Nonlinear vibrations of a reinforced composite plate with carbon nanotubes

Guo, Xiaoqin; Zhang, W.

doi:10.1016/j.compstruct.2015.08.063

Cited by 70 publications

(20 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Structural analysis of carbon-based composite structures is very important in the successful design and applications of this novel nanocomposites. The static bending, elastic buckling, postbuckling, free and forced vibrations, bifurcation and chaotic movement of CNTs reinforced composite structures have been extensively investigated [19][20][21][22][23][24][25][26]. Studies on the structural behavior of graphene reinforced composite structures, however, is quite limited.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets

Song

Yang

Kitipornchai

2018

Composites Part B: Engineering

268

View full text Add to dashboard Cite

This paper presents static bending and compressive buckling analyses of functionally graded multilayer graphene nanoplatelet (GPL)/polymer composite plates within the framework of the first-order shear deformation theory. The GPL weight fraction shows a layer-wise change along the thickness direction with GPLs uniformly dispersed in the polymer matrix in each individual layer. The effective Young's modulus of the nanocomposites is estimated through the Halpin-Tsai micromechanics model while the effective Poisson's ratio is determined by the rule of mixture. Analytical solutions are obtained for the static deflection and critical buckling load of the simply supported functionally graded GPL/polymer plates by using the Navier solution technique. Numerical results show that GPL distribution pattern, weight fraction, and geometry and size have significant influences on the bending and buckling behaviors of the functionally graded GPL reinforced nanocomposite plate.

show abstract

Section: Accepted Manuscriptmentioning

confidence: 99%

Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets

Song

Yang

Kitipornchai

2018

Composites Part B: Engineering

268

View full text Add to dashboard Cite

show abstract

“…Strain-displacement relationships of cylindrical composite panel can be considered as follows (Guo and Zhang 2016): …”

Section: The Governing Equations Of Motion For Mee Composite Cylinmentioning

confidence: 99%

“…They investigated the effects of material length scale parameters, applied voltage, elastic foundation coefficients, aspect ratio and van der Waals interaction on the dimensionless critical biaxial buckling load and deflection of the double-coupled nanocomposite rectangular plates. Guo and Zhang (2016) studied the nonlinear vibration of composite plate reinforced with the carbon nanotubes under combined the parametric and forcing excitations. Mohammadimehr and Mostafavifar (2016) investigated the free vibration analysis of a sandwich plate with a transversely flexible core functionally graded-carbon nanotubes (FG-CNTs) reinforced nano composite face sheets subjected to magnetic field and temperature-dependent material properties based on high-order sandwich plate theory.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT

Mohammadimehr

Okhravi

Alavi

2016

Journal of Vibration and Control

View full text Add to dashboard Cite

In this paper, free vibration analysis of magneto-electro-elastic (MEE) cylindrical composite panel reinforced by various distributions of carbon nanotubes (CNTs) considering open and closed circuits boundary conditions based on the first order shear deformation theory (FSDT) is carried out. Carbon nanotubes (CNTs) in Poly-vinylidene fluoride (PVDF) matrix are arranged and different distribution patterns of CNTs including uniform distribution (UD), FG-V, FG-A, FG-X and FG-O are employed. The Young’s and shear moduli are obtained using the extended mixture rule. Also, the material properties of magneto-electric fiber reinforced composite are estimated by mixture rule. By employing energy method and Hamilton’s principle, the equations of motion for cylindrical composite panel reinforced by CNTs are derived. In this paper, the effects of the volume fraction, various distributions of CNTs including uniform and functionally graded (FG) distributions, angle orientation, two elastic foundation parameters, aspect ratio (length-to-thickness ratio), radius-to-thickness ratio, and the multi-physical fields with open and closed circuits boundary conditions on the natural frequency of MEE cylindrical composite panel are considered. These effects play an important role on the natural frequencies. Moreover, the numerical results of this research can be used to manufacturing process design and optimization MEE cylindrical composite panel under multi-physical fields and the previous results can be used in order to prevent the resonance phenomenon.

show abstract

“…They focused on the effects of lamination angle, number of layers, distributions and volume fractions of CNTs, plate width-to-thickness ratio and plate aspect ratio on the natural frequencies of laminated FG-CNTRC rectangular plates with various boundary conditions. Using third-order shear deformation theory (TSDT), Mori-Tanaka method and method of calculating the average stress of composite materials, Guo and Zhang [15] studied nonlinear vibration behaviors of CNTRC rectangular plates under combined dynamic axial and transverse excitations. They investigated effects of the forcing excitations on the different kinds of the periodic and chaotic motions of the CNTRC plates through a comprehensive parametric study.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of cantilever FG-CNTRC trapezoidal plates

Majidi

Azadi

Fahham

2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

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.

show abstract

Nonlinear vibrations of a reinforced composite plate with carbon nanotubes

Cited by 70 publications

References 29 publications

Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets

Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets

Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT

Vibration analysis of cantilever FG-CNTRC trapezoidal plates

Contact Info

Product

Resources

About