Vibration Control of Rotating Plates and Translating Bands

该项目解决了机器动力学中的三个基本问题，其解决方案对于材料加工和计算机工业中高生产率机器的设计非常重要。三个研究课题是(1)超临界转速旋转板；(2)阻尼、非对称、高速旋转圆形板在静止滑块轴承系统下的振动；(3)高速带（胶带、纤维、皮带和锯子）的振动和稳定性。第一个主题的影响将是在计算机磁盘驱动器和圆锯机。目前的系统使用亚临界速度来避免低频激励引起的振动波共振。超临界速板受气动弹性颤振的影响，因此其使用受到限制。超临界转速板将意味着生产率的提高，本研究旨在确定旋转板的最大运行速度。第二个问题涉及一类系统，其中包括计算机磁盘驱动器、圆锯钻机和磁盘制动转子。板/滑块系统在亚临界和超临界速度下可能不稳定。本研究对轴对称板/滑块系统的稳定性有了全面的了解。第三个研究问题涉及的系统类别包括数字存储磁带、传动带、带锯、电车电缆、纺织品、卷筒纸和新闻纸。更高的输送速度可以提高生产率，但更高的速度也会导致横向振动，从而导致精度降低甚至系统故障。本研究通过使用横向力致动器和张力控制，开发了分布式轴向移动材料的线性振动控制，从而提供了更高的速度。

This project addresses three fundamental problems in machine dynamics whose solutions are important in the design of high productivity machines in the material processing and computer industries. The three research topics are (1) supercritical speed rotating plates, (2) vibration of damped, asymmetric, high speed, rotating circular plates subjected to a stationary slider bearing system, and (3) vibration and stability of high speed bands (tapes, fibers, belts, and saws). The first topic's impact will be in computer disk drives and circular sawing machines. Current systems use subcritical speed to avoid resonance of vibration waves by low frequency excitations. Supercritical speed plates are subject to aeroelastic flutter and thereby limited in their use. Supercritical speed plates would imply gains in productivity, and this research seeks to determine the maximum operating speed of a rotating plate. The second problem addresses a class of systems which includes computer disk drives, circular sawing rigs, and disk brake rotors. The plate/slider system can be unstable at subcritical and supercritical speed. This research develops a complete understanding of the stability of axisymmetric plate/slider systems. The third research problem addresses the class of systems which includes digital memory tapes, drive belts, band saws, tramway cables, textiles, paper rolls, and newsprint. Enhanced productivity is possible with higher transport speed, but higher speed also leads to transverse vibration which can lead to reduced accuracy and even system failure. This research provides for higher speeds by developing linear vibration control of distributed axially moving materials through the use of transverse force actuators and of tension control.