攜帶多個彈性附著轉子之軸系的扭轉振動分析

Torsional Vibration Analysis of a Shaft Carrying Multiple elastic-mounted Rotors

吳佳璋(Jia-Jang Wu) ； 孫顯揚(Hsien-Yang Sun)

《中華民國振動與噪音工程學會論文集》 2007 (2007/06) Pp. 129-138

https://doi.org/10.30028/CSSVANNUAL.200706.0129

摘要

為了方便，本文將攜帶多個彈性附著轉子（如：飛輪）的軸稱為彈性轉子軸系，而攜帶多個剛性附著轉子（如：圓盤）的軸則稱為剛性轉子軸系。本文的主要目的在於提出等效剛性附著轉子的理論，以使彈性轉子軸系的振動特性可以由其等效剛性轉子軸系來預測。且為了確認本文所提理論的正確性，本文將由等效剛性轉子法(ERM)所得到的數值結果與由傳統有限元素法(FEM)所得到的結果來做比較，比較後發現兩者的數值結果非常接近。此外，除了利用傳統有限元素法來印證所提出之等效剛性轉子法的可靠性，本文將進行一些彈性轉子軸系及其等效剛性轉子軸系的模型試驗，由試驗結果發現，上述兩個系統的自然頻率相當接近，於是更進一步確認了等效剛性轉子法的可靠性。因為剛性附著轉子的質量慣性矩比彈性附著轉子的扭轉彈簧常數與質量慣性矩更容易修改，因此，本文所提的方法應該相當有意義。

關鍵字

扭轉振動 ； 彈性附著轉子 ； 等效剛性附著轉子

並列摘要

For conveniences, a shaft carrying a number of elastic-mounted rotors (such as flywheels) is called elastically rotor-shaft system, while that carrying rigid-attached rotors (such as disks) is called rigidly rotor-shaft system. This paper presents the theory of equivalent rigid-attached rotor such that the torsional vibration characteristics of the elastically rotor-shaft system can be predicted from the corresponding ones of the equivalent rigidly rotor-shaft system. To validate the presented theory, the numerical results obtained from the equivalent rigid-attached rotor method (ERM) are compared with those obtained from the conventional finite element method (FEM) and the analytical approach, and good agreement is achieved. In addition to the conventional finite element method, the presented equivalent rigid-attached rotor method is also validated by experiments. This research will construct the following two experimental models: a shaft carrying elastically mounted rotors and the same shaft carrying equivalent rigidly attached rotors. Comparison of the measured natural frequencies of the last two experimental models reveals that the experimental results of the last two models are in close agreement. So the experimental results can further confirm the reliability of the presented equivalent rigid-attached rotor method. Because the mass moment of inertia of the rigidly attached rotor can be more easily modified than the rotational spring constant and mass moment of inertia of the elastically mounted rotor, the presented technique will be meaningful from theoretical and experimental viewpoints.

並列關鍵字

Torsional vibration ； elastic-mounted rotor ； equivalent rigid-attached rotor