具有延迟速度反馈的自激振荡

IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY

Papers in Physics Pub Date : 2017-03-30 DOI:10.4279/PIP.090003

D. Zanette

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引用次数: 7

摘要

我们研究了一个非线性机械振荡器的模型，该模型与微和纳米机械计时装置的动力学有关，其中周期性运动由与振荡速度成比例的反馈力维持。具体而言，我们将注意力集中在反馈回路中时间延迟的影响上，假设反馈回路起源于产生并注入自我维持力的电路。通过适当的近似，解析地获得了运动方程的平稳振荡解，其稳定性由非线性的关键作用来保证。我们证明了在振荡周期量级内的延迟可以抑制自激振荡。数值解用于验证分析近似。接收日期：2017年2月6日，接收日期：2018年3月8日；编辑：A.Marti；审核人：C.Masoller，西班牙巴塞罗那加泰罗尼亚理工大学；DOI：http://dx.doi.org/10.4279/PIP.090003引用自：D.H.Zanette，《物理学论文》9，090003（2017）这篇论文由D.H.Zaette撰写，根据知识共享归因许可证3.0获得许可。

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Self-sustained oscillations with delayed velocity feedback

We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanomechanical time-keeping devices, where periodic motion is sustained by a feedback force proportional to the oscillation velocity. Specifically, we focus our attention on the effect of a time delay in the feedback loop, assumed to originate in the electric circuit that creates and injects the self-sustaining force. Stationary oscillating solutions to the equation of motion, whose stability is insured by the crucial role of nonlinearity, are analytically obtained through suitable approximations. We show that a delay within the order of the oscillation period can suppress self-sustained oscillations. Numerical solutions are used to validate the analytical approximations. Received: 6 February 2017, Accepted: 8 March 2017; Edited by: A. Marti; Reviewed by: C. Masoller, Universitat Politecnica de Catalunya, Barcelona, Spain; DOI: http://dx.doi.org/10.4279/PIP.090003 Cite as: D. H. Zanette, Papers in Physics 9, 090003 (2017) This paper, by D. H. Zanette , is licensed under the Creative Commons Attribution License 3.0 .

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来源期刊

Papers in Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.90

自引率

0.00%

发文量

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