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研究生:黃維民
研究生(外文):Wei-Min Huang
論文名稱:油膜軸承支撐轉子系統之振動分析
論文名稱(外文):Vibration Analysis of An Oil-filmed Rotor-Bearing System
指導教授:吳重雄
指導教授(外文):Jong-Shyong Wu
學位類別:碩士
校院名稱:國立成功大學
系所名稱:造船及船舶機械工程學系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:44
中文關鍵詞:旋動頻率轉子軸承系統油膜軸承轉移矩陣法
外文關鍵詞:whirling frequencytransfer matrix methodoil film bearingrotor-bearing system
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  • 被引用被引用:4
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  • 下載下載:141
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本文之主旨在於利用轉移矩陣法來求解由一系列的軸與圓盤所構成的轉子系統,在油膜軸承支撐下的旋動頻率(whirling frequency)。
文中以二維的樑來介紹轉移矩陣法之基本原理,然後再用三維的樑理論來推導軸、圓盤及油膜軸承的轉移矩陣。最後再用轉移矩陣法來求得系統的特徵方程式,則與特徵方程式之極小值對應之特徵值即為轉子軸承系統的旋動頻率。本文對於旋動頻率與一般旋轉軸之臨界轉速的關係亦有扼要的探討。
The purpose of this paper is determining the whirling frequency of rotor systems, mounted on oil-film bearings. The rotor is described by a series of shafts and disks. Transfer matrix methods are used to determine the characteristic determinant of system.
In this paper we use the beam of two dimensions to introduce the basic theorem of the transfer matrix method. Then, we use the theory of the beam of three dimensions to derive the transfer matrices of shafts, disks and oil-filmed bearings. Finally, we use the transfer matrix method to determine the characteristic equations, and the minimum corresponding eigenvalues are the whirling frequencies of the rotor-bearing system. In this paper we have the summary discussing with the whirling frequency and critical speed.
Abstract IV
摘要 V
誌謝 VI
目錄 VII
表目錄 IX
圖目錄 X
符號說明 XI
第一章 緒論 1
第二章 轉移矩陣法之基本原理 3
第三章 油膜軸承支撐之轉子系統的旋動頻率 10
3.1 段軸(場)的轉移矩陣 11
3.2 圓盤(站)的轉移矩陣 13
3.3 油膜軸承的轉移矩陣 15
3.4 系統的旋動頻率 19
第四章 旋動頻率與臨界速度 24
4.1 臨界速度之定義 24
4.2 臨界速度之求法 25
第五章 數值分析結果與討論 27
第六章 結論 36
參考文獻 37
附錄一、均勻段軸的轉移矩陣公式之推導 39
自述 44
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2.G. W. FAN, H. D. NELSON and M. P. MIGNOLET, Optimal output feedback control of asymmetric systems using complex modes, Transactions of the ASME Journal of Engineering for Gas Turbines and Power 115, pp.307-330,1993.
3.C. R. BURROWS and M. N. SAHINKAYA, Vibration control of multi-mode rotor-bearing systems ,Proceedings of Royal Society of London, Part A ,pp.386,77-94,1983.
4.N. O. MYKLESTAD , A new method of calculating natural modes of uncoupled bending vibration of aeroplane wings and other type of beams ,Journal of Aerosol Science, Vol. 11, pp.153-162,1944.
5.M. A. PROHL, A general method for calculating critical speeds of flexible rotors, Journal of Applied Mechanics 12, pp.142-148,1945.
6.J. W. LUND, Stability and damped critical speeds of a flexible rotor in fluid-film bearings, Transactions of the ASME, Journal of Engineering for Industry, Vol. 96, pp.509-517,1974.
7.R. FIROOZIAN and H. ZHU, A hybrid method for the vibration analysis of rotor-bearing systems, Proceedings of the Institution of Mechanical Engineers, part C 205,pp.131-137,1991.
8.A. C. LEE, Y. KANG and S. L. LIU, A modified transfer matrix method for linear rotor-bearing systems, Transactions of the ASME, Journal of Applied Mechanics 58, pp.776-783, 1991.
9.M. ALEYAASIN, M. EBRAHIMI and R. WHALLEY, Multivariable hybrid models for rotor-bearing systems , Journal of Sound and Vibration 233, pp.835-856,2000.
10.H. OKAMURA, A. SHINNO, T. YAMANAKA, A. SUZUKI and K. SOGABE, Simple modeling and analysis for crankshaft three dimensional vibrations, Part 1: background and application to free vibrations, Transactions of the ASME, Journal of Vibration and Acoustics 117,pp.70-79,1995.
11.顧德銘,”旋轉軸之振動與穩定性分析” 國立成功大學機械工程研究所博士論文,民國80年。
12.M. Rajan, H. D. Nelson and W. J. Chen, Parameter sensitivity in the dynamics of rotor-bearing systems, Transactions of the ASME Journal of Vibration, Acoustics, Stress and Reliability in Design 108, pp.197-206,1986.
13.L. Meirovitch, Analytical Methods in Vibrations, 1967, Macmillan Company, London.
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