Reduction of the Vibration Response of a Geared Rotor-Bearing System with Residual Shaft Bow by Optimization

以最佳化方法來降低具殘留軸曲的齒輪子軸成系統之振動響應

陳膺中(Ying-Chung Chen) ； 康仲豪(Chung-Hao Kang) ； 崔兆棠(Siu-Tong Choi)

《中國機械工程學刊》 36卷6期 (2015/12) Pp. 471-480

摘要

一般工業上齒輪轉子軸承系統在長時間使用下，旋轉軸會產生永久變形，即殘留軸曲。在此情況下系統的振動響應將會增加。直接更換旋轉軸雖為解決方法，但是此法太浪費資源且不環保。本文將藉由使用基因遺傳演算法與粒子群演算法這兩種最佳化方法與加裝黏彈支承來降低由殘留軸曲所導致之系統振動響應。在最佳化過程中，齒輪位置的振動響應將個別或同時考慮為目標函數。由數值結果得知，殘留軸曲將增加齒輪轉子軸承系統的振動響應，但是對於系統的自然頻率幾乎沒影響。加裝黏彈性支承能有效降低系統由旋轉軸產生殘留軸曲之振動響應。藉由使用最佳化來調整軸承支撐旋轉軸之位置能降低由旋轉軸產生殘留軸曲後所導致之振動響應與軸承上的傳遞力。

並列摘要

This paper presents an optimization procedure for vibration reduction of a geared rotor-bearing system with residual bows in shafts. In practice, the shafts would deform after a certain period of service time and the deformation will increase system vibration. Replacing bowed shafts by new ones is an easy way to solve this problem; however, this is a waste of resources and environmentally unfriendly. In this paper, the shafts are equipped with viscoelastic bearing supports and optimization algorithm is applied to reduce the vibration caused by residual shaft bow. The gear vibration and transmitted forces on viscoelastic bearing supports are individually or simultaneously considered as the objectives during optimization process of vibration reduction. Numerical results show that the influence of residual shaft bow on vibration response of geared rotor-bearing system can be minimized by equipping the shafts with viscoelastic bearing supports and by altering the bearing positions.

並列關鍵字

vibration response ； shaft bow ； optimization ； geared rotor-bearing system