| 研究生: |
易良謙 Yi, Liang-Chian |
|---|---|
| 論文名稱: |
連續模式之轉子系統的橫向振動分析 Transverse vibrations of a continuous rotor system |
| 指導教授: |
吳重雄
Wu, Jong-Shyong |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 系統及船舶機電工程學系 Department of Systems and Naval Mechatronic Engineering |
| 論文出版年: | 2006 |
| 畢業學年度: | 94 |
| 語文別: | 中文 |
| 論文頁數: | 61 |
| 中文關鍵詞: | 集結質量轉移矩陣法 、臨界轉速 、自然頻率 |
| 外文關鍵詞: | critical speed, lumped-mass transfer matrix method, natural frequency |
| 相關次數: | 點閱:93 下載:2 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
摘要
本文之主旨是在探討連續模式的轉子系統,向前與向後旋動(forward and backward whirling)之特性。文中,吾人首先利用解析法求得連續軸的水平與垂向位移函數,接著,利用連續軸兩端支撐點的邊界條件,以及圓盤與連續軸之接點的相容及平衡條件,求得整個轉子系統的頻率方程式。最後,由上述頻率方程式,吾人即可求得轉子系統向前與向後旋動的臨界轉速,以及各對應的振態。圓盤在連續軸上的位置及其直徑比,對轉子系統的臨界轉速與振態之影響,係本文探討的重點。為了核對本文理論與電算程式的可靠性,吾人亦使用傳統的集結質量轉移矩陣法,來求同一轉子系統在無旋轉情況下的「自然頻率」,並將所得結果與根據連續模式轉子系統理論,所得的向前與向後旋動之「臨界轉速」相比較,以了解它們之間的差別。
Abstract
Probing into the subsystem of rotating of the continuous way in purport of this text, with fasten the characteristic moved (forward and backward whirling ) backward forward. Wen Zhong, my utilizes the analytic method to try to get the level of the continuous axle and hang down to displacement function at first, then , utilize the border condition of the continuous axle both ends strong point , and the inclusive and balanced condition of the contacts of the disc and continuous axle, try to get the whole frequency equation preface that transfered to the subsystem. Finally, by the equation preface of above-mentioned frequency, my can try to get the subsystem of rotating with fasten the critical rotational speed moved backward forward , and the each corresponding attitude of shaking . Disc in continuous for position and his the diameter in axle than,to transfering by rotational speed not critical of subsystem to and shaking influence of attitude of, it is the focal point that this text probes into. In order to check that the theory of a unity and coherence in writing and electricity can be regarded as the dependability of the procedure , my also uses the traditional quality of concentrating to shift the matrix law, is it ask the same to transfer subsystem ' natural frequency ' in without spin cases to to come, and income with turn the theory of the subsystem result according to continuous way, the income , with fasten ' the critical rotational speed ' moved to compare backward forward, in order to understand the difference between them.
1.黃維民, “油膜軸承支撐轉子系統之振動分析”, 國立成功大學系統及船舶機電工程 研究所碩士論文,民國91年6月。
2.N.O. Myklestat, A new method of calculating natural modes of coupled bending vibration of airplane wings and other types of beams, Journal of Aeronautical Science, 11, 153-162, 1944.
3.M.A. Prohl, A general method for calculating critical speeds of flexible rotors, Journal of Applied Mechanics, 12(5), A-142 to A-148, 1945.
4.R.L. Urban, Extension of Holzer - Myklestad - Prohl calculation of turbo-rotor critical speeds, ASME Paper No. 58-A-246, 1958.
5.M. Aleyaasin, M. Ebrahimi, R. Whalley, Multivariable hybrid models for rotor-bearing systems, Journal of Sound and Vibration, 233, 835-856, 2000.
6.A.C. Lee, Y. Kang, S.L. Liu, A modified transfer matrix method for linear rotor-bearing systems, Journal of Applied Mechanics, Transactions of the ASME, 58, 776-783, 1991.
7.R.L. Ruhl, J.F. Booker, A finite element model for distributed parameter turbo-rotor systems, Journal of Engineering for Industry, Transactions of the ASME, 126-132, May 1972.
8.H.D. Nelson, J.M. Mcvaugh, The dynamics of rotor-bearing systems using finite elements, Journal of Engineering for Industry, Transactions of the ASME, 594-599, May 1976.
9.M. Rajan, H.D. Nelson, W.j. Chen, Parameter Sensitivity in the Dynamics of Roror-bearing systems, Journal of Vibration, Acoustics, Stress, and Reliability in Design, 108, 197-206, 1986.
10.Y.H. Lin, S.C. Lin, Optimal weight design of rotor systems with oil-film bearings subjected to frequency constraints, Finite Elements in Analysis and Design, 37, 777-798, 2001.
11.R. Firoozian, H. Zhu, A hybrid method for the vibration analysis of rotor-bearing systems, Proceedings of the Institute of Mechanical Engineers, part C, 205, 131-137, 1991.
12.R.L. Eshleman, R.A. Eubanks, On the critical speeds of a continuous shaft-disk system, Journal of Engineering for Industry, Transactions of the ASME, 645-659, Nov. 1967.
13.L. Meirovitch, Analytical Methods in Vibrations, Macmillan Company, London, 1967.