Vibration Control of Rotating Plates and Translating Bands

该项目研究了材料加工和计算机工业中机器动力学和高生产率机器设计的三个重要基本问题。它们是：1)自由中心振动，高速旋转的圆板；2)超临界转速旋转板；3)高速带的振动：磁带、传动带和锯子。问题1的自由中心板通过作用于板面上的流体轴承沿花键驱动主轴定位。对产品尺寸的控制效果显著，并显著减少切削残留。这台机器的原理尚不清楚。观察到灾难性的不稳定性，陀螺仪进动，并控制板的位置在主轴上的运行过程中，驱动与轴承是一些重要的问题加以解决。在问题2中，超临界转速旋转圆板在不稳定状态下的转速高于预期转速，即临界转速。磁盘驱动器和圆锯机的设计者目前将操作速度设置为大大低于临界速度。这一限制限制了两方面高速发展带来的潜在巨大生产力提升机会。必须以足够的精度和深度来处理这个问题，以便确定不稳定的原因，观察稳定运行的速度窗口，并评估不稳定问题的可能技术解决方案。问题3中的翻译带切割材料，运输人和产品，传递信息。高速高精度运行需要了解系统的力学和振动控制的实施。在没有耗散的情况下，条带和车轮系统的纵向和横向耦合振动模型现在必须扩展到包括耗散。它可以用于振动的被动预测和实时控制。

The project investigates three fundamental problems important to machine dynamics and the design of high productivity machines in material processing and computer industries. They are: 1) Vibration of Free Center, High Speed Rotating Circular Plates; 2) Supercritical Speed Rotating Plates; and 3) Vibration of High Speed Bands: Tapes, Drive Belts, and Saws. The free center plate of Problem 1 is positioned along a splined drive spindle by fluid bearings acting on the faces of the plate. It achieves remarkable control over product dimension and dramatically reduces cutting residual. The mechanics of the machine is not known. Observed catastrophic instabilities, gyroscopic precessions, and control of the plate position on the spindle during operation by driving with the bearings are some of the important issues which are addressed. In Problem 2, the supercritical speed rotating circular plate spins at a higher speed than that expected at instability, i.e., the critical speed. Designers of disk drives and circular sawing machines currently set the operating speed to substantially less than the critical speed. The restriction limits the potentially enormous opportunities for increased productivity from high speed on both. The problem must be approached with sufficient precision and depth so that the causes of instability are identified, speed windows for stable operation are observed, and possible technological solutions to the instability problem are evaluated. The translating bands in Problem 3 cut materials, transport people and products, and transmit information. Operation at high speeds with high precision requires understanding of the mechanics of the system and implementation of vibration control. A model of the coupled longitudinal and transverse vibration of a band and wheel system in the absence of dissipation must now be extended to include dissipation. It can be used to predict passive and real-time control for vibration.