Supersonic flutter behavior of a polymeric truncated conical shell reinforced with agglomerated CNTs

Afshari, Hassan; Ariaseresht, Yusef; Koloor, Seyed Saeid Rahimian; Amirabadi, Hossein Eslami; Bidgoli, Mostafa Omidi

doi:10.1080/17455030.2022.2082581

Cited by 16 publications

(5 citation statements)

References 41 publications

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“…The volume fraction of CNTs in these patterns varies in the meridional direction as follows:where p = 0,1,2,3,…, and the volume fraction of the matrix is achievable as V m = 1- V r . In Equation (7), Vr* is the average volume fraction of the CNTs which is described in the relation below in terms of the density of the CNTs ( ρ r ), the density of the polymeric matrix ( ρ m ), and the mass fraction of CNTs ( w r ) 30 :…”

Section: Governing Equationsmentioning

confidence: 99%

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Effects of non-uniformity in thickness and volume fraction of agglomerated CNTs on the dynamics of a spinning CNT-reinforced nanocomposite truncated conical shell

Amirabadi,

Afshari,

Sarafraz

et al. 2024

Noise & Vibration Worldwide

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In the presented work, the free vibration analysis of a rotating truncated conical shell whose thickness varies in the meridional direction is examined. The material that the shell is made of is a polymeric matrix (epoxy) enriched with carbon nanotubes (CNTs) whose volume fraction varies in the meridional direction. CNTs agglomeration is considered and the density and elastic constants of such a two-phase nanocomposite are calculated sequentially based on the Eshelby–Mori–Tanaka approach alongside the rule of mixture. The conical shell is modeled using the first-order shear deformation theory (FSDT) including the relative acceleration, Coriolis acceleration, and centrifugal acceleration along with the initial hoop tension, and the governing equations are obtained utilizing Hamilton’s principle. The solution of governing equations is performed via the combination of an analytical solution in the circumferential direction and a numerical one in the meridional direction via the differential quadrature method (DQM). The impacts of several parameters on the forward and backward natural frequencies of such a rotating shell are studied such as chirality, mass fraction and dispersion pattern of the CNTs, thickness variation parameters, and boundary conditions. It is observed that higher natural frequencies and critical rotational speeds can be achieved for CNT-reinforced conical shells when the volume fraction of the CNTs and the thickness of the shell increase from its small radius to the large one.

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Section: Governing Equationsmentioning

confidence: 99%

“…Based on the rule of mixture, the relation below provides the density of a polymer enriched with CNTs 30 :…”

Section: Governing Equationsmentioning

confidence: 99%

Effects of non-uniformity in thickness and volume fraction of agglomerated CNTs on the dynamics of a spinning CNT-reinforced nanocomposite truncated conical shell

Amirabadi,

Afshari,

Sarafraz

et al. 2024

Noise & Vibration Worldwide

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“…They found that both the mass volume and distribution of GPLs significantly affect the resonance response of the shells. Ding and She [28] obtained the nonlinear dynamic response of FG-GRC truncated conical shells and discussed the effects of the mass fraction of the GPLs, geometrical parameters, and the position of the external load on the response. Additionally, Bidgoli and Arefi [29] presented the nonlinear vibration analysis of sandwich plates with graphene nanoplatelet-reinforced face sheets.…”

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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“…They examined the dependency of the aeroelastic stability of the shell on the thickness variation factors. The free vibrational and supersonic flutter characteristics of a conical shell enriched with agglomerated CNTs were examined by Afshari, et al 18 It was concluded by them that subjoining a low amount of CNTs improves the critical aerodynamic pressure of the shell. Darakhsh, et al 19 presented a semi-analytical solution for the free vibration analysis of a polymer/fiber/CNT laminated conical shell with a variable thickness.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a sandwich conical shell with a magnetorheological elastomer core, enriched with carbone nanotubes and functionally graded porous face layers

Alinejad,

Jafari Mehradadi,

Najafizadeh

2024

Noise & Vibration Worldwide

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In this paper, the free vibration behaviors of a sandwich conical shell with a magnetorheological elastomer (MRE) core enriched with carbon nanotubes (CNTs) and two functionally graded (FG) porous face layers are investigated. The mathematical modeling of the shell is performed via the first-order shear deformation theory (FSDT) incorporating the continuity conditions between the face layers and the core. The porosity parameters are adjusted to provide the same mass for all porosity dispersion patterns. The governing equations and boundary conditions are derived via Hamilton’s principle and are solved through a semi-analytical solution to attain the natural frequencies and the loss factors for various boundary conditions. First, appropriate triangular functions are utilized to provide an exact solution in the circumferential direction. Then, a numerical solution is presented in the meridional direction utilizing the differential quadrature method (DQM). The influences of various factors on the natural frequencies and loss factors are investigated including intensity of the applied magnetic field, mass fraction of the CNTs subjoined to the core, thickness of the CNT-reinforced MRE core, thickness of the FG porous face layers, porosity parameter and dispersion pattern of the pores in the FG porous face layers, and the boundary conditions. Numerical results show that although subjoining CNTs to the MRE core and applying magnetic field have weak effects on the natural frequencies of the shell, increases in the mass fraction of the CNTs and intensity of the applied magnetic field result in remarkable increases in the loss factors, and provide stronger vibration suppression.

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Supersonic flutter behavior of a polymeric truncated conical shell reinforced with agglomerated CNTs

Cited by 16 publications

References 41 publications

Effects of non-uniformity in thickness and volume fraction of agglomerated CNTs on the dynamics of a spinning CNT-reinforced nanocomposite truncated conical shell

Effects of non-uniformity in thickness and volume fraction of agglomerated CNTs on the dynamics of a spinning CNT-reinforced nanocomposite truncated conical shell

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

Free vibration analysis of a sandwich conical shell with a magnetorheological elastomer core, enriched with carbone nanotubes and functionally graded porous face layers

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