HSFD-Mounted Rotor-Bearing System Lubricated with Couple Stress Fluid with Hydraulic Control

以偶應力流體潤滑之電液主動控制擠壓油膜阻尼器之轉子－軸承系統研究

張簡才萬(Cai-Wan Chang-Jian) ； 姚賀騰(Her-Terng Yau)

《中國機械工程學刊》 31卷4期 (2010/08) Pp. 297-305

https://doi.org/10.29979/JCSME.201008.0004

摘要

本文旨在探討在具主動式控制之擠壓式偶應力流體潤滑液膜軸承－轉子系統的研究，文中結合了短軸承與長軸承的假設理論，推導出具有四個靜壓腔調節之擠壓式油膜軸承內的壓力分佈。在利用比例微分控制器調節靜壓腔內的壓力分佈下，可以發現具有此種軸承之轉子－軸承系統可能會存在不規則的非同步振動，但經由調高PD控制器的比例增益，我們可以發現轉子中心的軌跡可以脫離此種不規則的非同步振動，而達到一種週期同步振動的運動狀態並且證明偶應力流體潤滑劑可有效幫助系統維持在穩定振動。

並列摘要

The hybrid squeeze-film damper bearing lubricated with couple stress fluid is proposed in this paper. The pressure distribution and the dynamics of a rigid rotor supported by such bearing are studied. Numerical results show that, due to the nonlinear factors of lubricant film force, the trajectory of the rotor demonstrates a complex dynamics with rotational speed ratio s. Poincaré maps, and bifurcation diagrams are used to analyze the behavior of the rotor trajectory in the horizontal and vertical directions at s=6.0. The maximum Lyapunov exponent is used to determine if the system is in a state of chaotic motion. Numerical results show that the maximum Lyapunov exponent of this system is positive at the non-dimensional speed ratio s=6.0, which indicate that the rotor trajectory is chaotic under such operation condition. In order to avoid the nonsynchronous chaotic vibrations, an increased proportional gain k(subscript p)=0.1 is applied to control this system. It is shown that the rotor trajectory will leave chaotic motion to periodic motion in the steady state under control action.

並列關鍵字

Hybrid Squeeze-Film Damper ； couple stress fluid ； active control