CAREER: Developing Tools of Modern Dynamical Systems for Modeling Dry Friction

这一职业奖强调开发工具，用于包括动态干摩擦在内的机械系统的建模、识别和响应。这类系统的典型例子包括汽车吱吱作响、轨道车轮吱吱作响、金属切割过程和许多其他制造应用。这些现象本质上是非线性的，它们的真实建模对于理解它们的真实动态行为至关重要，主要应用于汽车的吱吱声。该方法使用小波来量化粘滑和噪声事件的频率-时间特性。结合状态空间变量的现代维度理论被用来适应粘滑系统的非光滑性。在速度反转过程中直接测量摩擦力可以建立摩擦力与位移、速度、加速度和时间之间的关系。教育创新包括开发用于校外授课的非线性振荡课程，在课程中融入计算机，在课堂上放映动画，以及在课堂上进行物理演示，以说明复杂的动态现象。

This Career award emphasizes the development of tools for modeling identification, and response of mechanical systems that include dynamical dry friction. Typical examples of such systems include automobile squeak, rail-wheel squeal, metal cutting processes, and many other manufacturing applications. These phenomenon are inherently nonlinear and their realistic modeling is crucial to understanding their true dynamic behavior primarily applied to automotive squeak. The approach involves wavelets to quantify the frequency-time characteristics of the stick-slip and noise events. Modern dimensionality theory incorporating state space variables is used to accommodate the nonsmoothness of stick-slip systems. Direct measurements of friction during velocity reversals lead to establishing relationships between the friction and the displacements, velocities, accelerations, and time. Educational innovations include developing a nonlinear oscillation course for off-campus delivery, incorporating computers in courses, projecting animations in lectures, and performing physical demonstrations in the classroom to illustrate complex dynamic phenomena.