Analyzing and Exploiting Hybrid Dynamical Systems Containing Piecewise Linear Nonlinearities

分析和利用包含分段线性非线性的混合动力系统

基本信息

批准号：
1902408
负责人：
Kiran D'Souza
金额：
$ 41.39万
依托单位：
Ohio State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2019
资助国家：
美国
起止时间：
2019-05-15 至 2024-04-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1902408&HistoricalAwards=false
关键词：
Analyzing Exploiting Hybrid Dynamical Systems

项目摘要

This project will advance national interests by supporting research that will improve the design process of a variety of engineered systems where rubbing and intermittent contact between components significantly affects performance. These systems include damping devices for aircraft engines and turbomachinery, and energy harvesters such as water buoys that provide green energy. Current techniques are not able to predict the response of these complex systems and hence obstruct the development of new technologies. This research will provide new techniques to advance the design process of next-generation damping devices and energy harvesters. The optimal damper design will address serious fatigue problems and reduce required maintenance costs for flight vehicles and turbomachinery. This research will also create a new class of energy harvesting methods that will provide better power generation efficiency. The research will be integrated with an educational component disseminating the work to undergraduates and kindergarten through eighth grade underrepresented groups to help broaden participation in research and positively impact engineering education.Prediction and exploitation of the dynamics of complex systems with dry friction and/or intermittent contact is challenging due to the lack of computational efficiency and limited capability of current methods to analyze the induced piecewise-linear nonlinearities. This research will create a new class of effective techniques to enable the computation of the responses, both transient and steady-state, of large piecewise-linear nonlinear systems in order to analyze, monitor and control their dynamics. This research has three main goals. First, create a method to compute the time-domain response of complex systems with piecewise-linear nonlinearities. The project's approach enables the analysis of any type of response (e.g., periodic, quasi-periodic, and chaotic responses) of these systems. Second, create a method to rapidly approximate the steady-state vibration amplitudes and frequencies of large piecewise-linear nonlinear systems when they respond periodically. Parametric and statistical studies and new vibration control strategies of these systems will be enabled with this method. Third, apply the general methods to two real-world applications: the analysis of turbomachinery containing nonlinear damping and the active gap control for improved vibration performance of energy harvesters.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.

该项目将通过支持研究来提高国家利益，从而改善各种工程系统的设计过程，其中组件之间的摩擦和间歇接触会显着影响性能。这些系统包括用于飞机发动机和涡轮机械的阻尼设备，以及提供绿色能源的水浮标等能量收割机。当前的技术无法预测这些复杂系统的响应，因此阻碍了新技术的发展。这项研究将提供新的技术，以推动下一代阻尼设备和能量收割机的设计过程。最佳的阻尼器设计将解决严重的疲劳问题，并降低飞行器和涡轮机械所需的维护成本。这项研究还将创建一种新的能源收集方法，以提供更好的发电效率。这项研究将与一个教育组成部分集成，将工作传播给本科生和幼儿园到八年级，代表性不足的群体有助于扩大参与研究并积极影响工程教育。预测和剥削复杂系统的动态因干燥和/或间歇性的效率而缺乏限制性的方法，因此对当前的方法进行了挑战，而这些方法是有限的。非线性。这项研究将创建一类新的有效技术，以实现大型分段线性非线性系统的瞬态和稳态响应的计算，以分析，监视和控制其动态。这项研究有三个主要目标。首先，创建一种方法来计算使用分段线性非线性的复杂系统的时间域响应。该项目的方法可以分析这些系统的任何类型的响应（例如，周期性，准周期性和混乱响应）。其次，创建一种方法，以迅速近似大型分段线性非线性系统的稳态振动幅度和频率。使用此方法将启用这些系统的参数和统计研究以及这些系统的新振动控制策略。第三，将一般方法应用于两个现实世界的应用：含有非线性阻尼的涡轮机械分析和主动间隙控制，以改善能量收获者的振动性能。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的智力和更广泛影响的评估来通过评估来获得支持的。