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系統識別號 U0026-0908201814200900
論文名稱(中文) 應用油膜軸承於斜齒輪轉子系統之動態分析
論文名稱(英文) Dynamic Analysis of a Helical Geared Rotor System with Oil-Film Bearing
校院名稱 成功大學
系所名稱(中) 航空太空工程學系
系所名稱(英) Department of Aeronautics & Astronautics
學年度 106
學期 2
出版年 107
研究生(中文) 呂文正
研究生(英文) Wen-Cheng Lu
學號 P46051199
學位類別 碩士
語文別 中文
論文頁數 65頁
口試委員 指導教授-崔兆棠
口試委員-江達雲
口試委員-陳膺中
口試委員-周玉端
中文關鍵字 轉子系統  油膜軸承  斜齒輪  有限元素法 
英文關鍵字 Rotor-Bearing System  Oil-Film Bearing  Helical Gear  Finite Element Method 
學科別分類
中文摘要 本文以有限元素法分析油膜軸承斜齒輪轉子系統之動態行為。系統由轉軸、齒輪與油膜軸承所構成。轉軸以Timoshenko樑來模擬,考慮轉軸的旋轉慣性及剪應變效應。齒輪為鋼性轉盤,並考慮其陀螺效應,齒輪對視為兩個剛性轉盤,並以線性彈簧及阻尼器沿著壓力線連接來模擬。本文探討軸承的黏度、軸承徑向間距、軸承直徑、軸承長度、軸承長徑比、斜齒輪角度、齒輪嚙合勁度、轉軸內徑等相關參數對於系統之動態行為的影響。本文將模擬之結果與參考文獻做比較,皆得到很好的準確度,由此可知,本文所建構的油膜軸承轉子軸承系統之模擬有很好的準確性。本文假設潤滑油為不可壓縮液體。根據液體的不可壓縮性與液體的動壓理論,徑向間距中的潤滑油將產生油膜力。當徑向間距越小,所產生的油膜力越大,故系統的動態響應越大。
英文摘要 The purpose of this study is to investigate the dynamic behavior of a helical geared rotor system with oil-film bearing. The system is composed of shafts, gears and oil-film bearing. Under the framework of the finite element method, rotating shafts are modeled as Timoshenko beam including the effects of rotary inertia and shear deformation. Bearings are known as oil-film bearing. Gears are considered to be rigid, yet their gyroscopic effect is also taken into account. The gear mesh is modeled as a pair of rigid disks connected with spring-damped set along the pressure line. In this thesis, we discuss effects of parameters such as viscosity of bearing lubricant, radial clearance of bearing, journal diameter, bearing length, width-length ratio, helical angle of disk, inner diameter of shaft, on the dynamic response of the system. Results of this work for dynamic analysis of rotors are compared to those available in the literature. An excellent agreement is observed, which validates the formulation and implementation of the model development. Assumed lubricant as incompressible fluid. According to hydrodynamic theory, as the radial clearance of bearing decreases, the lateral response and the axial response of the system increases.
Keywords: Rotor-Bearing System, Oil-Film Bearing, Helical Gear, Finite Element Method
論文目次 目錄
摘要 ii
致謝 ix
表目錄 xii
圖目錄 xiii
符號說明 xv
第一章 緒論 1
1-1前言 1
1-2 研究動機與目的 2
1-3文獻回顧 3
1-4本文研究 7
第二章 系統運動方程式推導 8
2-1座標系統 8
2-2系統各單元之運動方程式 8
2-2-1轉盤 8
2-2-2轉軸 10
2-2-3軸承 13
2-2-4斜齒輪 15
2-2-5系統運動方程式 18
2-3動態特性分析 18
2-3-1旋振速率分析 19
2-3-2穩態響應分析 20
第三章 數值模擬結果與討論 21
3-1程式驗證 21
3-2自然頻率之收斂性分析 22
3-3軸承潤滑油黏度之影響 23
3-4軸承徑向間距之影響 23
3-5軸承直徑之影響 24
3-6軸承長度之影響 25
3-7軸承長徑比之影響 25
3-8斜齒輪角度之影響 26
3-9齒輪嚙合勁度之影響 27
3-10轉軸內徑之影響 27
第四章 數值模擬結果與討論 28
參考文獻 30
附錄一 34
附錄二 36
附錄三 43
參考文獻 [1] Ruhl, R. L., and Booker, J. F., “A Finite Element Model for Distributed Parameter Turbo-rotor System,” ASME, Journal of Engineering for Industry, Vol. 94, pp. 126-132, 1972.
[2] Nelson, H. D., and McVaugh, J. M., “The Dynamics of Rotor-Bearing Systems Using Finite Elements,” ASME, Journal of Engineering for Industry, Vol. 98, pp. 593-600, 1976.
