Numerical investigation on nonlinear vibration of FG-GNPRC dielectric membrane with internal pores

Ni, Zhi; Fan, Yucheng; Hang, Ziyan; Yang, Jinlong; Wang, Yu; Feng, Chuang

doi:10.1016/j.engstruct.2023.115928

Cited by 16 publications

(2 citation statements)

References 46 publications

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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 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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Section: 1．hybrid Micromechanical Modelmentioning

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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“…Hence, nonlinear oscillators have attracted numerous attention due to their significant applications [15][16][17]. The governing differential equation of a nonlinear system can be investigated numerically [18][19][20][21][22][23][24][25] or analytically [26][27][28][29][30]. However, analytical methods are of great interest because they provide closed-form solutions, making it easier to investigate the impact of various parameters on nonlinear frequency.…”

Section: Introductionmentioning

confidence: 99%

Improved harmonic balance method for analyzing asymmetric restoring force functions in nonlinear vibration of mechanical systems

Mohammadian,

Ismail

2024

Phys. Scr.

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The non-linear differential equation governing some mechanical systems, such as the non-linear vibrations of FG beams resting on a nonlinear foundation, behaves similarly to the oscillations of a non-linear oscillator with an asymmetric restoring force function that includes both odd and non-odd non-linear terms. The objective of this research is to obtain higher-order approximate analytical solutions for such problems by introducing an enhanced harmonic balance method. By building upon the original problem, two new symmetric systems with odd non-linear terms are introduced, and their higher-order approximate analytical solutions are derived using a novel approach. In proposed method, the restoring force function is represented by its Fourier series expansion. Unlike previous papers, linearizing the equation or taking the first derivative of the Fourier series in the subsequent iteration is unnecessary. However, to enhance the solution’s accuracy, the remaining error from each iteration is utilized in the next one. Finally, by combining the results from the two introduced systems, the analytical period and corresponding periodic solution of the original problem can be obtained. This method is applied to the governing differential equation of FG beams resting on non-linear foundations, a physical non-natural oscillator, and conservative Toda oscillator. The key advantages of this approach are its simplicity and its ability to provide highly precise solutions for both small and large amplitudes in a single iteration.

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Parametric study on damped nonlinear vibration of FG-GPLRC dielectric beam with edge crack

Ban,

Ni,

Feng

2024

Acta Mech

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Numerical investigation on nonlinear vibration of FG-GNPRC dielectric membrane with internal pores

Cited by 16 publications

References 46 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

Improved harmonic balance method for analyzing asymmetric restoring force functions in nonlinear vibration of mechanical systems

Parametric study on damped nonlinear vibration of FG-GPLRC dielectric beam with edge crack

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