DynSyst_Special_Topics: Collaborative Research: Fundamental and Applied Dynamics of Granular Crystals: Disorder, Localization and Energy Harvesting

DynSyst_Special_Topics:合作研究:颗粒晶体的基础和应用动力学:无序、局域化和能量收集

基本信息

  • 批准号:
    0969541
  • 负责人:
  • 金额:
    $ 18.73万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2010
  • 资助国家:
    美国
  • 起止时间:
    2010-08-15 至 2013-07-31
  • 项目状态:
    已结题

项目摘要

The research objective of the present proposal is to study nonlinear waveforms that may arise in granular crystals, including traveling waves, defect modes, and discrete breathers. It also intends to provide a roadmap for identifying when these different structures will arise, systematically building up in complexity, from monomer lattices, to dimmer, trimmer and heterogeneous ones, and from one- to multiple-defect chains and even random lattices. Granular crystals consist of chains of interacting particles that deform elastically when they collide. Their properties (material types, sizes, shapes) are extremely tunable and their dynamic response may be modified to be weakly or strongly nonlinear. The project will involve a fruitful cross-pollination of tools and methods from dynamical systems, nonlinear ordinary and partial differential equations, asymptotic analysis and numerical computation on the theoretical side. These will be interwoven with physical experiments that will attempt to excite and identify the relevant nonlinear waves and to investigate their properties (amplitude, width, energy, lifetime, interactions, higher-dimensional analogs etc.). A continuous feedback loop between mathematical theory, numerical simulation and physical experimentation will be the driving force of the study.It is anticipated that this project will have a significant societal impact due to the potential discovery of mechanical systems that may affect aspects of everyday life. In particular, localized modes will be studied for potential use in energy harvesting systems, delay lines and shock protective or vibration absorption materials. Additionally, the relevant effort will involve student researchers with a vigorous educational component including both formal (associated with coursework and research conferences) and informal (inter-group exchanges and visits) educational opportunities. It will bring together students from fundamentally different backgrounds (mathematics and aeronautical/aerospace engineering) providing them with a rich interdisciplinary experience that will offer an excellent framework for learning and scientific exchange/collaboration. The program will also foster collaborations between the two institutions, but also with other Universities (Oxford University in the UK, Princeton University and the University of Athens). We expect that several conference presentations, journal articles and patent applications will emerge from this study.
本计画的研究目标是研究粒状晶体中可能出现的非线性波形,包括行波、缺陷模和离散呼吸子。它还打算提供一个路线图,以确定这些不同的结构何时会出现,系统地建立在复杂性,从单体晶格,以调光器,微调和异构的,从一个到多个缺陷链,甚至随机晶格。粒状晶体由相互作用的粒子链组成,当它们碰撞时会发生弹性变形。它们的性质(材料类型,尺寸,形状)是非常可调的,它们的动态响应可以被修改为弱或强非线性。该项目将涉及从动力系统,非线性常微分方程和偏微分方程,渐近分析和理论方面的数值计算的工具和方法的富有成效的交叉授粉。这些将与物理实验交织在一起,这些实验将试图激发和识别相关的非线性波,并研究它们的特性(振幅,宽度,能量,寿命,相互作用,高维类似物等)。数学理论、数值模拟和物理实验之间的持续反馈回路将成为研究的驱动力。预计该项目将产生重大的社会影响,因为可能发现可能影响日常生活的机械系统。特别是,本地化模式将被研究在能量收集系统,延迟线和冲击保护或振动吸收材料的潜在用途。此外,相关的努力将涉及学生研究人员与积极的教育组成部分,包括正式(与课程和研究会议相关)和非正式(组间交流和访问)的教育机会。它将汇集来自不同背景(数学和航空/航天工程)的学生,为他们提供丰富的跨学科经验,为学习和科学交流/合作提供良好的框架。该计划还将促进两个机构之间的合作,以及与其他大学(英国牛津大学,普林斯顿大学和雅典大学)的合作。我们预计,一些会议报告,期刊文章和专利申请将出现从这项研究。

