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研究生:周祥瑞
論文名稱:氣體靜動壓混合軸承之分析與應用
論文名稱(外文):A study of the hybrid aerostatic- and aerodynamic- bearing
指導教授:陳政雄陳政雄引用關係
指導教授(外文):Chen, Jenq-Shyong
學位類別:碩士
校院名稱:國立中正大學
系所名稱:機械系
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:2001
畢業學年度:89
語文別:中文
論文頁數:75
中文關鍵詞:氣體軸承氣靜壓氣動壓混合軸承
外文關鍵詞:Air bearingAerostaticAerodynamicHybrid bearing
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本文主要目的在於分析人字形氣體靜動壓混合軸承於主軸高速運轉下所產生之靜態靜動壓混合特性,而所謂人字形氣靜動壓混合軸承,乃將傳統氣體靜壓軸承及人字形氣體動壓軸承,兩種結構組合所產生。
在理論分析上,推導適合人字形氣體靜動壓混合軸承之雷諾方程,配合氣靜壓及人字形溝槽動壓軸承的邊界條件,將其理論方程差分化,並以Alternating-Dirction-Implicit method(ADI)搭配Sucessive Over-Relaxations(SOR)之數值方法求解雷諾方程,並計算其相關性能。
本研究完成分析氣靜壓、人字形氣靜動壓混合運行的氣體軸承性能,包括無因次氣膜壓力分佈、軸承承載能力、軸承剛性及軸承姿態角等。並對混合軸承之溝槽角、溝槽長度及槽深係數,三種參數做特性分析且得到上述結果,並與氣靜壓軸承做比較。
The purpose of this work is to analyze the static characteristics of a composed air bearing designed for the high speed spindle. The composed air bearing consists of orifice-type restrictors based on the aerostatic design principle and herringbone grooves based on the aerodynamic design principle. The static characteristic of the composed air bearing means that the transient characteristics of pressure distribution and the dynamic variation of the bearing gap are ignored.
A mathematic model including Renorld equation and the boundary conditions of the composed air bearing has been established. A finite difference method using the Alternating-Direction-Implicit method is then applied to obtain the discrete form of the mathematic model. The numerical analysis of the discrete model of the composed air bearing is based on the Alternating-Direction-Implicit method associated with the Successive-Over-Relaxations.
In this work, the characteristic of the pressure distribution, load capacity, stiffness and attitude angle of the composed air bearing under different spindle speed have been studied. Both the aerostatic and aerodynamic effects can be calculated based on the established model and numerical method. Parameters of the herringbone grooves such as the angle, length, and depth of the grooves were analyzed. Performance comparisons between the aerostatic bearing and composed air bearings were also studied.
目錄
中文摘要……………………...……………………….……...Ⅰ
英文摘要……………………………………………………………...Ⅱ
誌謝…………………………………………………………………....Ⅲ
目錄…………………………...………………………………Ⅳ
圖目錄………………………...……………………………ⅤⅡ
表目錄………………………...……………………………ⅩⅠ
符號說明……………………...……………………………ⅩⅡ
第一章緒論
1.1 前言…………………………………………...……….………1
1.2 空氣潤滑軸承與其他形式軸承比較………...……….………1
1.3 研究目的與動機及其困難點……………………….……..…3
1.4 研究方法與步驟…………………………….………………..5
1.5 文獻回顧…………………………………...…………………5
第二章空氣軸承簡介
2.1 空氣軸承種類………………………….……………….……..9
2.2 氣動壓軸承工作原理及結構形式…………..………………10
2.2.1 氣動壓軸承工作原理…………………….………….10
2.2.2 氣動壓軸承結構形式……………………….……….11
2.3 氣靜壓軸承、節流器工作原理及結構形式…………………13
