Collaborative Research: Nonlinear Coupling and Relaxation Mechanisms in Micro-mechanics

合作研究：微观力学中的非线性耦合和弛豫机制

基本信息

批准号：
1661618
负责人：
Mark Dykman
金额：
$ 29.2万
依托单位：
Michigan State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2017
资助国家：
美国
起止时间：
2017-09-01 至 2022-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1661618&HistoricalAwards=false
关键词：
Collaborative Research Nonlinear Coupling Relaxation

项目摘要

Micro-scale electro-mechanical-systems are at the cutting edge of modern technology. They have small size and mass and allow the implementation of various types of control. Many consumer, industrial, and military devices rely on these systems for sensing and signal conditioning. Speed, precision, stability, and reliability are important characteristics of their performance. Vibrations are at the core of the operation of many of these micro-electro-mechanical systems. This project involves a fundamental study of the vibrations of these systems, with the goal to establish what properties limit their performance and how this performance can be improved. The development of physics-based models for these vibrations, using both theoretical and experimental tools, will provide key understanding that will allow for new modes of operation and enhanced capabilities. And, while the experimental aspects of the project will focus on micro-electro-mechanical systems, the vibration and noise models developed will be general and applicable to optical systems and to even smaller mechanical devices that operate at the nanoscale, paving the way for further progress in nanotechnology. The broader impacts of the project include outreach, mentoring and training of undergraduate and graduate students, inclusion of students from underrepresented groups, development of classroom materials motivated by the research, and dissemination of results. The project will result in multidisciplinary training of students at four universities who will benefit from the combined analytical, computational, and experimental research experiences.Because of their small size, micro-electro-mechanical vibrational systems are intrinsically noisy. Another consequence of the small size is that obtaining a sufficiently strong signal requires operating in a regime where the vibration amplitudes are large, making the vibrations nonlinear. The interplay of nonlinearity and noise leads to new phenomena, and these must be understood in order to avoid them, or to utilize them in applications. In this context, nonlinear resonant phenomena are particularly interesting, rich, intellectually challenging, and promising for implementation in micro-scale devices. The behavior of resonating nonlinear modes in the presence of decay and noise, as well as the fundamental microscopic mechanisms of noise, decay, and nonlinearity are poorly understood. Nor is it understood how to detect and characterize fluctuations in nonlinear systems, as they are intervened with the nonlinearity in a nontrivial way. The work will address these issues both theoretically and in experiments. It will also develop new techniques for experimental control and characterization of resonating modes using optical and electrostatic methods. The principal investigators have an established record of collaboration, which will strengthen a close connection between the theoretical and experimental work.

微型电力系统是现代技术的最前沿。它们的尺寸和质量很小，可以实施各种类型的控制。许多消费者，工业和军事设备都依靠这些系统来传感和信号调理。速度，精度，稳定性和可靠性是其性能的重要特征。振动是许多这些微型机械系统运行的核心。该项目涉及对这些系统振动的基本研究，目的是确定哪些属性限制其性能以及如何提高该性能。使用理论和实验工具的基于物理模型的基于物理模型的开发将提供关键的理解，从而允许新的操作模式和增强功能。而且，虽然项目的实验方面将集中于微电机械系统，但开发的振动和噪声模型将始终适用于光学系统，甚至适用于在纳米级运行的较小的机械设备，为进一步的方式铺平了道路纳米技术的进展。该项目的更广泛影响包括对本科生和研究生的外展，指导和培训，包括代表性不足的群体的学生，开发研究动机的课堂材料以及成果的传播。该项目将导致四所大学的学生进行多学科培训，这些大学将受益于分析，计算和实验研究经验。由于其小规模，微电动机械振动系统本质上是嘈杂的。小尺寸的另一个结果是，获得足够强的信号需要在振动幅度较大的状态下运行，从而使振动非线性。非线性和噪声的相互作用会导致新现象，必须理解这些现象，以避免它们或在应用中利用它们。在这种情况下，非线性共振现象特别有趣，丰富，具有挑战性，并且有望在微观设备中实施。在存在衰减和噪声的情况下以及噪声，衰减和非线性的基本显微镜机制的基本微观机制中，谐音非线性模式的行为知之甚少。它也不理解如何检测和表征非线性系统中的波动，因为它们以非平凡的方式干预了非线性。这项工作将在理论上和实验中解决这些问题。它还将开发新技术，用于使用光学和静电方法来对谐振模式进行实验控制和表征。主要研究人员拥有既定的协作记录，这将加强理论和实验工作之间的密切联系。

项目成果

期刊论文数量（6）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Noise-induced switching from a symmetry-protected shallow metastable state

DOI：
10.1038/s41598-020-66243-y
发表时间：
2020-03
期刊：
Scientific Reports
影响因子：
4.6
作者：
Y. Tadokoro;Hiroya Tanaka;M. Dykman
通讯作者：
Y. Tadokoro;Hiroya Tanaka;M. Dykman

Strong negative nonlinear friction from induced two-phonon processes in vibrational systems

DOI：
10.1038/s41467-018-05246-w
发表时间：
2018-08-13
期刊：
NATURE COMMUNICATIONS
影响因子：
16.6
作者：
Dong, X.;Dykman, M. I.;Chan, H. B.
通讯作者：
Chan, H. B.

Frequency Comb from a Single Driven Nonlinear Nanomechanical Mode

单驱动非线性纳米机械模式的频率梳

DOI：
10.1103/physrevx.12.041019
发表时间：
2022
期刊：
Physical Review X
影响因子：
12.5
作者：
Ochs, J. S.;Boneß, D. K. J.;Rastelli, G.;Seitner, M.;Belzig, W.;Dykman, M. I.;Weig, E. M.
通讯作者：
Weig, E. M.

Suppressing Frequency Fluctuations of Self-Sustained Vibrations in Underdamped Nonlinear Resonators

抑制欠阻尼非线性谐振器中自持振动的频率波动