项目成果

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Chiara Daraio其他文献

Nonreciprocity in acoustic and elastic materials
声学和弹性材料中的非互易性
  • DOI:
    10.1038/s41578-020-0206-0
  • 发表时间:
    2020-07-06
  • 期刊:
  • 影响因子:
    86.200
  • 作者:
    Hussein Nassar;Behrooz Yousefzadeh;Romain Fleury;Massimo Ruzzene;Andrea Alù;Chiara Daraio;Andrew N. Norris;Guoliang Huang;Michael R. Haberman
  • 通讯作者:
    Michael R. Haberman
Control of microstructural heterogeneities in carbon nanotube foams
  • DOI:
    10.1016/j.carbon.2012.09.020
  • 发表时间:
    2013-02-01
  • 期刊:
  • 影响因子:
  • 作者:
    Jordan R. Raney;Richard Y. Wang;Chiara Daraio
  • 通讯作者:
    Chiara Daraio
Planar structured materials with extreme elastic anisotropy
具有极端弹性各向异性的平面结构材料
  • DOI:
    10.1016/j.matdes.2024.113348
  • 发表时间:
    2024-10-01
  • 期刊:
  • 影响因子:
    7.900
  • 作者:
    Jagannadh Boddapati;Chiara Daraio
  • 通讯作者:
    Chiara Daraio
Graph-based design of irregular metamaterials
基于图的不规则超材料设计
  • DOI:
    10.1016/j.ijmecsci.2025.110203
  • 发表时间:
    2025-06-01
  • 期刊:
  • 影响因子:
    9.400
  • 作者:
    Rayehe Karimi Mahabadi;Zhi Chen;Alexander C. Ogren;Han Zhang;Chiara Daraio;Cynthia Rudin;L. Catherine Brinson
  • 通讯作者:
    L. Catherine Brinson
An Experimental Technique for the Dynamic Characterization of Soft Complex Materials
软复合材料动态表征的实验技术
  • DOI:
    10.1007/s11340-014-9896-9
  • 发表时间:
    2014
  • 期刊:
  • 影响因子:
    2.4
  • 作者:
    R. Thevamaran;R. Thevamaran;Chiara Daraio;Chiara Daraio
  • 通讯作者:
    Chiara Daraio

Chiara Daraio的其他文献

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{{ truncateString('Chiara Daraio', 18)}}的其他基金

I-Corps: Sustainable biocomposite materials for use in consumer and industrial applications
I-Corps:用于消费和工业应用的可持续生物复合材料
  • 批准号:
    2330702
  • 财政年份:
    2023
  • 资助金额:
    $ 18.73万
  • 项目类别:
    Standard Grant
IUCRC Phase I Caltech: Center to Stream Healthcare In Place (C2SHIP)
IUCRC 第一阶段加州理工学院:医疗保健就地流中心 (C2SHIP)
  • 批准号:
    2052827
  • 财政年份:
    2021
  • 资助金额:
    $ 18.73万
  • 项目类别:
    Continuing Grant
Collaborative Research: Framework: Data: HDR: Nanocomposites to Metamaterials: A Knowledge Graph Framework
合作研究:框架:数据:HDR:纳米复合材料到超材料:知识图框架
  • 批准号:
    1835735
  • 财政年份:
    2018
  • 资助金额:
    $ 18.73万
  • 项目类别:
    Standard Grant
Collaborative Research: Highly Nonlinear Transducer Arrays for Structural Health Monitoring
合作研究:用于结构健康监测的高度非线性传感器阵列
  • 批准号:
    1200319
  • 财政年份:
    2012
  • 资助金额:
    $ 18.73万
  • 项目类别:
    Standard Grant
CAREER: Experimental Investigation of Highly Nonlinear Granular Crystals for the Development of New Mechanical Systems and Acoustic Metamaterials
职业:高度非线性颗粒晶体的实验研究,用于开发新的机械系统和声学超材料
  • 批准号:
    0844540
  • 财政年份:
    2009
  • 资助金额:
    $ 18.73万
  • 项目类别:
    Standard Grant
Collaborative Research: Novel NDE/SHM Approach Based on Highly Nonlinear Dynamics
合作研究:基于高度非线性动力学的新型 NDE/SHM 方法
  • 批准号:
    0825345
  • 财政年份:
    2008
  • 资助金额:
    $ 18.73万
  • 项目类别:
    Standard Grant

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