Numerical study on nonlinear vibration of FG-GNPRC circular membrane with dielectric properties

Ni, Zhi; Zhu, Fan; Fan, Yucheng; Yang, Jinlong; Hang, Ziyan; Feng, Chuang; Yang, Jie

doi:10.1080/15376494.2023.2184005

Cited by 8 publications

(3 citation statements)

References 49 publications

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“…Many scholars studied the dynamic response of FG graphene nanoplates-reinforced composite structures with dielectric property for damped resonance [53][54][55][56]. Enlightened by this and considering the effect of energy dissipation, the TED analysis of the FG microplate resonators reinforced with GPLs was studied.…”

Section: Validationmentioning

confidence: 99%

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Peng,

Zenkour,

Gao

et al. 2024

Z Angew Math Mech

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Graphene nanoplatelets (GPLs) are considered to be a desirable reinforcing nanofillers for nanocomposite materials owing to their superior thermo‐mechanical properties. Meanwhile, thermoelastic damping (TED), as a dominant intrinsic dissipation mechanisms, is a major challenge in optimizing high‐performance micro/nano‐resonators. Nevertheless, the classical TED models fail at the micro/nano‐scale due to without considering the influences of the size‐dependent effect and the thermal lagging effect. The present work focuses on investigating TED analysis of functionally graded (FG) microplate resonators reinforced with GPLs based on the modified coupled stress theory (MCST) and the Moore–Gibson–Thompson (MGT) heat conduction model. Four patterns of GPLs distribution including the UD, FG‐O, FG‐X and FG‐A pattern distributions are taken into account and the effective mechanical properties of the plate‐type nanocomposite are evaluated based on the Halpin–Tsai model. The energy equation and the transverse motion equation in the Kirchhoff microplate model are formulated, and then, the closed‐from analytical solution of TED is solved by complex frequency method. The influences of the various parameters involving the material length‐scale parameter, the thermal phase lag of the heat flux and the total weight fraction of GPLs on the TED are discussed in detail. The obtained results show that the effects of the modified parameter on the TED are pronounced. This results provide a more reasonable theoretical approach to estimate TED in the design of FG microplate resonators reinforced with GPLs with high performance.

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Section: Validationmentioning

confidence: 99%

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Peng,

Zenkour,

Gao

et al. 2024

Z Angew Math Mech

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“…Considering the internal pores, GNPRC transforms from a two-phase material into a multi-phase composite, which makes it difficult to apply traditional micromechanical models to determine its material properties. To address this challenge, a two-step hybrid micromechanical model is developed in this study, and the accuracy of its prediction of mechanical and electrical properties of multiphase composite has been verified [28]. The approach involves treating both GNP and the pores as reinforcing fillers in two separate steps.…”

Section: 1．hybrid Micromechanical Modelmentioning

confidence: 99%

Nonlinear Dynamics of FG-GNPRC Multiphase Composite Membrane with Internal Pores and Dielectric Properties

Fan

Yang

et al. 2023

Preprint

Self Cite

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In this paper, the nonlinear dynamics of the functionally graded graphene nanoplatelet reinforced composite (FG-GNPRC) dielectric and porous membrane subjected to electro-mechanical loading is investigated. The effective material properties of multiphase composites are determined via a two-step hybrid micromechanical model. Based on the hyperelastic membrane theory, Neo-Hookean constitutive model and the couple dielectric theory, the governing equations are obtained using an energy method considering damping and dielectric properties. Taylor series expansion (TSE) and differential quadrature (DQ) methods are utilized to discretize equations, which are then solved numerically by the incremental harmonic balance (IHB) method combined with arc-length continuation technique. The convergence analysis is carried out and the accuracy of the solution method is verified by comparing with the results of previous studies. The influence of the attributes of the internal pore, GNP, the geometric characteristics of membrane, stretching ratio and the applied electric filed on forced vibration and resonance response of the system are analyzed.

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“…Ni et al. (2023a, b) studied the damped vibration of graphene nanoplatelets-reinforced composite (GNPRC) dielectric membrane.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and numerical analysis of free vibrations of piezoelectric circular plate reinforced with boron nitride

Moradi,

Ranjbar-Roeintan

2023

IJSI

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PurposeThe purpose of this research is to extract the natural frequencies of a circular plate containing a central hole reinforced with boron nitride nanotubes (BNNTs) and containing piezoelectric layers.Design/methodology/approachA unit cell shall be taken into account for the simulation of BNNT's volume fraction. A rectangular micromechanical model is used to obtain the mechanical properties of unit cell of piezoelectric fiber-reinforced composite (PFRC). The three-dimensional (3D) elasticity method is presented to provide the relationship between displacements and stresses. The one-dimensional differential quadrature method (1D-DQM) and the state-space methodology are combined to create the semi-analytical technique. The state-space approach is utilized to implement an analytical resolution in the thickness direction, and 1D-DQM is used to implement an approximation solution in the radial direction. The composite consists of a polyvinylidene fluoride (PVDF) matrix and BNNTs as reinforcement.FindingsA study on the PFRC is carried, likewise, the coefficients of its properties are obtained using a micro-electromechanical model known as the rectangular model. To implement the DQM, the plate was radially divided into sample points, each with eight state variables. The boundary situation and DQM are used to discretize the state-space equations, and the top and bottom application surface conditions are used to determine the natural frequencies of the plate. The model's convergence is assessed. Additionally, the dimensionless frequency is compared to earlier works and ABAQUS simulation in order to validate the model. Finally, the effects of the thickness, lateral wavenumber, boundary conditions and BNNT volume fraction on the annular plate's free vibration are investigated. The important achievements are that increasing the volume fraction of BNNTs increases the natural frequency.Originality/valueThe micromechanical “XY rectangle” model in PFRC along with the three-dimensional elasticity model is used in this literature to assess how the piezoelectric capabilities of BNNTs affect the free vibration of polymer-based composite annular plates under various boundary conditions.

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Numerical study on nonlinear vibration of FG-GNPRC circular membrane with dielectric properties

Cited by 8 publications

References 49 publications

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Nonlinear Dynamics of FG-GNPRC Multiphase Composite Membrane with Internal Pores and Dielectric Properties

Theoretical and numerical analysis of free vibrations of piezoelectric circular plate reinforced with boron nitride

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