[3] Nelson, H. D., “A Finite Rotating Shaft Element Using Timoshenko Beam Theory,” ASME, Journal of Mechanical Design, Vol. 102, pp. 793-803, 1980.
[4] Dym, C. L., and Shames, I. H., Solid Mechanics–A Variational Approach, McGraw-Hill, New York, 1973.
[5] Eshleman, R. L., and Eubanks, R. A., “On the Critical Speeds of a Continuous Rotor,” ASME, Journal of Engineering for Industry, Vol. 91, pp. 1180-1188, 1969.
[6] Lund, J. W., and Saibel, E., “Oil Whirl Orbits of a Rotor in Sleeve Bearing,” ASME, Journal of Engineering for Industry, Vol. 89, pp. 813-823, 1967.
[7] Vance, J. M., and Kirton, A. J., “Experimental Measurement of the Dynamic Force Response of a Squeeze-Film Bearing Damper,” ASME, Journal of Engineering for Industry, Vol. 97, pp.1282-1290. , 1975.
[8] Thomsen, K. K., and Andersen, H., “Experimental Investigation of a Simple Squeeze Film Damper,” ASME, Journal of Engineering for Industry, Vol. 96, pp.427-430, 1974.
[9] Lin, Y. H., and Lin, S. C., “Optimal Weight Design of Rotor Systems with Oil-Film Bearings Subjected to Frequency Constraints,” Finite Elements in Analysis and Design, Vol. 37, pp. 777-798, 2001.
[10] 徐煒峻,具液動壓止推軸承之非線性轉子系統動態特性之研究, 國立中正大學機械工程學博士論文, 2004
[11] Sorge, F., “Influence of Rotor Suspension Anisotropy on Oil Film Instability,”ASME, Journal of Vibration and Acoustics-Transactions , Vol. 140, 2018.
[12] Liu, X., Bo, L., and Luo, H., “Directional Cyclic Demodulation with Application to Identification of Rotor Oil-Film Instability Fault Coupled with Rub-Impact,” IET, Science Measurement and Technology , Vol. 12, pp. 567-574, 2018.
[13] Mitchell, L. D., and Mellen, D. M., “Torsional-Lateral Coupling in a Geared High-Speed Rotor System,” ASME, Paper No.75-Det-75, 1975.
[14] Lund, J., “Critical Speeds, Stability and Response of Geared Train of Rotors,” ASME, Journal of Mechanical Design, Vol. 100, pp. 535-539, 1978.
[15] 陳膺中, 具殘留軸曲的齒輪轉子軸承系統動態特性之分析, 國立中正大學機械工程研究所碩士論文, 2005.
[16] Kahraman, A., “Effect of Axial Vibration on the Dynamics of a Helical Gear Pair,” ASME, Journal of Vibration and Acoustics, Vol. 115, pp. 33-39, 1993.
[17] Kahraman, A., “Dynamic Analysis of a Multi-Mesh Helical Gear Train,” ASME, Journal of Mechanical Design, Vol. 116, pp. 706-712, 1994.
[18] Kubur, M., Kahraman, A., Zini, D. M., and Kienzle, K., “Dynamic Analysis of a Multi-Shaft Helical Gear Transmission by Finite Elements: Model and Experiments,” ASME, Journal of Mechanical Design, Vol. 126, pp. 398-406, 2004.
[19] Draca, S., “Finite Element Model of a Double-Stage Helical Gear Reduction,” Doctoral Dissertation, University of Windsor, 2006.
[20] Feng, K., Matsumura, S., and Houjoh, H., “Dynamic Behavior of Helical Gears with Effects of Shaft and Bearing Flexibilities,” Applied Mechanics and Materials, Vol. 86, pp. 26-29, 2011.
[21] Yang, F., Huang, Q., Wang, Y., and Wang, J., “Research on Dynamics of Double-Mesh Helical Gear Set,” Applied Mechanics and Materials, Vol. 215, pp. 1021-1025, 2012.
[22] Zhang, Y., Wang, Q., Ma, H., Huang, J., and Zhao, C., “Dynamic Analysis of Three-Dimensional Helical Geared Rotor System with Geometric Eccentricity,” KSME, Journal of Mechanical Science and Technology, Vol. 27, pp. 3231-3242, 2013.
[23] 黃忠立, 轉子-軸承系統在多臨界轉速限制下之輕量化設計, 國立成功大學航空太空工程研究所碩士論文, 1987.
[24] 阮競揚, 含橫向裂縫的轉子軸承系統之動態特性分析, 國立成功大學航空太空工程研究所碩士論文, 1997.
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