Comparison of Frequency Response of Parametric Resonance of DWCNT and SWCNT Under Electrostatic Actuation

IF 1 Q4 AUTOMATION & CONTROL SYSTEMS Mechatronic Systems and Control Pub Date : 2019-11-26 DOI:10.1115/dscc2019-9171

D. Caruntu, E. Juarez

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Abstract

This paper deals with electrostatically actuated Double-Walled Carbon Nanotubes (DWCNT) and Single-Walled Carbon Nanotubes (SWCNT) cantilever resonators. Frequency response of parametric resonance is investigated. Euler-Bernoulli cantilever beam model is used for both DWCNT and SWCNT. Electrostatic and viscous damping forces are applied on both types of resonators, DWCNT and SWCNT. In this investigation, soft AC voltage excitation is assumed. For the DWCNT, an intertube van der Waals force is present between the two concentric carbon nanotubes (CNTs), coupling their motion and acting as a nonlinear spring. The nonlinearities in the vibration are provided by the electrostatic (both SWCNT and DWCNT) and intertube van der Waals forces (DWCNT). The Method of Multiple Scales (MMS) is a perturbation method that provides uniformly valid approximations for weakly nonlinear systems. A Reduced-Order-Model (ROM) is developed and numerically solved using AUTO-07P (bifurcation and continuation software). Since large tip deflections are investigated in this paper, only coaxial vibration of the DWCNT is considered. Parametric resonance is investigated, as well as the influences of damping and voltage. Lastly, the effect of intertube van der Waals force on the bifurcation and stability of the DWCNT is reported.

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静电驱动下DWCNT和swcnts参数共振频率响应的比较

本文研究了静电驱动双壁碳纳米管(DWCNT)和单壁碳纳米管(SWCNT)悬臂谐振器。研究了参数共振的频率响应。对于小碳纳米管和小碳纳米管，均采用欧拉-伯努利悬臂梁模型。静电和粘性阻尼力分别作用于两种谐振器，小碳纳米管和单壁碳纳米管。在本研究中，假设交流电压软激励。对于DWCNT，两个同心碳纳米管(CNTs)之间存在管间范德华力，耦合它们的运动并作为非线性弹簧。振动的非线性是由静电(swcnts和DWCNT)和管间范德华力(DWCNT)提供的。多尺度法是一种为弱非线性系统提供一致有效近似的摄动方法。建立了一个降阶模型，并利用AUTO-07P(分岔延拓软件)对其进行了数值求解。由于本文研究的是大尖端偏转，因此只考虑了小碳纳米管的同轴振动。研究了参数共振，以及阻尼和电压的影响。最后，研究了管间范德华力对小碳纳米管分岔和稳定性的影响。

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来源期刊

Mechatronic Systems and Control AUTOMATION & CONTROL SYSTEMS-

CiteScore

1.40

自引率

66.70%

发文量

期刊介绍： This international journal publishes both theoretical and application-oriented papers on various aspects of mechatronic systems, modelling, design, conventional and intelligent control, and intelligent systems. Application areas of mechatronics may include robotics, transportation, energy systems, manufacturing, sensors, actuators, and automation. Techniques of artificial intelligence may include soft computing (fuzzy logic, neural networks, genetic algorithms/evolutionary computing, probabilistic methods, etc.). Techniques may cover frequency and time domains, linear and nonlinear systems, and deterministic and stochastic processes. Hybrid techniques of mechatronics that combine conventional and intelligent methods are also included. First published in 1972, this journal originated with an emphasis on conventional control systems and computer-based applications. Subsequently, with rapid advances in the field and in view of the widespread interest and application of soft computing in control systems, this latter aspect was integrated into the journal. Now the area of mechatronics is included as the main focus. A unique feature of the journal is its pioneering role in bridging the gap between conventional systems and intelligent systems, with an equal emphasis on theory and practical applications, including system modelling, design and instrumentation. It appears four times per year.