Free vibration of quadrilateral laminated plates with carbon nanotube reinforced composite layers

Malekzadeh, P.; Zarei, Alireza

doi:10.1016/j.tws.2014.04.016

Cited by 162 publications

(45 citation statements)

References 22 publications

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“…However, these models should be extended to include the small-scale effect of SWCNTs to become applicable at the nanoscale. Here, the extended rule of mixture which, includes the small-scale effect by introducing the CNT efficiency parameters, is implemented (Malekzadeh and Zarei, 2014;Wang and Shen, 2011). The volume fractions of the CNTs are supposed to vary in a smooth and continuous manner in the thickness direction of the beam.…”

Section: Remark 1 the Biot Number Is Defined Asmentioning

confidence: 99%

“…Based on the modified couple stress theory, the free vibration problem of axially functionally graded CNTRC micro-cantilever beams were investigated by Rokni et al (2015). The free vibrational behaviour of quadrilateral laminated thin-tomoderately thick CNTRC plates was studied by Malekzadeh and Zarei (2014). Shen (2009) investigated the nonlinear vibration of simply supported, functionally graded CNTRC plates subjected to a uniform or sinusoidal transverse load in thermal environments.…”

Section: Introductionmentioning

confidence: 99%

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Active vibration control of carbon nanotube reinforced composite beams

Mirghaffari

Rahmani

2016

Transactions of the Institute of Measurement and Control

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In this paper, active vibration control of carbon nanotube reinforced composite beams subjected to a temperature rise is studied. For this purpose, piezoelectric patches are used as sensors to measure the displacement of the beam and as actuators to implement control forces. The governing equation of motion of this beam is derived from the Euler-Bernoulli theory and Hamilton's principle. Galerkin's method is utilized to obtain the temporal ordinary differential equations. An optimal observer-based output feedback controller is designed by the linear quadratic regulator (LQR) methodology to ensure closed-loop stability. Simulation studies demonstrate the effectiveness of the proposed method.

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Section: Remark 1 the Biot Number Is Defined Asmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Active vibration control of carbon nanotube reinforced composite beams

Mirghaffari

Rahmani

2016

Transactions of the Institute of Measurement and Control

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“…Zhang et al [10][11][12] extended the element free method to study the vibration characteristics of the FG-CNT reinforced composite skew plates, triangular plates and cylindrical panels with classical boundary conditions. The free vibration characteristics of laminated plates containing FG-CNT reinforced composite layers were presented by Malekzadeh and Zarei [13] using the differential quadrature method on the basis of the first order shear deformation plate theory. Later, Malekzadeh and Heydarpour [14] applied the mixed Navier-layerwise differential quadrature method to investigate the free vibration and static response of simply supported laminated plates with FG-CNTRC layers.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics of functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports

Zhong

Wang

Tang

et al. 2018

Curved and Layered Structures

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This paper presents the first known vibration characteristics of moderately thick functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports on the basis of the firstorder shear deformation theory. Different distributions of single walled carbon nanotubes (SWCNTs) along the thickness are considered. Uniform and other three kinds of functionally graded distributions of carbon nanotubes along the thickness direction of plates are studied. The solutions carried out using an enhanced Ritz method mainly include the following three points: Firstly, create the Lagrange energy function by the energy principle; Secondly, as the main innovation point, the modified Fourier series are chosen as the basic functions of the admissible functions of the plates to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges; Lastly, solve the natural frequencies as well as the associated mode shapes by means of the Ritz-variational energy method. In this study, the influences of the volume fraction of CNTs, distribution type of CNTs, boundary restrain parameters, location of the internal line supports, foundation coefficients on the natural frequencies and mode shapes of the FG-CNT reinforced composite rectangular plates are presented.

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“…The IMLS-Ritz method was employed by Zhang et al [22][23][24][25] to study the free vibration and buckling of FG-CNT reinforced composite plate problems. The free vibration behavior of quadrilateral laminated thin-to-moderately thick plates with carbon nanotube reinforced composite (CNTRC) layers was studied by Malekzadeh and Zarel [26].…”

Section: Introductionmentioning

confidence: 99%

“…The aforementioned studies [14][15][16][17][18][19][20][21][22][23][24][25][26] have shown that the mechanical structural behaviors of FG-CNT reinforced composites can be considerably improved by the functionally graded distribution of CNTs in the matrix. Although some research on FG-CNT reinforced composite plates has been performed, the FG-CNT reinforced composite is a newly proposed composite material and more research efforts need to be made for a better understanding of this new material.…”

Section: Introductionmentioning

confidence: 99%