Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams

Ansari, R.; Shojaei, M. Faghih; Mohammadi, V.; Gholami, R.; Sadeghi, Fatemeh

doi:10.1016/j.compstruct.2014.03.015

Cited by 186 publications

(65 citation statements)

References 35 publications

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“…The Ritz method is applied to derive the nonlinear eigen frequency. Ansari et al [14] dealt with the nonlinear vibration behavior of nanocomposite beams reinforced with SWNT based on the Timoshenko beam theory along with von Karman geometric nonlinearity. Poly methyl methacrylate (PMMA) is considered as the matrix.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded SWNT reinforced aluminum alloy beam

Selmi¹,

Bisharat²

2018

J. vibroeng.

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Abstract. Aluminum alloy (Al-alloy) reinforced with Single walled carbon nanotubes (SWNT), which represents an important industrial application, is studied. Different beam theories (BT) are applied to investigate functionally graded (FG) beams made of Al-alloy reinforced with randomly oriented, straight and long SWNT. The Rayleigh-Ritz method is used to estimate the beam frequencies. First, the Mori-Tanak (M-T) homogenization technique is used to predict the effective material properties of the beams. Second, results from BT are verified against finite element (FE) simulations. Next, a parametric study is carried out in order to investigate the influence of SWNT volume fractions, SWNT distributions and beam edge-to-thickness ratios on the vibration behavior of the FG beam. Results demonstrate the important effect of the studied parameters on the dynamic behavior of the FG SWNT reinforced Al-alloy composite beams.

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Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded SWNT reinforced aluminum alloy beam

Selmi¹,

Bisharat²

2018

J. vibroeng.

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“…(12), energy-based methods also may be used to solve the equations associated with Eq. (12). Ritz method as a powerful tool is used extensively in the solution of linear and nonlinear problems arising in various fields of structural mechanics, see e.g.…”

Section: Solution Methodsmentioning

confidence: 99%

“…In the above equation, K s is the shear correction factor and is taken as K s = π 2 /12 [12]. N T is the induced stress resultant due to the uniform temperature rise loading which is equal to…”

Section: Basic Formulationmentioning

confidence: 99%

“…It is concluded that, by proper usage of distribution pattern of CNTs, the buckling resistance of the beam may be increased. Ansari et al [12] applied the differential quadrature and Galerkin methods to analyse the nonlinear forced vibrations of a CNTRC beam subjected to lateral periodically varying load. Both uniform and graded patterns of CNTs across the beam thickness are included into the formulation.…”

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confidence: 99%

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Nonlinear free vibration of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets

Mirzaei

Kiani

2016

Acta Mech

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In this research, large amplitude free vibrations of a sandwich beam with stiff core and carbon nanotube (CNT)-reinforced face sheets are analysed. The distribution of CNTs across the thickness of the face sheets may be uniform or functionally graded. The equivalent single-layer theory of Timoshenko is used to construct the Hamiltonian of the beam under the von Kármán type of geometrical nonlinearity assumptions. A uniform temperature field through the beam is also included in the formulation. The Ritz method with polynomial basis functions is used to discrete the equations of motion and establish the matrix representation of the governing equations. A nonlinear eigenvalue problem is obtained and solved using a standard continuation procedure. After validating the developed solution method and formulation, parametric studies are conducted to examine the influences of thermal environment, core thickness-to-face sheet thickness ratio, boundary conditions, amplitude of vibrations, CNTs volume fraction and their distribution pattern. It is concluded that an increase in the volume fraction of CNTs results in higher fundamental frequency and decreases the nonlinear-to-linear frequency ratio.

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“…2 These CNT based polymer composites have potential uses in many fields, such as strain sensors, damping augmentation, super capacitors, electromagnetic radiation shield coatings, and actuators. [3][4][5][6][7] Polyaniline (PANI) was discovered over 150 years ago; however, only since the early 1980s has PANI captured the intense attention of the scientific community mainly due to the rediscovery of its high electrical conductivity. 8 Also, PANI is the cheapest polymer among its conducting polymer family, which has a rich chemistry.…”

Section: Introductionmentioning

confidence: 99%

Polyaniline/multi-walled carbon nanotube composites for structural vibration damping and strain sensing

et al. 2016

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Polyaniline (PANI)/11% Multi-carbon nanotubes (MWCNT) nanocomposites sensors were synthesized through an in situ polymerization method. Frits compression method was adopted to make PANI/MWCNT. Transmission Electron Microscopy (TEM) and Scanning Electron Microscopy (SEM) tests results showed that this technique produced a coating of PANI onto the MWCNT, which indicated that CNT were well dispersed in the polymer matrix. Several tests were run to evaluate the sensor's capabilities. The free end vibration test results showed that the double sided attachment of the sensor had higher damping ratio values than single sided attachment. Also, damping ratios were higher when the sensor was placed at the clamped end. Further, the strain sensing properties of PANI/MWCNT sensors were compared with the conventional foil strain gage. The dynamic sensing test results showed that over the range of 10-1000 Hz, the PANI/MWCNT composite sensor was consistently superior to the traditional foil strain gage for sensing purposes.

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Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams

Cited by 186 publications

References 35 publications

Free vibration of functionally graded SWNT reinforced aluminum alloy beam

Free vibration of functionally graded SWNT reinforced aluminum alloy beam

Nonlinear free vibration of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets

Polyaniline/multi-walled carbon nanotube composites for structural vibration damping and strain sensing

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