CAREER: Nonlinear, Dissipative Mechanics of Phononic Materials: An Integrated Research and Education Plan

职业：声子材料的非线性、耗散力学：综合研究和教育计划

• 批准号: 1254931
• 负责人: Mahmoud Hussein
• 金额: $ 40万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1254931&HistoricalAwards=false
• 关键词: CAREER; Nonlinear; Dissipative; Mechanics; Phononic

The research objective of this Faculty Early Career Development (CAREER) award is to establish exact and approximate analytical continuum formulations for the treatment of the effects of (1) viscous and nonviscous damping and (2) geometric and material nonlinearities on the free dispersive wave motion characteristics of phononic materials, and to do so in the complete space of complex frequencies and wavevectors. These tools will then be applied to the analysis of reduced-dimension, low-weight/high-stiffness lattice structures as well as plate-like and bulk phononic crystal and metamaterial configurations. On a parallel track, a series of experiments ranging in complexity from simple vibration testing to laser ultrasonic probing will be conducted in order to provide reference data for validation of the developed theoretical formulations. This research will deliver a generalized theoretical treatment of wave motion in periodic materials incorporating the effects of nonlinearity and dissipation, and will provide a thorough and verified understanding of the underlying physical mechanisms. The research will promote the reach of mechanics to an area that traditionally falls within the realm of condensed matter physics by providing needed formulations and analytical tools to investigate the application of phononics in many areas of technology, for example, acoustic/vibration control, blast protection, radio frequency sensing, acoustic imaging, digital signal processing, energy conversion, among others. The complimentary education component proposes a philosophy described as "Vertical Integration of Students In Order to Nurture Scholarship in Phononics (VISIONS in Phononics)". In this program, students at the undergraduate level will help develop education tools related to vibrations, wave propagation and phononics that will enable educational activities at the graduate level, and vice versa. Furthermore, the research activities will feed into the development of the modules, and the modules in turn will help advanced students gain better appreciation of the physical phenomena they are researching especially concerning the effects of nonlinearities and dissipation.

该学院早期职业发展（CAREER）奖的研究目标是建立精确和近似的分析连续体公式，用于处理（1）粘性和非粘性阻尼以及（2）几何和材料非线性对声子材料的自由色散波运动特性的影响，并在复杂频率和波矢量的完整空间中进行。然后，这些工具将应用于分析降维、低重量/高刚度晶格结构以及板状和块状声子晶体和超材料配置。在平行轨道上，将进行一系列复杂的实验，从简单的振动测试到激光超声探测，以便为验证所开发的理论公式提供参考数据。 这项研究将对周期性材料中的波动运动进行广义的理论处理，结合非线性和耗散的影响，并将提供对潜在物理机制的全面且经过验证的理解。该研究将通过提供所需的公式和分析工具来研究声学在许多技术领域的应用，例如声学/振动控制、爆炸防护、射频传感、声学成像、数字信号处理、能量转换等，从而将力学扩展到传统上属于凝聚态物理领域的领域。免费教育部分提出了一种理念，称为“学生的垂直整合，以培养语音学奖学金（语音学的愿景）”。在该项目中，本科生将帮助开发与振动、波传播和声学相关的教育工具，以便在研究生阶段开展教育活动，反之亦然。此外，研究活动将融入模块的开发，而模块反过来将帮助高级学生更好地理解他们正在研究的物理现象，特别是关于非线性和耗散的影响。