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研究生:林昭仁
研究生(外文):Lin, Jaw Ren
論文名稱:孔隙頸軸承之液動潤滑性能研究
論文名稱(外文):On the Hydrodynamic Lubrication of Porous Journal Bearings
指導教授:黃吉川黃吉川引用關係
指導教授(外文):Hwang, Chi Chung
學位類別:博士
校院名稱:中原大學
系所名稱:機械工程研究所
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:1994
畢業學年度:82
語文別:中文
中文關鍵詞:孔隙頸軸承布氏模式達西模式
外文關鍵詞:Porous journal bearingsBrinkman modelDarcy model
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本文的目的,在探討孔隙頸軸承中孔隙材料內潤滑液的黏性剪應力效應對
整體潤滑性能之影響,分析的結果再和傳統模型 (忽略孔隙材料內潤滑液
之黏性剪應力) 所預測之結果做比較;研究發現,此黏性剪應力效應對孔
隙頸軸承的影響非常顯著而且不可忽略。整體而言,我們發現黏性剪應力
效應對孔隙頸軸承之定常態潤滑性能與線性動態性能皆產生有意義而不可
忽視之影響。對於定常態潤滑性能來說,黏性剪應力之效應增強了孔隙頸
軸承之負荷能力,同時亦降低其摩擦係數;並且在較大長徑比之情況下,
所影響之量更為顯著。對於線性動態性能而言,我們發現在參數空間之平
面內布氏模式所預估之線性穩定性能與達西模式及滑移模式所預估者截然
不同。比較特別地是,在下列任一種情況下︰(i).小長徑比,(ii).大長
徑比,或 (iii).低滲透性參數且定常態偏心率比值,使用布氏模式可預
估得到一個較高之門檻速率,亦即較佳之穩定性能。為進一步探討系統之
弱非線性穩定行為,我們應用霍普夫分歧理論來預估線臨界穩定性邊界附
近的分歧現象。結果顯示,在某些參數空間之平面內,短孔隙頸軸承潤滑
系統存在有超臨界或亞臨界之分歧行為。同時我們也發現,在固定滲透性
參數值之情況下,若增大系統參數之值,則系統鄰近於分歧點附近之弱非
線性行為可能由超臨界分歧現象轉變成為更複雜之亞臨界分歧行為。為能
更進一步觀察軸承運動方程式整個非線性效應對系統行為之影響,我們使
用四階阮奇--庫塔之數值法來研究短孔隙頸軸承潤滑系統之強非線性穩定
行為,結果顯示在亞臨界不穩定區域附近,強非線性理論所預測之結果較
弱非線性理論所預測之結果更為豐富;弱非線所預測為定常解的門檻振幅
,而強非線性之計算所得為定常解、周期解等之門檻邊界,超出此邊界,
系統之演化將趨向崩潰。綜合以上,本文係採用布氏模式來精確預估系統
之定常態性能與線性動態性能並加以分析系統弱非線性及強非線性之穩定
性行為;本文整 體之研究內容能夠提供潤滑工程一個新的參考依據。
Cover
1 Introduction
I I Porous Journal Bearings
12 Discussions of the Used Models
13 Outline of Thesis
2 Formation of the Problem
21 Porous Journal Bearing Geometry
22 Modified Reynolds Equation
23 Film Forces
24 Equations of Motion, of the Journal
3 Static Characteristics
3 I Bearing Characteristics
32 Short Bearing Approximation
321 Short Bearing Characteristics
322 Film pressure and Load Capacity
323 Attitude Angle and Friction Parameter
33 Long Bearing Approximation
331 Long Bearing Characteristics
332 Compared to That of a Long Solid Bearing
333 Load Number, Attitude Angle and Friction Parameter
34 Finite Porous Journal Bearing
341 Preconditioned Conjugate Gradient Method
342 Numerical Formulation
343 Finite Bearing Characteristics
344 Effect of a
345 Compared to That of a Finite Solid Bearing
346 Film pressure and Load Capacity
347 Attitude Angle and Friction Parameter
348 Compared to the Previous Work about Slip Effect
35 Conclusion of the Static Characteristics
4 Linear Stability Analysis
41 Dynamic Coefficients and Stability Criterion
42 Short Bearing Approximation
421 Effect of a and Compared to That of a Short Solid Bearing
422 Stiffness Coefficients
423 Damping Coefficients
424 Stability Threshold Speed
43 Long Bearing Approximation
431 Compared to That of a Long Solid Bearing
432 Stiffness Coefficients
433 Damping Coefficients
434 Stability Threshold Speed
44 Finite Porous Journal Bearings
441 Compared to That of a Finite Solid Bearing
442 Stiffness Coefficients
443 Damping Coefficients
444 Stability Threshold Speed
45 Conclusion of the Dynamic Characteristics
5 Weakly Nonlinear Stability Analysis
5 I Hopf Bifurcations
52 Meaning of Sub- and Super-critical Bifurcations
53 Introducing the System Parameter
54 Application of Hopf Bifurcation
55 Compared to That of a Short Solid Bearing
56 Weak-Nonlinear Stability Regions of Short Bearings
57 Hopf Bifurcation of Short Bearings
58 Conclusion of Bifurcation Phenomena for Short Bearings
6 Strongly Nonlinear Stability Analysis
61 Transient Response of the Journal for Short Porous Bearings
62 Nonlinear Stability Boundary of Short Porous Bearings
63 Conclusion of Strongly Nonlinear stability for Short Bearings
7 Concluding Remarks
71 Review of Results
72 Conclusion
73 Suggestions on Future Research
Appendix A Deriving the Modified Reynolds Equation
AI Expressions of u, u, w and w
A 2 Expressions of A\, D{, A@ and D@
A 3 Expressions of A and B
Appendix B Characteristics of Porous Bearings by Using the SFM and DM
B I Short Bearing Approximation
B 2 Long Bearing Approximation
B 3 Finite Porous Bearings
Appendix C Effect of Linear Pressure Gradient Assumption
C I Deriving the Modified Reynolds Equation
C 2 Bearing Characteristics
C 3 Effect of LPGA
C 4 Conclusion about the Effect of LPGA
References
List of Publications
Others
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