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Noise Influenced Energy Localization in Oscillator Arrays

振荡器阵列中噪声影响的能量定位

基本信息

批准号：
1760366
负责人：
Balakumar Balachandran
金额：
$ 44万
依托单位：
University of Maryland, College Park
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-08-01 至 2023-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1760366&HistoricalAwards=false
关键词：
Noise Influenced Energy Localization Oscillator

项目摘要

Machinery with rotating blades is used in aircraft engines, power generation turbomachinery, and several other commercial and industrial systems. The performance and reliability of these systems depends very much, on how individual components such as the blades respond to different conditions. Apart from being detrimental to system performance and reliability, undesirable blade dynamics may result in catastrophic damage to the engine or the machinery. One type of undesirable response is where a motion that can cause catastrophic failure is concentrated at a specific component of the system, such as blade of a turbine. A measure used for quantifying this response concentration is the energy of the system. Higher the energy concentrated or localized, higher the rate and/or level of undesirable motions. While a high level of concentration of energy can be detrimental to the health or performance of a system, an appropriate level of concentration or localization can be beneficial for applications, such as measurements of system response. This research will innovate methods and tools to take advantage of such controlled localization of system response for the benefit of measurements and health monitoring of systems. The success of this research will promote the progress of science in the areas of energy harvesting, rotary systems, and reflector arrays. This work will usher in a new generation of researchers trained to use tools suited for study of noise-enabled dynamics. Building on prior efforts on noise-influenced responses of nonlinear oscillators, the research team will pursue the principal goal of understanding the physical foundations of energy localization in a variety of coupled nonlinear oscillators and examining ways to create, move, or suppress this energy localization with the influence of noise. Fundamental studies will be pursued to develop and extend the knowledge base for the use of combined deterministic and noise inputs to realize desired energy formations in nonlinear systems. The project team will conduct original experiments with different oscillator arrays to explore the possibilities for control of energy localization. Informed by the experimental findings, analytical and numerical studies will be initiated to uncover mechanisms underlying the nonlinear phenomena and examine the effects of cyclic symmetry in certain mechanical systems. The findings are expected to open the doors to the combined use of noise and deterministic inputs for control of nonlinear phenomena in systems with and without cyclic symmetry.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

带有旋转叶片的机械用于飞机发动机、发电机和其他几个商业和工业系统。这些系统的性能和可靠性在很大程度上取决于各个组件（如叶片）如何响应不同的条件。除了对系统性能和可靠性有害之外，不期望的叶片动态可能会对发动机或机械造成灾难性的损坏。一种类型的不期望的响应是，可能导致灾难性故障的运动集中在系统的特定部件处，例如涡轮机的叶片。用于量化该响应浓度的量度是系统的能量。能量集中或局部化越高，不期望的运动的速率和/或水平越高。虽然高水平的能量集中可能对系统的健康或性能有害，但适当水平的集中或定位可能对诸如系统响应的测量的应用有益。这项研究将创新的方法和工具，以利用这种控制定位系统响应的测量和健康监测系统的好处。该研究的成功将推动能量收集、旋转系统和反射器阵列等领域的科学进步。这项工作将迎来新一代经过培训的研究人员，他们将使用适合研究噪声动力学的工具。基于先前对非线性振荡器噪声影响响应的研究，研究小组将追求的主要目标是理解各种耦合非线性振荡器中能量局部化的物理基础，并研究如何在噪声的影响下创建，移动或抑制这种能量局部化。将进行基础研究，以开发和扩展知识库，以便使用确定性和噪声输入相结合的方法来实现非线性系统中所需的能量形成。该项目团队将使用不同的振荡器阵列进行原始实验，以探索控制能量定位的可能性。根据实验结果，将启动分析和数值研究，以揭示非线性现象背后的机制，并研究某些机械系统中循环对称的影响。该研究结果有望为噪声和确定性输入的组合使用打开大门，用于控制具有和不具有循环对称性的系统中的非线性现象。该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。