Large amplitude vibration of FG-CNT reinforced composite annular plates with integrated piezoelectric layers on elastic foundation

Keleshteri, M.M.; Asadi, H.; Wang, Q.

doi:10.1016/j.tws.2017.08.035

Cited by 72 publications

(7 citation statements)

References 57 publications

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“…Accuracy of the Euler-Bernoulli beam theory in predicting nonlinear natural frequencies of bidirectional porous beams has been studied in comparison to the Reddy beam theory. Generalized differential quadrature method (GDQM), which has been used widely for studying vibration behavior of structures [44][45][46][47][48][49][50][51][52][53][54][55][56], is utilized to discretize the nonlinear dynamic equations along with the boundary conditions. Picard iterative approach is employed to solve the nonlinear system of equations to obtain nonlinear natural frequencies and mode shapes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of bidirectional porous beams

Keleshteri

Jelovica

2021

Engineering with Computers

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This paper presents nonlinear vibration behavior of shear deformable bidirectional porous beams with non-uniform porosity distribution. A new porosity distributions are proposed to maximize natural frequencies of the porous beam. It is assumed that closed-cell voids are distributed along the thickness and length of the beam. Hamilton principle is used to derive nonlinear governing equations using Reddy beam theory considering von Karman geometrical nonlinearity. Generalized differential quadrature method, harmonic balance approach along with the Picard iterative approach are used to discretize and solve the nonlinear dynamic equations. The variation of nonlinear frequency versus the vibration amplitude is highlighted considering various influential factors such as geometrical parameters, porosity distributions, beam theories and boundary conditions. It is shown that the newly defined porosity distribution can increase the frequencies in comparison to the conventional porosity distribution. Comparing beams of the same weight shows that porosities near the center of the beam further increases frequencies in comparison to the other porosity distributions. Moreover, bidirectional porosity increases the frequencies in comparison to the unidirectional porosity. Frequencies of the bidirectional porous Reddy beam depend not only on the bending stiffness, as in the case of unidirectional porous beam, but also on the first derivative of the bending stiffness.

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Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of bidirectional porous beams

Keleshteri

Jelovica

2021

Engineering with Computers

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“…In the literature, analyses correspond to FGCNT circular, annular and annular sector plates are limited in number. For example, Keleshteri et al [15] and Mohammadzadeh-Keleshteri et al [16] by using FSDT plate theory, von Karman starin-displacement assumptions, Hamilton principle and the generalized DQM studied the nonlinear vibration response of FGCNT annular sector plates with piezoelectric layers. Zhong et al [17] based on FSDT and by using weak form approach and Ritzvariational energy method investigated vibration analysis of FGCNT annular and sector plates.…”

Section: Introductionmentioning

confidence: 99%

Static, dynamic and natural frequency analyses of functionally graded carbon nanotube annular sector plates resting on viscoelastic foundation

Babaei¹,

Asemi

2020

SN Appl. Sci.

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In this paper, static, dynamic and natural frequency responses of composite annular sector plate with carbon nanotubes (CNTs) reinforcements resting on viscoelastic foundation are investigated. The carbon nanotubes are considered to have uniform or functionally graded pattern in the plate thickness. Kelvin-voight model is used to model the viscoelastic foundation. To model the problem, Hamilton principle based on first shear deformation plate theory and finite element method are applied. The mechanical properties of annular sector plate composed of CNTs and polymer matrix are evaluated by using the rule of mixtures. The numerical results are obtained for investigating the effect of various factors such as distribution and volume fraction of CNTs, boundary conditions, stiffness and damping coefficients of viscoelastic foundation and sector angles on natural frequency, static and dynamic transient responses of the plate.

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“…Due to possessing excellent thermo-mechanical and electromechanical characteristics, new composite materials having a polymer matrix filled with carbon based-structures have been broadly utilized in different engineering sectors including mechanics and aerospace engineering [1][2][3][4][5][6]. A comparison between carbon-filled composites (carbon nanotube and graphene platelet-reinforced composites) reveals that graphene platelets (GPLs) have lower production cost and higher specific surface areas.…”

Section: Introductionmentioning

confidence: 99%

Finite element forced vibration analysis of refined shear deformable nanocomposite graphene platelet-reinforced beams

Barati

Shahverdi

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, forced vibration investigation of a nanocomposite beam reinforced with different distributions of graphene platelets (GPLs) in thermal environments is performed by the development of a higher-order refined beam element. The developed beam element contains ten degrees of freedom related to axial, bending and transverse shear displacements. A uniformly distributed dynamic load with harmonic oscillations is exerted to the nanocomposite beam. Different GPL distributions such as uniform, linear and nonlinear are considered. Convergence studies of the obtained results from the finite element method are also provided. Also, the obtained results based on the presented solution are verified with a previously published paper on vibration of GPL-reinforced beams. This research shows that the resonance behavior of a nanocomposite beam can be controlled by the GPL content and dispersions. Therefore, it is showed that the dynamical deflection is significantly affected by GPL weight fraction, type of GPL distribution, temperature change, elastic substrate and excitation frequency of applied dynamic load.

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Large amplitude vibration of FG-CNT reinforced composite annular plates with integrated piezoelectric layers on elastic foundation

Cited by 72 publications

References 57 publications

Nonlinear vibration analysis of bidirectional porous beams

Nonlinear vibration analysis of bidirectional porous beams

Static, dynamic and natural frequency analyses of functionally graded carbon nanotube annular sector plates resting on viscoelastic foundation

Finite element forced vibration analysis of refined shear deformable nanocomposite graphene platelet-reinforced beams

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