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：不连续性驱动分岔的分析和设计机构：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，其特点是系统属性的突然和不连续变化，并且常见于机械、生物和电子模型。特别重要的是，在与环境的弱相互作用开始时，此类系统的运动特性和稳定性可能会发生巨大的变化，这里称为不连续性驱动的分岔。例如，就人类步态而言，摆动脚的过早、低速地面接触可能会导致持续步态失去稳定性并随后跌倒，特别是对于患有肌肉疾病的个体或老年人而言。该项目的目标是开发一种全面的预测方法，用于不连续性驱动的循环和瞬态运动的分叉，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，预防由于步态过程中过早接触地面而导致跌倒相关伤害。该研究工作将与开发初级封闭式设计课程紧密结合，强调机电一体化系统的性能验证测试以及在平滑和不连续驱动的分岔情况下系统响应的评估。该项目是该奖项最初是作为职业奖资助的，并于 2004 年 9 月转变为工程师和科学家总统早期职业奖 (PECASE) 奖。