Noise Influenced Energy Localization in Oscillator Arrays

带旋转叶片的机械用于飞机发动机、发电透平机械以及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叶片等各个部件对不同条件的反应。除了对系统性能和可靠性有害之外，不受欢迎的叶片动力学可能会对发动机或机械造成灾难性的损坏。一种不受欢迎的响应是，可能导致灾难性故障的运动集中在系统的特定组件上，如涡轮机的叶片。用来量化这个响应浓度的一个量度是系统的能量。能量集中或局部化程度越高，不良运动的速率和/或水平就越高。虽然高水平的能量集中可能不利于系统的健康或性能，但适当的集中或本地化水平可能对应用有利，例如测量系统响应。这项研究将创新方法和工具，以利用这种受控的系统响应局部化，以利于测量和系统的健康监测。这项研究的成功将促进能源收集、旋转系统和反射器阵列领域的科学进步。这项工作将迎来新一代研究人员，他们接受过培训，能够使用适合研究噪声使能动力学的工具。在前人对非线性振荡器受噪声影响的响应研究的基础上，研究小组将追求主要目标，即了解各种耦合非线性振荡器中能量局部化的物理基础，并研究如何在噪声影响下创建、移动或抑制这种能量局部化。将继续进行基础研究，以开发和扩展知识库，以使用组合的确定性和噪声输入来实现非线性系统中所需的能量形成。项目团队将用不同的振荡器阵列进行原创性实验，以探索控制能量局部化的可能性。根据实验结果，将开始进行分析和数值研究，以揭示非线性现象的潜在机制，并检查某些机械系统中循环对称性的影响。这些发现有望为综合使用噪声和确定性输入来控制具有和不具有循环对称的系统中的非线性现象打开大门。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.