The influence of mechanical uncertainties on the free vibration of functionally graded graphene-reinforced porous nanocomposite shells of revolution

Baghlani, Abdolhossein; Najafgholipour, Mohammad Amir; Khayat, Majid

doi:10.1016/j.engstruct.2020.111356

Cited by 27 publications

(8 citation statements)

References 71 publications

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“…Gao et al 36 performed the dynamic stability analysis for the graphene reinforced functionally graded porous beams in order to estimate the critical load whilst taking randomness in the distribution of porosity and the dispersion of graphene platelets. Baghlani et al 37 presented the uncertainty propagation in vibration response of graphene reinforced functionally graded porous shells of revolution. In this study, they also explored the sensitivity of the vibration response for the uncertain material and geometric specifications of reinforcements while considering various porous distributions and GPLs’ patterns.…”

Section: Introductionmentioning

confidence: 99%

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Shakir

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The present study explores the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions. The material uncertainty is considered in the parameters associated with constituents that is, metal and graphene nanoplatelets (GPLs) individually and simultaneously. The metal matrix is reinforced with ultra-lightweight and high stiffness carbonaceous nanofiller, that is, GPLs. Halpin-Tsai micromechanics model is adopted to estimate effective Young’s modulus of the metal-GPLs composite whereas effective mass density and Poisson’s ratio are calculated using the Voigt model. The micro-structural gradation by creating pores is accomplished along the thickness direction of the panel employing certain continuous functions. These functions describe symmetric and asymmetric porosity distributions and associated patterns of GPLs. The equation of motion is developed using Euler-Lagrange’s equation which is based on C0-continuous structural kinematics with 7 degrees of freedom. Finite element modeling in conjunction with the first-order perturbation technique has been applied to quantify the stochastic natural frequency in terms of the mean and standard deviation of the natural frequency. Various results have been examined to highlight the influence of parameters especially related to porosity, and graphene nanoplatelets on the stochastic natural frequency of FG-GPLs porous panel constrained with conventional and unconventional boundary conditions.

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Section: Introductionmentioning

confidence: 99%

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Shakir

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Gao et al [29] conducted nonlinear free vibration analysis of a porous plate reinforced with GPLs. Baghlani et al [30] studied uncertainty propagation in free vibration of an FG porous shell with GPL reinforcement. Anamagh et al [31] developed a spectral-Chebyshev approach to study vibrations of an FG porous plate reinforced with GPLs.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Spinning Sandwich Annular Plates with Functionally Graded Graphene Nanoplatelet Reinforced Porous Core

Huang

Zhao

et al. 2022

Materials

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This paper conducted the free vibration analysis of a sandwich annular thin plate with whirl motion. The upper and lower faces of the annular plate are made of uniform solid metal, while its core is porous foamed metal reinforced by graphene nanoplatelets (GPLs). Both uniform and non-uniform distributions of GPLs and porosity along the direction of plate thickness which leads to a functionally graded (FG) core are taken into account. The effective material properties including Young’s modulus, Poisson’s ratio and mass density are calculated by employing the Halpin–Tsai model and the rule of mixture, respectively. Based on the Kirchhoff plate theory, the differential equations of motion are derived by applying the Lagrange’s equation. Then, the assumed mode method is utilized to obtain free vibration behaviors of the sandwich annular plate. The finite element method is adopted to verify the present model and vibration analysis. The effects of porosity coefficient, porosity distribution, graphene nanoplatelet (GPL) distribution, graphene nanoplatelet (GPL) weight fraction, graphene nanoplatelet length-to-thickness ratio (GPL-LTR), graphene nanoplatelet length-to-width ratio (GPL-LWR), spinning speed, outer radius-to-thickness ratio and inner radius-to-thickness ratio of the plate, are examined in detail.

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“…Shells of revolution are commonly used as roofing units in civil engineering (as they are capable of covering large column-free areas, Bakshi and Chakravorty, 2013, 2020; Nayak and Bandyopadhyay, 2006), as rocket or spacecraft parts in aerospace engineering (Espinoza et al, 2012; Menaa and Lakis, 2015), as pressure vessels, reservoirs, and tanks in ocean engineering (Chen et al, 2015, 2018; Xie et al, 2019b, 2020a; Zhang et al, 2021), and as some small structures or structural components in mechanical engineering (Arabyan, 2020; Baghlani et al, 2021; Ni et al, 2019). According to the axial openings, shells of revolution are classified as closed (no axial opening), semi-closed (one axial opening), and open (two axial openings) shells of revolution.…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical method for free vibration of semi-closed shells of revolution with variable curvature

Lian

Sun

et al. 2022

Journal of Vibration and Control

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This study is concerned with the free vibration analysis of semi-closed shells of revolution with variable curvature, with a focus on the analytical solution to the natural frequency of such shells. A semi-closed shell of revolution with variable curvature is firstly divided into some narrow small shell segments, then the first small shell segment with a closed shell apex is approximated with a semi-closed conical shell, while the remaining small shell segments are approximated with a series of progressively larger truncated conical shells. Since each small conical shell is part of the large semi-closed shell of revolution with variable curvature and has to vibrate in sync with the large shell, the analytical solution to the axisymmetric free vibration of the large shell can be transformed into the analytical solutions to the synchronous free vibration of these small conical shells. The general solutions for the natural frequencies of all small conical shells are analytically derived under the condition that conical shells have zero meridional curvature. The undetermined constants in the general solutions are determined by letting all natural frequencies of these small conical shells be equal. Finally, the analytical solution for the axisymmetric free vibration of semi-closed shells of revolution with variable curvature is presented and is proved to be basically reliable by conducting a confirmatory experiment based on polymer 3D-printing technique.

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The influence of mechanical uncertainties on the free vibration of functionally graded graphene-reinforced porous nanocomposite shells of revolution

Cited by 27 publications

References 71 publications

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Free Vibration Analysis of Spinning Sandwich Annular Plates with Functionally Graded Graphene Nanoplatelet Reinforced Porous Core

A semi-analytical method for free vibration of semi-closed shells of revolution with variable curvature

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