Research on Reverse Engineering for Rotor-Bearing Systems Using the Finite Element Method

應用有限元素法之轉子－軸承系統逆向工程研究

陳明飛(Ming-Fei Chen) ； 黃韋倫(Wei-Lun Huang) ； 楊忠衡(Chung-Heng Yang) ； 杜順旭(Shun-Hsu Tu)

《中國機械工程學刊》 32卷5期 (2011/10) Pp. 381-390

https://doi.org/10.29979/JCSME.201110.0002

摘要

臨界轉速是轉子－軸承系統的主要動態參數之一，隨著轉子－軸承系統工作轉速的不斷提高，現在已經面臨超二階或更高階臨界轉速的問題。由於轉子的材料、軸承與聯軸器剛性等參數都會影響臨界轉速。因此，轉子－軸承系統的相關參數與臨界轉速的識別就變得非常重要。本文主要目地是針對一由主軸、軸承、聯軸器及馬達組成的轉子－軸承系統，以逆向工程的方式，經過計算、模態測試及階次測試三個過程，互相交叉比對所得結果，取得臨界轉速和軸承支撐剛性值。本文首先進行轉子－軸承系統之有限元素模型建構，再以模態測試所得結果修正數學模型，然後以修正後的模型加上陀螺效應，計算Campbell圖與臨界轉速圖，最後以臨界轉速圖比對階次分析測試結果，以最佳化方法得到軸承剛性值。本文藉由理論分析與實驗量測方法，求取轉子系統之動態特性，可做為工具機主軸或真空泵等高速旋轉機械開發的參考。

並列摘要

The critical speed is one of the major dynamic parameters of a rotor-bearing system. Because the working speed of a rotor-bearing system continuously increases, problems of second-order and higher-order critical speed necessarily appear. The critical speed of the rotor-bearing system is obviously affected by these parameters, which include the rotor's dimensions, materials, and the stiffness of its bearings and its coupling. Identifying the relationship between these parameters and the critical speed becomes extremely important. Therefore, this study obtains the critical speed and the bearing stiffness in the rotor-bearing system by employing a reverse engineering approach, combining analysis, modal testing and order tracking.First, the finite-element model of the rotor-bearing system is developed, and this can be identified by the results of the modal testing. The Campbell diagram and the critical speed map can be obtained by the correction model combined with the gyroscopic effect. Finally, the optimization method obtains the bearing stiffness by comparing the critical speed map and testing the results of the order-tracking. This investigation provides a method to determine the dynamic characteristics and critical speed map for the rotor-bearing system, and can be used to design and develop a high-speed rotating machine, including the spindles of machine tools, and the vacuum pumps.

並列關鍵字

rotor-bearing system ； modal testing ； finite-element method ； bearing stiffness ； critical speed map