2.3.1 氣靜壓軸承工作原理……………………….……….13
2.3.2 節流器種類及工作原理……………….…………….14
2.3.2.1 節流器結構種類……..……………………14
2.3.2.2 節流器工作原理…………………..………15
2.3.3 氣靜壓軸承結構形式………….…….………………17
2.4 人字形氣靜動壓混合軸承之工作原理…………...…...……17
第三章氣體靜動壓混合軸承之數學模型
3.1 廣義雷諾方程推導…………………...……………...………21
3.2 無因次分析及軸承性數……………………………..………24
3.3 人字形氣靜動壓混合軸承之雷諾方程………...…...………24
3.4 人字形氣靜動壓混合軸承邊界條件…………...…...………26
第四章有限差分數值模型
4.1 有限差分法及ADI法簡介……...……………………………34
4.1.1 有限差分法及基礎…………………..………………35
4.1.2 ADI(Alternating-Direction-Implicit) method
with SOR……………………………………………...37
4.2 雷諾方程線性化及差分化…………………………...….…..39
4.3 程式流程圖………………………….…………………….…41
第五章氣靜動壓混合軸承之設計參數與性能模擬分析
5.1 氣靜動壓混合軸承之概念設計………………….……….…44
5.2 人字形氣靜動壓混合軸承尺寸定義與設計參數依據…..…46
5.2.1 人字形氣靜動壓混合軸承尺寸定義………….……46
5.2.2 人字形氣靜動壓混合軸承設計參數依據………….46
5.3 人字形氣靜動壓混合軸承設計尺寸……………...………...47
5.4 氣體靜壓軸承靜態模擬結果討論…………………………..49
5.5 氣體靜動壓混合軸承靜態模擬結果討論…………...……...53
5.6 氣靜動壓混合軸承靜態偏位角模擬結果討論…………..…60
5.7 氣靜壓與氣靜動壓混合軸承靜態模擬比較結果討論……..64
第六章 結論與建議
6.1結論…………………………………………...………………70
6.2 未來研究方向建議……………………......…………………71
參考文獻………………………………………………………………72
參考文獻
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2. 方思巽,「氣靜壓主軸之軸承分析與設計」,中正大學,碩士論文,2000
3. 余鴻鈞,「流體動靜壓混合軸承極主軸」,河北科技技術出版社,1993
4. 党根茂,「氣體潤滑技術」,東南大學出版社,1990
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7. 謝正乾,「人字形氣體軸承負載能力之特性分析」,大同工學院,碩士論文,1993
8. B.C.MAJUMDAR,「On the General Solution of Externally Pressurized Gas Journal Bearing」,Journal of Lubrication Technology,pp.291~296,1972
9. Bernard J. Hamrock,「Fundamentals of Fluid Film Lubrication」,1994
10. D.Bonneau,J.Absi,Analysis of Aerodynamic Journal Bearings With Small Number of HerringBone Grooves by Finite Element Method,v106,p698~704, Transactions of the ASME,1994
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12. Dudley D. Fuller,「Theory and Practice of Lubrication for Engineers」,1984
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14. J.W.POWELL, 「 Design of Aerostatic Bearing」,The Machinery Publish,1970
15. Kazuhiro KINOUCHI,「Finite Element Analysis of Gas-Lubricated Grooved Journal Bearings(Analysy Method)」,JSME,Vol.39,pp.123~129,1996
16. S.Yoshimoto and A.Takahashi,「A Method of Reducing Windage Power Loss in a Laser Scanner Mirror by Using the Pumping Effect of Herringbone-Grooved Gas Journal Bearing」,Journal of Tribology,Vol.121,pp.506~509,1999
17. Takuji Kobayashi ,「Numerical Analysis of herringbone-grooved gas-lubricated journal bearings using mutigrid technique」,ASME,V121,p148~156
18. Vohr,J.H.,and Chow,C.Y., 「Characteristics of Herringbone Grooved Gas Lubricated Journal Bearings」,ASME Journal of Basic Engineering,Vol.87,pp.568~578,1965
19. Z.Kazimierski,「Investigation of Externally Pressurized Gas Bearings With Different Feeding System」,Journal of Lubrication Technology,pp.59~64,1980
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