Chaotic vibrations of carbon nanotubes subjected to a traversing force considering nonlocal elasticity theory

IF 4.2 Q2 NANOSCIENCE & NANOTECHNOLOGY

Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems Pub Date : 2021-12-08 DOI:10.1177/23977914211063309

R. Ebrahimi

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引用次数: 1

Abstract

The existence of chaos in the lateral vibration of the carbon nanotube (CNT) can contribute to source of instability and inaccuracy within the nano mechanical systems. So, chaotic vibrations of a simply supported CNT which is subjected to a traversing harmonic force are studied in this paper. The model of the system is formulated by using nonlocal Euler–Bernoulli beam theory. The equation of motion is solved using the Rung–Kutta method. The effects of the nonlocal parameter, velocity and amplitude of the traversing harmonic force on the nonlinear dynamic response of the system are analyzed by the bifurcation diagrams, phase plane portrait, power spectra analysis, Poincaré map and the maximum Lyapunov exponent. The results indicate that the nonlocal parameter, velocity and amplitude of the traversing harmonic force have considerable effects on the bifurcation behavior and can be used as effective control parameters for avoiding chaos.

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考虑非局部弹性理论的碳纳米管在横移力作用下的混沌振动

碳纳米管(CNT)横向振动中混沌的存在是造成纳米机械系统不稳定和不精确的原因之一。因此，本文研究了简支碳纳米管在简谐力作用下的混沌振动。采用非局部欧拉-伯努利梁理论建立了系统的模型。运动方程用龙库塔法求解。通过分岔图、相平面肖像、功率谱分析、庞加莱图和最大李雅普诺夫指数分析了非局部参数、遍历谐波力的速度和幅值对系统非线性动态响应的影响。结果表明，非局部参数、遍历谐力的速度和幅值对分岔行为有较大影响，可以作为有效的控制参数来避免混沌。

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

Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems NANOSCIENCE & NANOTECHNOLOGY-

CiteScore

6.00

自引率

1.70%

发文量

期刊介绍： Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems is a peer-reviewed scientific journal published since 2004 by SAGE Publications on behalf of the Institution of Mechanical Engineers. The journal focuses on research in the field of nanoengineering, nanoscience and nanotechnology and aims to publish high quality academic papers in this field. In addition, the journal is indexed in several reputable academic databases and abstracting services, including Scopus, Compendex, and CSA's Advanced Polymers Abstracts, Composites Industry Abstracts, and Earthquake Engineering Abstracts.