Nonlinear primary resonance behavior of graphene platelet-reinforced metal foams conical shells under axial motion

Ding, Hao-Xuan; She, Gui-Lin

doi:10.1007/s11071-023-08564-x

Cited by 17 publications

(1 citation statement)

References 66 publications

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“…Thus, it is necessary to investigate the effect of internal pores on the dynamic behaviour of porous structures. Some researchers studied the vibration characteristics of porous isotropic [31] and [32], sandwich [33] and [34]. For the functionally graded porous (FGP) truncated conical panels with piezoelectric actuators in thermal environments, Chan et al [35] investigated the nonlinear dynamic response and free vibration.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets

Huang,

Wei,

Wang

et al. 2024

sv-jme

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The nonlinear vibration analysis of functionally graded reinforced with graphene platelet (FG-GRC) porous truncated conical shells surrounded by the Winkler-Pasternak elastic foundation is presented in this paper. An improved model for evaluating the material properties of porous composites is proposed. Three types of porous distribution and three patterns of graphene nanoplatelets (GPLs) dispersion are estimated. Coupled with the effect of the Winkler-Pasternak elastic foundation, the nonlinear governing equations are developed by using the Hamilton principle. The Galerkin integrated technique is employed to obtain the linear and nonlinear frequencies of the shells. After the present method is validated, the effects of the pores, GPLs, the Winkler-Pasternak foundation, and the semi-vertex are investigated in detail. The results show that the linear frequency can be raised by increasing the values of the mass volume of the GPL and foundation parameters. In contrast, the ratio of nonlinear to linear frequency declines as the mass volume of the GPLs and foundation parameters rises. Furthermore, it is found that the minimum ratio of nonlinear to linear frequency can be obtained as the semi-vertex angle is about 55º, and the effect of porosity distribution on the linear and linear frequencies might be neglected.

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