Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment

Mehar, Kulmani; Panda, Sidhartha; Dehengia, Ayushman; Kar, Vishesh Ranjan

doi:10.1177/1099636215613324

Cited by 94 publications

(28 citation statements)

References 53 publications

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“…In FGM, the composition of the material varies through the dimensions of the structure i.e., along the length/breadth or through the thickness. Recently, the concept of FGM is further improved by incorporating carbon nanotubes (CNTs) in the structural components namely, functionally graded carbon nanotubes (FG-CNTs) [6][7][8][9][10][11][12]. The nanotubes are well-known for their superior electrical, mechanical and chemical including temperature related properties over the available advanced and/or conventional fibers.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

2017

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The bending responses of nanotube-reinforced curved sandwich shell panel structure are studied under the influence of the thermomechanical loading. Further, the temperature dependent material properties of the sandwich structure are assumed to evaluate the exact responses. In addition, the face sheets of the sandwich construction are modeled using different grading pattern through the panel thickness. The final form of the equilibrium equation of the deflected sandwich structure obtained by minimising the total potential energy functional. Now, the equation is solved computationally via a suitable computer code (MATLAB) using the novel higher-order kinematics including the finite element method. The constancy and the accuracy of the current finite element solutions are verified by solving a different kind of numerical examples as same as the published examples. The effect of parameters associated with structural stiffness and the flexural behaviour of the nanotube-reinforced curved sandwich structural panel are examined together with the unlike temperature distributions (uniform and linear) and discussed the final conclusions in detail.

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Section: Introductionmentioning

confidence: 99%

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

2017

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“…The CNT‐reinforced sandwich plate model is derived mathematically using the high‐order type of mid‐plane kinematics to maintain the true variation the out‐of‐plane shear stress and strain and conceded as :

\begin{matrix} left \\ u true(x, y, z, t true) = u_{0} true(x, y, t true) + z φ_{x} true(x, y, t true) + z^{2} ψ_{x} (x, y, t) + z^{3} θ_{x} true(x, y, t true) \\ v true(x, y, z, t true) = v_{0} true(x, y, t true) + z φ_{y} true(x, y, t true) + z^{2} ψ_{y} (x, y, t) + z^{3} θ_{y} true(x, y, t true) \\ w true(x, y, z, t true) = w_{0} true(x, y, t true) \end{matrix} false}

where, u , v, and w are the displacements of any point of the sandwich plate along the longitudinal and transverse directions, i.e., x , y, and z , respectively. Likewise, the individual displacement functions presented as u 0 , v 0, and w 0 are defined at the mid‐surface for any point of the sandwich plate structure along the commonly perpendicular axes x , y, and z ‐directions, respectively.…”

Section: Theory and General Formulationmentioning

confidence: 99%

Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach

Mehar

Panda

Patle³

2017

Polymer Composites

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The frequency, deflection, and stress values of carbon nanotube reinforced sandwich plate structure is investigated numerically under the influence of the mechanical loading and thermal field. The effective properties of individual components of sandwich structure (face sheet and core layer) are assumed to be temperature‐dependent and modeled via thermoelastic constitutive relations. In addition, the distribution of carbon nanotube through the thickness of the face sheets are assumed to follow the rule based grading pattern. Further, the sandwich structural panel modeled using the extant high‐order shear deformation kinematic theory for the mathematical purpose. The desired structural responses (frequency, deflection and stress) obtained numerically through a generic finite element based computer code developed in MATLAB. The convergence criteria and the accuracy of the current high‐order finite element solutions have been assessed by solving a sufficient number of numerical examples. Lastly, the influences of structural parameters (core to face thickness ratios, carbon nanotube fractions, type of loading, aspect ratios, end constraints, length to thickness ratios, type of carbon nanotube gradings, and type of temperature gradings) on the transverse deflection and frequencies of carbon nanotube‐reinforced sandwich structure are obtained under the elevated thermal field and the subsequent conclusions discussed accordingly. POLYM. COMPOS., 39:3792–3809, 2018. © 2017 Society of Plastics Engineers

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“…Lei et al used the element‐free kp ‐Ritz method for free vibration analysis of FG‐CNTRC plates in thermal environment. Mehar et al studied on the free vibration behavior of straight CNT‐reinforced nanocomposite plates under uniform thermal field by suitable isoparametric finite element method (FEM) based on higher order shear deformation theory (HSDT). Moradi‐Dastjerdi et al used an moving least squares (MLSs) shape function mesh‐free method to examine dynamic behavior of FG‐CNTRC cylinders.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic vibration analysis of functionally graded wavy carbon nanotube‐reinforced cylinders

Moradi‐Dastjerdi

Payganeh

2017

Polymer Composites

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In this study, free vibration behavior of functionally graded carbon nanotube‐reinforced composite (FG‐CNTRC) cylinders subjected to uniform temperature environment or thermal gradient loading is investigated by a mesh‐free method. The nanocomposite cylinders are made of a polymer matrix and wavy single‐walled carbon nanotubes (SWCNTs). The volume fraction of carbon nanotubes (CNTs) are assumed variable along the radial direction of the axisymmetric cylinder. Also, material properties of the polymer and CNT are assumed temperature‐dependent and mechanical properties of the nanocomposite are estimated by a micromechanical model in volume fraction form. In the mesh‐free analysis, moving least squares shape functions are used to approximate displacement field in the weak form of motion equation and the transformation method is used to impose essential boundary conditions. The material properties and natural frequency of the nanocomposite cylinders are derived after the derivation of cylinder temperature and by considering of the temperature and location. Effects of CNT distribution pattern and volume fraction, thermal, cylinder dimensions and CNT aspect ratio and waviness are investigated on the vibration behavior of the nanocomposite cylinders. POLYM. COMPOS., 39:E826–E834, 2018. © 2017 Society of Plastics Engineers

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Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment

Cited by 94 publications

References 53 publications

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach

Thermoelastic vibration analysis of functionally graded wavy carbon nanotube‐reinforced cylinders

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