Harmonic resonances of graphene-reinforced nonlinear cylindrical shells: effects of spinning motion and thermal environment

Dong, Youheng; Li, Xiangyu; Gao, Kang; Li, Yinghui; Yang, Jie

doi:10.1007/s11071-019-05297-8

Cited by 71 publications

(8 citation statements)

References 43 publications

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“…He studied the individual effect of Coriolis and centrifugal accelerations and initial hoop tension on the natural frequencies. Nonlinear harmonic resonance behavior of rotating GNP-reinforced cylindrical shells subjected to an external excitation and thermal load was investigated by Dong et al (2020a). They concluded that cylindrical shells with higher GNP volume fraction have lower vibration amplitudes in the primary resonance.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics of rotating truncated conical shells reinforced with agglomerated carbon nanotubes

Afshari

Amirabadi

2021

Journal of Vibration and Control

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In this article, a comprehensive study is conducted on the free vibration analysis of rotating truncated conical shells reinforced with functionally graded agglomerated carbon nanotubes The shell is modeled based on the first-order shear deformation theory, and effective mechanical properties are calculated based on the Eshelby–Mori–Tanaka scheme along with the rule of mixture. By considering centrifugal and Coriolis accelerations and initial hoop tension, the set of governing equations is derived using Hamilton’s principle and is solved numerically using the differential quadrature method Convergence and accuracy of the presented model are confirmed and the effects of different parameters on the forward and backward frequencies of the rotating carbon nanotube-reinforced truncated conical shells are investigated.

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Section: Introductionmentioning

confidence: 99%

Vibration characteristics of rotating truncated conical shells reinforced with agglomerated carbon nanotubes

Afshari

Amirabadi

2021

Journal of Vibration and Control

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“…where ν GPL and ν M are Poisson's ratios of the GPLs and the matrix, respectively. The thermal expansion coefficient of the FG-GPLRC truncated conical shell does not change considerably over a certain temperature range [45][46] . Thus, we consider the thermal expansion coefficient to be constant.…”

Section: Gpl-mentioning

confidence: 97%

“…The geometries of the GPLs with w GPL = 1.5 µm, h GPL = 1.5 nm, and l GPL = 2.5 µm are utilized [42] . The temperature of the inner surfaces of the FG-GPLRC truncated conical shell is T i = 300 K. The thermal expansion coefficients are α GPL = 5 × 10 −6 K −1 and α M = 60 × 10 −6 K −1 [46] . Table 3 lists the linear natural frequencies of the FG-GPLRC truncated conical shell for the three GPL distribution patterns when the ratio of the radius to the thickness is r 1 /h = 50, the ratio of the length to the radius is L/R = 2, and the weight fraction of the GPLs is W GPL = 0.01%.…”

Section: Linear Natural Frequenciesmentioning

confidence: 99%

Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Yang

Hao

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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In this study, the first-order shear deformation theory (FSDT) is used to establish a nonlinear dynamic model for a conical shell truncated by a functionally graded graphene platelet-reinforced composite (FG-GPLRC). The vibration analyses of the FG-GPLRC truncated conical shell are presented. Considering the graphene platelets (GPLs) of the FG-GPLRC truncated conical shell with three different distribution patterns, the modified Halpin-Tsai model is used to calculate the effective Young’s modulus. Hamilton’s principle, the FSDT, and the von-Karman type nonlinear geometric relationships are used to derive a system of partial differential governing equations of the FG-GPLRC truncated conical shell. The Galerkin method is used to obtain the ordinary differential equations of the truncated conical shell. Then, the analytical nonlinear frequencies of the FG-GPLRC truncated conical shell are solved by the harmonic balance method. The effects of the weight fraction and distribution pattern of the GPLs, the ratio of the length to the radius as well as the ratio of the radius to the thickness of the FG-GPLRC truncated conical shell on the nonlinear natural frequency characteristics are discussed. This study culminates in the discovery of the periodic motion and chaotic motion of the FG-GPLRC truncated conical shell.

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“…By introducing GPLs to FGM materials, novel FG GPLs-reinforced composite (FG-GPLRC) structures have been developed recently and have since attracted extensive attention in both research and engineering communities [24]. Yang and his co-workers conducted pioneering studies on the mechanical behaviors of FG-GPLRC structures, such as beams [25][26][27][28], shells [29,30], and plates [31,32]. Focusing on the stability analysis of FG-GPLRC arches, the authors devoted extensive efforts to the investigation of such structures, including the characteristics of nonlinear static buckling, dynamic buckling, and free vibration for FG-GPLRC arches with different boundary conditions and external loads [33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Analytical Prediction for Nonlinear Buckling of Elastically Supported FG-GPLRC Arches under a Central Point Load

et al. 2021

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In this paper, we present an analytical prediction for nonlinear buckling of elastically supported functionally graded graphene platelet reinforced composite (FG-GPLRC) arches with asymmetrically distributed graphene platelets (GPLs). The effective material properties of the FG-GPLRC arch are formulated by the modified Halpin–Tsai micromechanical model. By using the principle of virtual work, analytical solutions are derived for the limit point buckling and bifurcation buckling of the FG-GPLRC arch subjected to a central point load (CPL). Subsequently, the buckling mode switching phenomenon of the FG-GPLRC arch is presented and discussed. We found that the buckling modes of the FG-GPLRC arch are governed by the GPL distribution pattern, rotational restraint stiffness, and arch geometry. In addition, the number of limit points in the nonlinear equilibrium path of the FG-GPLRC arch under a CPL can be determined according to the bounds of successive inflexion points. The effects of GPL distribution patterns, weight fractions, and geometric configurations on the nonlinear buckling behavior of elastically supported FG-GPLRC arches are also comprehensively discussed.

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Harmonic resonances of graphene-reinforced nonlinear cylindrical shells: effects of spinning motion and thermal environment

Cited by 71 publications

References 43 publications

Vibration characteristics of rotating truncated conical shells reinforced with agglomerated carbon nanotubes

Vibration characteristics of rotating truncated conical shells reinforced with agglomerated carbon nanotubes

Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Analytical Prediction for Nonlinear Buckling of Elastically Supported FG-GPLRC Arches under a Central Point Load

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