Damped vibration analysis of graphene nanoplatelet reinforced dielectric membrane using Taylor series expansion and differential quadrature methods

Ni, Zhi; Fan, Yucheng; Hang, Ziyan; Zhu, Fan; Wang, Yu; Feng, Chun-Bo; Yang, Jie

doi:10.1016/j.tws.2022.110493

Cited by 27 publications

(3 citation statements)

References 48 publications

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“…The current study employs the DQ method to discretize the dimensionless governing equations, and the displacements and their derivatives of the membrane are defined as [47] …”

Section: Solutionmentioning

confidence: 99%

Nonlinear dynamics of FG-GNPRC multiphase composite membranes with internal pores and dielectric properties

Fan

Yang

et al. 2023

Nonlinear Dyn

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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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“…The current study employs the DQ method to discretize the dimensionless governing equations, and the displacements and their derivatives of the membrane are defined as [47] …”

Section: Solutionmentioning

confidence: 99%

Nonlinear dynamics of FG-GNPRC multiphase composite membranes with internal pores and dielectric properties

Fan

Yang

et al. 2023

Nonlinear Dyn

Self Cite

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“…Among them, differential evolution algorithm is a powerful optimization algorithm, which has the characteristics of simple structure, high optimization efficiency, low code density and good convergence, etc., and has been widely used [17][18][19][20]. However, in the process of solving the algorithm, with the increase of evolutionary algebra, the diversity of the population will become smaller, premature convergence to the local minimum point, resulting in stagnation of the algorithm, and the performance of the algorithm deteriorates in the process of evolution.…”

Section: Introductionmentioning

confidence: 99%

Optimal Differential Control for Accurate Positioning of Medical Electronic Wristband

2024

Teh. vjesn.

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In this paper, an improved differential evolution algorithm is proposed to improve the positioning accuracy of electronic wristband system. The wristband system is composed of STM32F103 microcontroller, Beidou positioning module, LORA communication module and so on. In the traditional differential evolution algorithm, premature convergence to local optimal will reduce the accuracy of the algorithm. To solve this problem, the method introduces the distance information between known and unknown points and between all unknown points in the fitness function and overall initialization. This reduces the premature convergence of the algorithm and improves the optimization ability of the algorithm. Experimental results using the CICDDoS2019 dataset show that the localization accuracy of the proposed algorithm is improved by 7.6% compared with traditional differential evolution. The method also has good stability. This provides an effective way to improve the positioning accuracy of the wristband, which can be used for applications such as patient monitoring.

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“…Ni et al. (2023a, b) studied the damped vibration of graphene nanoplatelets-reinforced composite (GNPRC) dielectric membrane. It is worth mentioning that, in these studies, hyperelastic membrane theory and neo-Hookean constitutive model were used to model the membrane, while in the present analysis of our work, the three-dimensional elasticity theory was used to model the circular plate.…”

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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Damped vibration analysis of graphene nanoplatelet reinforced dielectric membrane using Taylor series expansion and differential quadrature methods

Cited by 27 publications

References 48 publications

Nonlinear dynamics of FG-GNPRC multiphase composite membranes with internal pores and dielectric properties

Nonlinear dynamics of FG-GNPRC multiphase composite membranes with internal pores and dielectric properties

Optimal Differential Control for Accurate Positioning of Medical Electronic Wristband

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

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