PECASE: Analysis and Design of Discontinuity-Driven Bifurcations

PECASE：不连续性驱动分岔的分析与设计

• 批准号: 0635469
• 负责人: Harry Dankowicz
• 金额: --
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-10-01 至 2010-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0635469&HistoricalAwards=false
• 关键词: PECASE; Analysis; Design; Discontinuity; Driven

Proposal Title: PECASE: Analysis and Design of Discontinuity-Driven BifurcationsInstitution: Virginia Polytechnic Institute and State UniversityThis award focuses on the analysis and design of nonsmooth dynamical systems, characterized by abrupt and discontinuous changes in the systems' properties, and commonly encountered in mechanical, biological, and electronic models. Of particular significance are the potentially dramatic changes in character and stability of motions of such systems that occur at the onset of weak interactions with the environment, here referred to as discontinuity-driven bifurcations. For example, in the case of human gait, premature, low-velocity ground contact of the swing foot may result in loss of stability of the sustained gait and subsequent fall, particularly in individuals with muscular disorders or the elderly. The objectives of this project are to develop a comprehensive predictive methodology for discontinuity-driven bifurcations of recurrent and transient motions and to formulate design criteria for reducing or eliminating the detrimental effects of unintentional collisions between a mechanical subsystem and its surrounding environment -- in particular, the prevention of fall-related injury due to premature ground contact during gait. The research work will closely integrate with an effort to develop a closed-ended-design course at the junior level emphasizing performance verification tests for mechatronic systems and the evaluation of a system's response in the presence of smooth and discontinuity-driven bifurcations.This project was originally funded as a CAREER award, and was converted to a Presidential Early Career Award for Engineers and Scientists (PECASE) award in September 2004.

提案标题：PECASE：不连续驱动的双分支的分析和设计机构：弗吉尼亚理工学院和州立大学该奖项侧重于非光滑动力系统的分析和设计，其特征是系统性质的突然和不连续变化，通常在机械、生物和电子模型中遇到。特别重要的是，在与环境的弱相互作用开始时，这种系统的运动的性质和稳定性可能发生戏剧性的变化，在这里被称为不连续驱动的分叉。例如，在人类步态的情况下，过早、低速地接触摆动脚可能会导致持续步态失去稳定性并随后摔倒，特别是在患有肌肉疾病的人或老年人中。该项目的目标是开发一种全面的预测方法，用于预测反复和瞬时运动的不连续驱动的分叉，并制定设计标准，以减少或消除机械子系统与其周围环境之间无意碰撞的有害影响--特别是防止步态中过早接触地面造成的跌倒相关伤害。研究工作将与开发初级封闭式设计课程的努力紧密结合起来，重点是机电系统的性能验证测试，以及在存在平滑和不连续驱动的分叉时评估系统的响应。该项目最初是作为职业奖资助的，并于2004年9月转变为总统工程师和科学家早期职业奖(PECASE)奖。