Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses

Wang, Yuewu; Xie, Ke; Fu, Tairan; Shi, Congling

doi:10.1016/j.compstruct.2018.11.014

Cited by 113 publications

(20 citation statements)

References 50 publications

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“…Wang et al [64] applied sinusoidal shear deformation theory (SSDT) to focus on performing a free vibration analysis of a FGM porous cylindrical shell with different sets of boundary conditions. Wang and his colleagues [65] developed a new HSDT to analyze the forced vibration of an FG graphene nanoplatelet reinforced composite beam under two successive moving masses.…”

Section: Introductionmentioning

confidence: 99%

A Refined Simple First-Order Shear Deformation Theory for Static Bending and Free Vibration Analysis of Advanced Composite Plates

et al. 2019

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A refined simple first-order shear deformation theory is developed to investigate the static bending and free vibration of advanced composite plates such as functionally graded plates. By introducing the new distribution shape function, the transverse shear strain and shear stress have a parabolic distribution across the thickness of the plates, and they equal zero at the surfaces of the plates. Hence, the new refined theory needs no shear correction factor. The Navier solution is applied to investigate the static bending and free vibration of simply supported advanced composite plates. The proposed theory shows an improvement in calculating the deflections and frequencies of advanced composite plates. The formulation and transformation of the present theory are as simple as the simple first-order shear deformation. The comparisons of deflection, axial stresses, transverse shear stresses, and frequencies of the plates obtained by the proposed theory with published results of different theories are carried out to show the efficiency and accuracy of the new theory. In addition, some discussions on the influence of various parameters such as the power-law index, the slenderness ratio, and the aspect ratio are carried out, which are useful for the design and testing of advanced composite structures.

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Section: Introductionmentioning

confidence: 99%

A Refined Simple First-Order Shear Deformation Theory for Static Bending and Free Vibration Analysis of Advanced Composite Plates

et al. 2019

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“…The Halpin-Tsai model was used to calculate the effective Young's modulus of a polymer nanocomposite reinforced by graphene nanoplatelets (GPLs), and the comparisons between the theoretical predictions and experimental results were also performed [47,48]. Due to the simple form in mathematics, the Halpin-Tsai micromechanics model has been widely employed to estimate the effective Young's modulus of functionally graded graphene nanoplatelets reinforced composites [27][28][29][30][31][32][33][34][35][36][37]. The main objective of the current work is to propose an adjustable distribution law to find a more effective way to use the GPL reinforcements.…”

Section: Evaluation Of Effective Mechanical Propertiesmentioning

confidence: 99%

“…To address the effects of nanofiller distributions on the mechanical behaviors of FG polymer-based nanocomposites, different types of distributions, such as the uniform distribution (UD), FG-V shape, FG-O shape and FG-X shape, were introduced and employed in many reports, e.g., references [21][22][23][24][25][26]. In addition, the distribution laws in forms of general polynomials have also been implemented [27][28][29]. All existing functions to describe the nanofiller distribution law are not adjustable since no adjustable parameter is included.…”

Section: Introductionmentioning

confidence: 99%

Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets

Wang

Xie

et al. 2019

Nanomaterials

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A novel functionally graded (FG) polymer-based nanocomposite reinforced by graphene nanoplatelets is proposed based on a new distribution law, which is constructed by the error function and contains a gradient index. The variation of the gradient index can result in a continuous variation of the weight fraction of graphene nanoplatelets (GPLs), which forms a sandwich structure with graded mechanical properties. The modified Halpin–Tsai micromechanics model is used to evaluate the effective Young’s modulus of the novel functionally graded graphene nanoplatelets reinforced composites (FG-GPLRCs). The bending and elastic vibration behaviors of the novel nanocomposite beams are investigated. An improved third order shear deformation theory (TSDT), which is proven to have a higher accuracy, is implemented to derive the governing equations related to the bending and vibrations. The Chebyshev–Ritz method is applied to describe various boundary conditions of the beams. The bending displacement, stress state, and vibration frequency of the proposed FG polymer-based nanocomposite beams under uniformly distributed loads are provided in detail. The numerical results show that the proposed distributions of GPL nanofillers can lead to a more effective pattern of improving the mechanical properties of GPL-reinforced composites than the common ones.

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“…Chen et al [25] investigated the nonlinear vibration and postbuckling of FG graphene-reinforced porous nanocomposite beams. Additionally, transient responses owing to moving loads are important because the interactions between moving objects and structural components often appear in machining processing, aerospace engineering, and transportation engineering [15,[26][27][28]. Şimşek et al [29] studied the dynamic response of FG beams under a moving harmonic load.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of functionally graded graphene oxide-reinforced composite beams using a new Ritz-solution shape function

Wang

Xie

2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, a new Ritz-solution shape function, in the form of a combination of polynomials and general exponential functions for various boundary conditions, is constructed from two-dimensional elasticity solutions using an inverse method. In conjunction with an improved third-order shear deformation theory, a reliable and accurate model is developed for the analysis of the mechanical behavior of composite beams. Free and forced vibrations of a functionally graded (FG) polymer nanocomposite beam reinforced with a low content of graphene oxide (GO) and excited by a moving load with a constant velocity are investigated. The weight fraction of the GOs is assumed to vary continuously and smoothly in the thickness direction. The modified Halpin-Tsai micromechanics model is used to evaluate the effective Young's modulus of the FG GOreinforced composites. The governing equations of motion are derived using the Lagrange method. The Newmark-β method is adopted to solve the forced vibration problem of a beam subjected to a moving load. A parametric study is conducted to demonstrate the effects of GO distribution patterns, weight fraction, and size on the vibration response of the nanocomposite beam with various classical boundary conditions.

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Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses

Cited by 113 publications

References 50 publications

A Refined Simple First-Order Shear Deformation Theory for Static Bending and Free Vibration Analysis of Advanced Composite Plates

A Refined Simple First-Order Shear Deformation Theory for Static Bending and Free Vibration Analysis of Advanced Composite Plates

Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets

Vibration analysis of functionally graded graphene oxide-reinforced composite beams using a new Ritz-solution shape function

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