Nonlinear Dynamics: Application to Engineering Design

[9315761]穆恩：这19万美元的奖金用于课程开发，在本科工程教育中增加非线性动力学和非线性控制的新方法。目前本科工程课程中教授的分析工具主要集中在线性动力学和控制方面。然而，仅仅基于线性模型的机械和机电设计不能很好地分析许多本质上是非线性的重要物理效应。本提案将开发教学、软件和实验模块，介绍非线性分析的方法，具体应用包括柔性机械臂的设计、非线性材料的结构设计、智能机器的非线性控制，以及利用混沌理论避免机器噪声。

9315761 Moon This award of $190,000 is for curriculum development in adding new approaches in nonlinear dynamics and nonlinear controls into undergraduate engineering education. Current analysis tools taught in undergraduate engineering curriculum center upon linear dynamics and control. However, mechanical and electromechanical design based solely on linear models fail to analyze properly many important physical effects that are inherently non-linear. This proposal will develop teaching, software and experimental modules to introduce methods in nonlinear analysis, with specific applications that include design of a flexible robot arm, structural design with nonlinear materials, nonlinear control of smart machines, and the use of chaos theory to avoid machine noise.