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

该职业奖强调建模识别工具的开发，以及包括动态干摩擦的机械系统的响应。此类系统的典型示例包括汽车啸叫、轨道轮啸叫、金属切削过程以及许多其他制造应用。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主要应用于汽车尖叫的真实动态行为至关重要。该方法涉及小波量化的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数理论被用来适应粘滑系统的非光滑性。在速度反转期间直接测量摩擦导致建立摩擦与位移、速度、加速度和时间之间的关系。教育创新包括开发一个非线性振荡课程校外交付，将计算机课程，投影动画讲座，并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.