摘 要

本研究提出線接觸彈液動潤滑油膜缺乏預測模型，包含缺油、完全浸沒與過浸沒邊界預測，並分析預進口區之潤滑油膜以克服目前大部分缺油模型於半月形進口端位置出現之油膜不連續現象。
首先建立供油端之油膜厚度與半月形進口端位置之關係，並探討完全浸沒條件下供油端之最小油膜厚度與負荷和轉速之關係，並建立固定流量下缺油與否之預測公式。
預進口區之分析，利用預進口區內表面速度、壓力與質量流率皆與供油區和壓力區連續相接，並由質量流率守恆計算預進口區油膜厚度。然而，經由壓力區進口端位置之流場分析，發現當壓力區進口端位置有回流狀況時，預進口區部分油膜內部僅進行自我回流而未流入壓力區。當壓力區進口端位置無回流狀況時，預進口區油膜厚度能夠順利攀升並與壓力區連續相接。
當增加供油區之供油量，供油端之表面速度將逐漸降低。若當供油端油膜厚度增為完全浸沒之最小油膜厚度兩倍時，供油端表面速度恰為零，因此當繼續增加供油端油膜厚度至超過其兩倍時，在供油端表面會產生回流，稱為過浸沒。

Abstract
This study proposes a model to predict the effect of lubricant starvation on EHL behavior of line contact, including the boundaries among the starved, fully flooded, and over-flooded lubrications. A pre-inlet region is analyzed to overcome the discontinuous phenomenon of film thickness at the position of the meniscus presented in the previous model under the starvation.
The relationship between the film thickness of the supply region and the position of the meniscus is established. The prediction formulas for the minimum film thickness required to achieve the fully flooded condition is expressed in terms of the load and the speed. This formula can be used to predict the fully flooded/starved boundary under certain of flow rate in the supply end.
In the analysis of the pre-inlet region, the surface speed, the pressure and the mass flow rate are assumed to be continuous with the supply region and the pressure region, so that its film thickness can be calculated by the mass flow rate equation. However, when the backflow occurs in the boundary between the pre-inlet and pressure region, only part of the film thickness flows into the pressure region, and the rest film only performs recirculation. When no backflow is observed at this boundary, the film thickness in the pre-inlet region easily rises and continuously connects to the pressure region.
If the film thickness in the supply end is increased, the surface speed gradually decreases at the inlet end of the pre-inlet region. When the film thickness in the supply end increases to twice as high as the minimum film thickness that required to achieve the fully flooded condition, the surface speed at the inlet end of the pre-inlet region becomes stationary. Hence, when the film thickness in the supply end continues to increase to more than twice, the backflow occurs at the supply region, and this behavior is called the over-flooded lubrication.

目 錄
學位論文審定書 i
誌謝 ii
中文摘要 iii
英文摘要 iv
目錄 vi
圖次 ix
表次 xiii
符號說明 xiv

第一章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 研究目的 13
1.4 論文架構 16
第二章 理論分析 17
2.1 壓力區 17
2.1.1 雷諾方程式 17
2.1.2 油膜厚度方程式 19
2.1.3 負荷平衡方程式 22
2.1.4 流線方程式 22
2.2 預進口區解析解 23
2.2.1 半膜自由表面 23
2.2.2 半膜具表面速度 25
2.2.3 壓力連續關係 26
2.2.4 回流判斷方程式 28
2.3 預進口數值解 29
2.4 供油區 30
2.5 潤滑劑黏度與密度 30
第三章 數值方法 31
3.1 無因次群 31
3.2 壓力區 33
3.2.1雷諾方程式 33
3.2.2油膜厚度方程式 34
3.2.3負荷平衡方程式 34
3.2.4流線方程式 34
3.2.5修正之牛頓-瑞佛森法 35
3.3 預進口區解析解 36
3.4回流判斷方程式 37
3.5預進口區數值解 37
第四章 結果與討論 38
4.1 進口位置與缺油之關係 38
4.2 轉速與缺油之關係 41
4.2.1不同負荷下轉速與缺油之關係 43
4.3 缺油潤滑之邊界 46
4.3.1完全浸沒條件所需之油量 46
4.3.2完全浸沒與缺油之邊界 47
4.4 預進口區流場分析-解析解 48
4.4.1壓力區進口端位置有回流 48
4.4.2壓力區進口端位置無回流 54
4.5 預進口區解析解與數值解比較 59
4.6 預進口區各種效應探討 61
4.7 供油區供油量影響 67
第五章 結論與未來展望 75
參考文獻 77

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