Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory

2012 ◽  
Vol 94 (4) ◽  
pp. 1450-1460 ◽  
Author(s):  
Ping Zhu ◽  
Z.X. Lei ◽  
K.M. Liew
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Carbon Nanotube ◽  
Free Vibration ◽  
Shear Deformation ◽  
Plate Theory ◽  
Composite Plates ◽  
First Order ◽  
Reinforced Composite ◽  
Shear Deformation Plate Theory

Elastic Analysis of Carbon Nanotube-Reinforced Composite Plates with Piezoelectric Layers Using Shear Deformation Theory

2017 ◽  
Vol 09 (01) ◽  
pp. 1750011 ◽  
Author(s):  
Mohammad Zamani Nejad ◽  
Tahereh Taghizadeh ◽  
Saeed Jafari Mehrabadi ◽  
Saeed Herasati
Keyword(s):  
Carbon Nanotube ◽  
Shear Deformation ◽  
Volume Fraction ◽  
Plate Theory ◽  
Plate Thickness ◽  
Composite Plates ◽  
Third Order ◽  
Reinforced Composite ◽  
Shear Deformation Plate Theory ◽  
Piezoelectric Layers

This paper investigates the deflection and stress behavior of composite plates reinforced by single-walled carbon nanotubes (SWCNTs) with piezoelectric layers which are under transverse mechanical load. Two kinds of carbon nanotube-reinforced composite (CNTRC) plates, namely uniformly distributed (UD) and functionally graded (FG) along the plate thickness, are considered. The extended rule of mixture approach is used to estimate the effective material properties. The governing equations are derived using the Hamilton approach based on the first-order shear deformation plate theory (FSDT) and third-order shear deformation plate theory (TSDT). In addition, the Navier technique is employed to obtain the deflection and stress response of the nanocomposite plates. The results of present work are also compared with those available in the literature and show good agreement. The effects of applied force, volume fraction of CNT, distribution of CNT, thickness of piezoelectric layer, thickness to width ratio and aspect ratio on the static behavior are studied. In previous studies, deflection and stress analysis of nanocomposite plate with piezoelectric layers based on third-order shear deformation plate theory has not investigated.

scholarly journals Numerical and Experimental Analysis of the Dynamic Behavior of Piezoelectric Stiffened Composite Plates Subjected to Airflow

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Nguyen Thai Chung ◽  
Nguyen Ngoc Thuy ◽  
Duong Thi Ngoc Thu ◽  
Le Hai Chau
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Behavior ◽  
Degrees Of Freedom ◽  
Plate Theory ◽  
Experimental Studies ◽  
Composite Plates ◽  
Theoretical Method ◽  
First Order ◽  
Element Method

In this paper, the authors present results on dynamic behavior analysis of the stiffened composite plate with piezoelectric patches under airflow by finite element method and experimental study. The first-order shear deformation plate theory and nine-noded isoparametric piezoelectric laminated plate finite element with five elastic degrees of freedom at each node and one electric degree of freedom per element per piezoelectric layer were used in the dynamic analysis of plates by finite element method. The modern equipment was used in the dynamic behaviors analysis of plates subjected to airflow load by experimental method. In this study, the results of the theoretical method have been compared with experimental studies.

Free Vibration Analysis of Nanocomposite Plates Reinforced by Graded Carbon Nanotubes Based on First-Order Shear Deformation Plate Theory

2013 ◽  
Vol 5 (1) ◽  
pp. 90-112 ◽  
Author(s):  
S. Jafari Mehrabadi ◽  
B. Sobhaniaragh ◽  
V. Pourdonya
Keyword(s):  
Carbon Nanotubes ◽  
Free Vibration ◽  
Shear Deformation ◽  
Material Properties ◽  
Volume Fraction ◽  
Plate Theory ◽  
Functionally Graded ◽  
First Order ◽  
Shear Deformation Plate Theory ◽  
Effective Material Properties

AbstractBased on the Mindlin’s first-order shear deformation plate theory this paper focuses on the free vibration behavior of functionally graded nanocomposite plates reinforced by aligned and straight single-walled carbon nanotubes (SWCNTs). The material properties of simply supported functionally graded carbon nanotube-reinforced (FGCNTR) plates are assumed to be graded in the thickness direction. The effective material properties at a point are estimated by either the Eshelby-Mori-Tanaka approach or the extended rule of mixture. Two types of symmetric carbon nanotubes (CNTs) volume fraction profiles are presented in this paper. The equations of motion and related boundary conditions are derived using the Hamilton’s principle. A semi-analytical solution composed of generalized differential quadrature (GDQ) method, as an efficient and accurate numerical method, and series solution is adopted to solve the equations of motions. The primary contribution of the present work is to provide a comparative study of the natural frequencies obtained by extended rule of mixture and Eshelby-Mori-Tanaka method. The detailed parametric studies are carried out to study the influences various types of the CNTs volume fraction profiles, geometrical parameters and CNTs volume fraction on the free vibration characteristics of FGCNTR plates. The results reveal that the prediction methods of effective material properties have an insignificant influence of the variation of the frequency parameters with the plate aspect ratio and the CNTs volume fraction.

scholarly journals Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory

2010 ◽  
Vol 34 (5) ◽  
pp. 1276-1291 ◽  
Author(s):  
Sh. Hosseini-Hashemi ◽  
H. Rokni Damavandi Taher ◽  
H. Akhavan ◽  
M. Omidi
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Plate Theory ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
First Order ◽  
Shear Deformation Plate Theory

Static and Free Vibration Analyses of Functionally Graded Carbon Nanotube Reinforced Composite Plates using CS-DSG3

2019 ◽  
Vol 17 (03) ◽  
pp. 1850133 ◽  
Author(s):  
T. Truong-Thi ◽  
T. Vo-Duy ◽  
V. Ho-Huu ◽  
T. Nguyen-Thoi
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Free Vibration ◽  
Numerical Solutions ◽  
Composite Plates ◽  
Functionally Graded ◽  
Triangular Element ◽  
Reinforced Composite ◽  
Strain Smoothing ◽  
Discrete Shear Gap

This study presents an extension of the cell-based smoothed discrete shear gap method (CS-DSG3) using three-node triangular elements for the static and free vibration analyses of carbon nanotube reinforced composite (CNTRC) plates. The single-walled carbon nanotubes (SWCNTs) are assumed to be uniformly distributed (UD) and functionally graded (FG) distributed along the thickness direction. The material properties of carbon nanotube-reinforced composite plates are estimated according to the rule of mixture. The governing equations are developed based on the first-order shear deformation plate theory (FSDT). In the CS-DSG3, each triangular element will be divided into three sub-triangles, and in each sub-triangle, the stabilized discrete shear gap method is used to compute the strains and to avoid the transverse shear locking. Then the strain smoothing technique on the whole triangular element is used to smooth the strains on these three sub-triangles. Effects of several parameters, such as the different distribution of carbon nanotubes (CNTs), nanotube volume fraction, boundary condition and width-to-thickness ratio of plates are investigated. In addition, the effect of various orientation angles of CNTs is also examined in detail. The accuracy and reliability of the proposed method are verified by comparing its numerical solutions with those of other available results in the literature.

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