fibre/polyester composite plate bonded piezoelectric actuator and sensor patches. The piezoelectric's mass and stiffness are taken into account in the present model. A simple negative velocity feedback control algorithm coupling direct and converse piezoelectric effects are used to actively control the dynamic response of an integrated structure through a closed control loop. The static analysis and active vibration suppression control of a cantilever composite plate are performed as a numerical example to validate the proposed model. The Newmark-\(\beta\) method is used in the numerical simulation to calculate the dynamic response of the piezolaminated composite plate. The numerical results are presented with discussion and in good agreement with carried out experiments.

Vibration of functionally graded carbon nanotube-reinforced composite plates under a moving load

2015 ◽  
Vol 22 (1) ◽  
pp. 37-55 ◽  
Author(s):  
Parviz Malekzadeh ◽  
Mojtaba Dehbozorgi ◽  
Seyyed Majid Monajjemzadeh
Keyword(s):  
Carbon Nanotube ◽  
Moving Load ◽  
Equations Of Motion ◽  
Micromechanical Model ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Functionally Graded ◽  
Integration Scheme ◽  
Aspect Ratios ◽  
Reinforced Composite

AbstractThe vibration behavior of functionally graded carbon nanotube (CNT)-reinforced composite (FG-CNTRC) plates under a moving load is investigated based on the first-order shear deformation theory of plates using the finite element method. An embedded single-walled CNT (SWCNT) in the polymer matrix and its surrounding interphase is replaced with an equivalent fiber to obtain the effective mechanical properties of the CNT/polymer composite plates using the Eshelby-Mori-Tanaka micromechanical model. The equations of motion of plate elements are derived by utilizing Hamilton’s principle. Newmark’s time integration scheme is employed to discretize the equations of motion in the temporal domain. The convergence of the method is numerically demonstrated and its accuracy is shown by performing comparison studies with existing solutions for the free vibration and static analysis of FG-CNTRC plates and also the exact solution of isotropic plates under a moving load. Then, the numerical results are presented to study the effects of various profiles of the CNT distribution, which includes both symmetric and asymmetric distributions, the velocity of the moving load, and thickness-to-length and aspect ratios together with boundary conditions on the dynamic characteristic of the FG-CNTRC plate under a moving load.

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