Collaborative Research: Tailoring Energy Flow in Magnetic Oscillator Arrays

这个项目寻求发展一个综合的研究和教育合作，以检查大阵列耦合非线性振荡器的基本行为。通过一系列理论和实验相结合的研究，我们将研究耦合中的变化(通过磁相互作用)如何定制带隙、分叉、能量局域化和一种称为被动重新配置带隙的新现象。研究研究从理论到微观/宏观实验演示，重点是调整磁相互作用以创造所需的现象。原理研究人员认为，被动重新配置带隙，其中可以使用响应阈值来完全重新配置带隙结构，为避免灾难性故障提供了一种全新的能力。研究调查的基本性质有望改善工程实践，具体例子是如何利用非线性来实现振荡器阵列中所需的能量流行为。避免机械或声学过载导致的灾难性故障是这项研究的一个具体应用领域。教育和外展工作将利用PI成功参与现有项目、杜克大学的普拉特研究员项目和NSF资助的东南研究生教育联盟和佛罗里达大学的教授(SEAGEP)项目，以吸引代表性不足的学生参与工程研究并攻读更高的学位。计划进行暑期研究生交流，以拓宽每个参与者的视野，并加强项目的协作和影响。

This project seeks to develop an integrated research and educational collaboration to examine the fundamental behavior of large arrays of coupled nonlinear oscillators. Through a combined series of theoretical and experimental investigations, we will investigate how alterations in the coupling (via magnetic interactions) can tailor bandgaps, bifurcations, the localization of energy, and a new phenomena called a passively reconfiguring bandgap. Research studies build from theory to micro/macro experimental demonstrations with a focus on tuning the magnetic interactions to create desired phenomena. The Principle Investigators believe the passively reconfiguring bandgaps, where a response threshold could be used to completely reconfigure the bandgap structure, offers a fundamentally new capability for avoiding catastrophic failures. The fundamental nature of the research investigations is expected to improve engineering practice with specific examples of how to exploit nonlinearity to achieve desirable energy flow behaviors in oscillator arrays. The avoidance of catastrophic failures from mechanical or acoustic overloads is a specific application area for this research. Educational and outreach efforts will leverage the PIs successful involvement in existing programs, the Pratt Fellows program at Duke University and the NSF funded Southeast Alliance for Graduate Education and the Professoriate (SEAGEP) program at the University of Florida, to attract underrepresented students to participate in engineering research and pursue advanced degrees. Summertime graduate student exchanges are planned to broaden the perspectives of everyone involved and enhance the project collaboration and impact.