Free and forced vibration analysis of viscoelastic damped FG-CNT reinforced micro composite beams

Mohammadimehr, Mehdi; Monajemi, A. A.; Afshari, Hassan

doi:10.1007/s00542-017-3682-4

Cited by 30 publications

(8 citation statements)

References 44 publications

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“…For free vibration analysis, using GDQM, the set of governing equations (19) and boundary conditions (20) and (21) can be converted to an eigenvalue equation and natural frequencies can be obtained. Also, for forced vibration analysis, using GDQM and Newmark beta method [37], the set of governing equations (15) and boundary conditions (16) and (17) can be solved numerically.…”

Section: Governing Equationsmentioning

confidence: 99%

“…They investigated influences of volume fraction of carbon nanotubes, edge-to-radius ratio and rotation speed on the natural frequencies. Mohammadimehr et al [17] presented an exact solution for free and forced vibration analyses of simply supported viscoelastic FG-CNT-reinforced micro composite beams. They studied the effect of distribution and volume fraction of CNTs and viscoelastic effect on the natural frequencies and dynamic response.…”

Section: Introductionmentioning

confidence: 99%

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Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels

Arani

Kiani

Afshari

2019

Jnl of Sandwich Structures & Materials

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In this paper, free and forced vibration analysis of multi-layered functionally graded composite cylindrical panels reinforced by single wall carbon nanotubes is presented. The panel is composed of different layers which are reinforced using carbon nanotubes arranged in arbitrary directions. Reddy’s third-order shear deformation theory is used which makes results more accurate especially for thick panels. The set of governing equations and boundary conditions is derived using Hamilton’s principle and is solved numerically using generalized differential quadrature method and Newmark beta method. Convergence and accuracy of the presented solution are confirmed and effect of volume fraction, distribution and orientation of carbon nanotubes and geometrical parameters on the natural frequencies of the panel are investigated for different boundary conditions. Also, effect of volume fraction and orientation of carbon nanotubes on the dynamic response of the panel are investigated. Result of this paper can be considered as a useful tool in dynamic analysis of multilayer carbon nanotube-reinforced structures.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels

Arani

Kiani

Afshari

2019

Jnl of Sandwich Structures & Materials

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“…2 shows, four standard patterns of distribution of CNTs are considered including UD, FG-V, FG-O and FG-X. For these types of distribution, volume fraction of CNTs is given as [35] where h is thickness of the plate and V *…”

Section: Governing Equationsmentioning

confidence: 99%

Vibration analysis of cantilever FG-CNTRC trapezoidal plates

Majidi

Azadi

Fahham

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a numerical solution is presented for free vibration analysis of cantilever functionally graded carbon nanotubereinforced trapezoidal plates. The plate is modeled based on the first-order shear deformation theory, effective mechanical properties are estimated according to extended rule of mixture, and the set of governing equations and boundary conditions are derived using Hamilton's principle. Generalized differential quadrature method is employed, and natural frequencies and corresponding mode shapes are derived numerically. Convergence and accuracy of the solution are confirmed, and effect of various parameters on the natural frequencies is investigated including geometrical characteristics, volume fraction and distribution of carbon nanotubes. Because of similarity of the studied model with the wing, tail and fin of aircrafts and missiles, results of this paper can be useful in design and analysis of aeronautic vehicles in the near future. It is worth mentioning that results of this paper may serve as benchmarks for future studies.

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“…Shen was the first investigator to analyze the particular characteristics and behavior of the FG-CNTRC structures at different scales [ 45 ]. Following this landmark research, many studies on the forced vibration of FG-CNTRC beams [ 46 , 47 ] and plates [ 48 ] were carried out. The free vibration of FG-CNTRC plate were examined by Huu Quoc et al [ 49 ] with a new refined plate theory.…”

Section: Introductionmentioning

confidence: 99%

Geometric Non-Linear Analysis of Auxetic Hybrid Laminated Beams Containing CNT Reinforced Composite Materials

et al. 2020

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In the current work, a novel hybrid laminate with negative Poisson’s ratio (NPR) is developed by considering auxetic laminate which is composed of carbon nanotube-reinforced composite (CNTRC) and fiber-reinforced composite (FRC) materials. The maximum magnitude of out-of-plane NPR is identified in the case of (20 F/20 C/−20 C/20 C) S laminate as well. Meanwhile, a method for the geometric non-linear analysis of hybrid laminated beam with NPR including the non-linear bending, free, and forced vibrations is proposed. The beam deformation is modeled by combining higher-order shear-deformation theory (HSDT) and large deflection theory. Based on a two-step perturbation approach, the asymptotic solutions of the governing equations are obtained to capture the linear and non-linear frequencies and load-deflection curves. Moreover, a two-step perturbation methodology in conjunction with fourth-order Runge–Kutta method is employed to solve the forced-vibration problem. Several key factors, such as CNT distribution, variations in the elastic foundation, and thermal stress, are considered in the exhaustive analysis. Theoretical results for some particular cases are given to examine the geometric non-linearity behavior of hybrid beam with NPR as well as positive Poisson’s ratio (PPR).

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Free and forced vibration analysis of viscoelastic damped FG-CNT reinforced micro composite beams

Cited by 30 publications

References 44 publications

Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels

Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels

Vibration analysis of cantilever FG-CNTRC trapezoidal plates

Geometric Non-Linear Analysis of Auxetic Hybrid Laminated Beams Containing CNT Reinforced Composite Materials

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