Magneto-elastic vibration of axially moving graphene nanocomposite current-carrying beam with variable speed and axial force

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-07-10 DOI:10.1007/s00707-024-04029-3

Liwen Wang, Jie Wang, Minran Zhang, Liangfei Gong

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Abstract

Lightweight, high-strength, conductive carbon nanocomposites are widely used in axial moving systems, and the primary parametric resonance and primary resonance due to variable axial velocity and tension are quite disturbing when they work in complex electromagnetic environments. In this paper, a theoretical model for predicting Young’s modulus and electrical conductivity of graphene nanocomposites is developed by combining equivalent medium theory, shear-leg theory, and Mori–Tanaka theory. The magnetoelastic vibration equations of axially moving graphene nanocomposite current-carrying beam with variable speed and axial force are then derived and solved analytically and numerically. The amplitude-frequency response equations are derived to describe the parametric resonance of the nanocomposite beam with different graphene volume concentrations. The coupled effect of graphene fillers, electric–magnetic field, and external citation on the system’s primary parametric resonance are deeply investigated. The results showed that the concentration of graphene filler could significantly affect the amplitude response of the system by controlling Young’s modulus and electrical conductivity of the nanocomposite. It can provide a theoretical basis for structure design and vibration control in engineering applications.

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轴向移动石墨烯纳米复合载流梁的磁弹性振动，速度和轴向力可变

轻质、高强、导电的碳纳米复合材料被广泛应用于轴向移动系统中，当其在复杂的电磁环境中工作时，因轴向速度和张力的变化而产生的主参量共振和主共振会带来相当大的干扰。本文结合等效介质理论、剪切腿理论和森田中理论，建立了预测石墨烯纳米复合材料杨氏模量和导电率的理论模型。然后推导出了轴向移动的石墨烯纳米复合材料载流梁的磁弹性振动方程，并对其进行了分析和数值求解。推导出的幅频响应方程描述了不同石墨烯体积浓度下纳米复合梁的参数共振。深入研究了石墨烯填料、电场、磁场和外部引力对系统主参量共振的耦合效应。结果表明，石墨烯填料的浓度可以通过控制纳米复合材料的杨氏模量和导电率来显著影响系统的振幅响应。这为工程应用中的结构设计和振动控制提供了理论依据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.