Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures

Zghal, Souhir; Frikha, Ahmed; Dammak, Fakhreddine

doi:10.1016/j.apm.2017.08.021

Cited by 134 publications

(25 citation statements)

References 61 publications

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“…In the following, the schematic of the CNT dispersion in a matrix displayed as below [23]. In the above equations, h is the thickness of structures and z indicates the direction of thickness.…”

Section: Mathematical Modelingmentioning

confidence: 99%

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Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

2019

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This paper presents free vibration of the double-curved shells and panels with piezoelectric layers in a thermal environment. Vibration characteristics of elliptical, spherical, cycloidal, and toro circular shells of revolution are studied in detail. These structures are made of a based carbon nanotubes (CNTs) core and piezoelectric layers at the upper and lower surfaces. It is supposed that temperature changes linearly through the thickness direction. Reissner-Mindlin and the first order shear deformation (FSDT) theories are implemented to derive the governing equations of the considered structures. The distribution of nanotubes is assumed to be linear along the thickness direction. For solving the equation, the General Differential Quadrature (GDQ) method is implemented to investigate the dynamic behavior of the structures. Finally, the effects of the boundary conditions, the thickness of piezoelectric layers, the functional distribution of CNTs, thermal environment and kinds of the circuit (opened-circuit and closedcircuit) are analyzed. Eigenvalue system is solved to obtain natural frequencies. It is delineated that the obtained fundamental frequency by the closed -circuit is smaller than those obtained by the opened-circuit. Another interesting result is that the natural frequency is decreased by increasing temperature.

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Section: Mathematical Modelingmentioning

confidence: 99%

“…Table 4 The parameters of (10, 10) armchair SWCNT obtained from molecular dynamics [32]. It is worth noting that, the shear modulus 13 G is taken equal to 12 G whereas 23 G is taken equal to 12 1.2G [32].…”

Section: Table3mentioning

confidence: 99%

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

2019

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“…22–30 For the sake of completeness, further works on static, dynamic, vibration, buckling, and post-buckling of FG plates and shells and its derivatives like FG-CNTRC using various theories can be found. 31–46 In order to analyze the size-dependent behavior of nano and micro beams and plates, several non-local theories are used by many researchers, in the last years, like the Eringen nonlocal continuum theory, the strain gradient elasticity, and the modified couple stress theory. For more details about these theories, one can refer to literature, 47–52 among others.…”

Section: Introductionmentioning

confidence: 99%

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Zghal

Dammak

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper investigates the vibrational behavior of beams made of functionally graded materials using a mixed formulation. Unlike the other high order shear deformation theories (HSDTs), the proposed formulation is elaborated within a double field of displacements and stresses which offers the possibility of the development of low order linear elements with enhanced accuracy. As well as, the effect of the transverse shear strains and the zero condition of the transverse shear stresses on the top and bottom surfaces are verified. The material characteristics of the beams are described via a power law distribution in order to take into account the continuous variation of the volume fraction of its constituents along the thickness direction. Numerical simulations are conducted to show the influence of power law index, slenderness ratios, and boundary conditions on natural frequencies of functionally graded beams. Results demonstrate the efficiency and the applicability of the model based on a refined mixed formulation and its ability to predict the vibrational behavior of functionally graded beams with good accuracy.

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“…Nguyen et al [16] investigated the thermal and mechanical stability of a functionally graded composite truncated conical shell reinforced by carbon nanotube fibers and surrounded by the elastic foundations. Zghal et al presented [17] free vibration analysis of functionally graded composite shell structures reinforced by carbon nanotubes. Some other investigations about static, dynamic, linear and nonlinear of carbon nanotube-reinforced functionally graded composites are also reported [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of low-velocity impact of graphene-reinforced composite functionally graded cylindrical shells

Lei

Tong

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, low-velocity impact behavior of graphene-reinforced composite functionally graded (GRC-FG) cylindrical shells in thermal environments ia investigated analytically. The effective temperature-dependent material properties of the GRC-FG cylindrical shells are evaluated based on the extended Halpin-Tsai micromechanical model. The contact process follows a linearized contact law which is used to obtain a linearized contact coefficient, and Fourier series expansion and Laplace transforms are utilized during the solving process. The analytical expression of transverse displacement of GRC-FG cylindrical shells is furnished. The motion equations of the GRC-FG cylindrical shells are established based on Reddy's thirdorder shear deformation theory (HSDT). The numerical results illustrate the influences of graphene distribution, temperature variation, geometric parameters, impactor mass and different impactor velocities on the central deflection of the GRC-FG cylindrical shells as well as the contact force between the GRC-FG cylindrical shells and the impactor.

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Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures

Cited by 134 publications

References 61 publications

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Analytical solution of low-velocity impact of graphene-reinforced composite functionally graded cylindrical shells

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