Vibration Control of Rotating Plates and Translating Bands

该项目研究了三个基本问题，这些问题对材料加工和计算机行业中的机器动力学和高生产率机器的设计很重要。它们是：1)自由中心、高速旋转圆板的振动；2)超临界转速旋转的圆板；以及3)高速带的振动：磁带、传动带和锯子。问题1的自由心板通过作用在板面上的流体轴承沿着花键驱动主轴定位。它实现了对产品尺寸的显著控制，并显著减少了切割残留量。这台机器的机械原理尚不清楚。观察到的灾难性不稳定性、陀螺仪进动，以及在操作过程中通过轴承驱动控制主轴上的板位置是一些重要的解决问题。在问题2中，超临界转速旋转圆板的自转速度高于失稳时的预期转速，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。这一限制限制了两地高速提高生产率的潜在巨大机会。必须以足够的精度和深度处理这个问题，以便识别不稳定的原因，观察稳定运行的速度窗口，并评估解决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，运送人员和产品，传递信息。在高速度和高精度下运行需要了解系统的机械结构和实施振动控制。在无耗散的情况下，带轮系统的纵向和横向耦合振动的模型现在必须扩展以包括耗散。它可用于被动预测和振动的实时控制。

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.