本文針對各人字形溝槽設計參數與各操作參數進行液動潤滑分析，控制方程式包括雷諾氏方程式及在溝槽與屋脊間之階梯的體積流率相等之方程式，以有限差分法求解耦合的方程式，探討人字型溝槽設計參數對負荷能力、摩擦係數、油膜壓力與油膜勁度等潤滑性質的影響。數值結果顯示人字型軸承的油膜壓力隨偏心比增加而增加，但其增加率與最大油膜壓力小於普通軸承。人字型軸頸軸承幾乎無空蝕效應，其在發散區域之較小壓力分布恰好與楔形幾何產生的壓力相對立，因此造成其承受荷重能力會略為降低，尤其低偏心比時降幅更大。人字型溝槽軸頸軸承之荷重能力在溝槽角度33度到66度時達飽和值，並於此溝槽角度範圍摩擦係數最低。人字型軸頸軸承的油膜勁度較普通軸承小，且隨偏心比增加，兩者差距變大。

The design parameters of herringbone-grooved journal bearing (HGJB) are employed in the analysis of the hydrodynamic lubrication theory under different operating parameters in present study. The governing equations include Reynolds equation and the same volume flow rate at the step between the groove and the ridge. They are solved by the finite difference method. Effects of the design parameters of HGJB on lubricating properties, such as load capacity, friction coefficient, pressure and stiffness are investigated. Numerical results show that the film pressure of HGJB increases as the eccentricity ratio increases, but the increase rate and the maximum film pressure of HGJB are smaller than that of plain journal bearing (PJB). HGJB shows almost no cavitation effect. The smaller pressure distribution in this divergent region is just opposed to the pressure generated by the physical wedge, so that the load capacity decreases a little. At low eccentricity ratio, it decreases significantly. It reaches a saturation value at the groove angle between 33 to 66 degrees for HGJB, and its friction coefficient is the lowest in this range of the groove angle. The film stiffness of HGJB is less than that of PJB, and the difference between them increases along with the eccentricity ratio.

目錄
論文審定書 i
誌謝 ii
中文摘要 iii
英文摘要 iv
目錄 v
圖次 vii
表次 x
符號說明 xi
第一章 緒論 1
1.1 簡介 1
1.2 研究目的 3
1.3 文獻回顧 3
1.4 論文架構 12
第二章 研究方法及步驟 17
2.1 雷諾氏方程式（Reynolds Equation） 17
2.2 雷諾氏方程式之離散化（Reynolds Equation’s Discretization） 21
2.3 溝槽邊界之體積流率方程式（The Volume Flow Rate Equation at The Boundary of Groove） 24
第三章 結果與討論 31
3.1 與現有實體實驗結果比較 31
3.2 與現有理論模擬結果比較 31
3.3 人字型溝槽角度的最佳化參數 32
3.4 人字型溝槽深度比的最佳化參數 35
3.5 人字型溝槽寬度比的最佳化參數 35
3.6 人字型溝槽數目的最佳化參數 36
3.7 含人字型溝槽的軸頸軸承之液動潤滑分析 37
第四章 結論 71
參考文獻 72

參考文獻
【1】 陳榮一，具軸心歪斜之艉軸管後軸頸軸承的熱液動潤滑分析，國立中山大學機械與機電工程學系碩士論文。(2014) 1-2。
【2】 陳建佑，含溝槽液體動壓頸軸承之動態分析，國立台灣大學機械工程學研究所碩士論文。(2004) 4-5。
【3】 B. J. Hamrock, Fundamentals of Fluid Film Lubrication, McGraw-Hill, New York. (1994) 141-290 & 329-367.
【4】 D. D. Fuller, Theory and Practice of Lubrication for Engineers Second Edition, John Wiley & Sons, New York. (1984) 387-419.
【5】 R. T. Whipple, Herringbone Patten Thrust Bearing, Atomic Energy Establishment, Herwell. (1949).
【6】 J. H. Vohr, C. Y. Chow, Characteristics of Herringbone-Grooved, Gas-Lubricated Journal Bearings, Transactions of the ASME, Journal of Basic Engineering. (1965) 568-578.
【7】 G. G. Hirs, The Load Capacity and Stability Characteristics of Hydrodynamic Grooved Journal Bearings, ASLE Transactions. 8 (1965) 296-305.
【8】 C. Y. Chow, Helical-Grooved Journal Bearing Operated in Turbulent Regime, Transactions of the ASME, Journal of Lubrication Technology. (1970) 346-358.
【9】 J. Bootsma, Liquid-Lubricated Spiral-Groove Bearings, Philips Research Laboratories, Eindhoven. (1975) 187-188.
【10】 N. Kawabata, A Study on the Numerical Analysis of Fluid Film Lubrication by the Boundary-Fitted Coordinates System (The Case of Steady Gas-Lubrication), JSME International Journal, Series 3, 32(2) (1989) 281-288.
【11】 N. Kawabata, Static Characteristics of the Regular and Reversible Rotation Type Herringbone Grooved Journal Bearing, Transactions of the ASME, Journal of Tribology. 111 (1989) 484-490.
【12】 D. Bonneau, Analysis of Aerodynamic Journal Bearings with Small Number of Herringbone Grooves by Finite Element Method, Transactions of the ASME, Journal of Tribology. 116 (1994) 698-704.
【13】 J. Absi, Experimental Measuring of Velocity Profiles in Herringbone Grooved Journal Bearings, The Third Body Concept / D. Dowson et al. (Editors). (1996) 461-467.
【14】 K. Kang, A Study of the Oil-Lubricated Herringbone-Grooved Journal Bearing – Part1: Numerical Analysis, Transactions of the ASME, Journal of Tribology. 118 (1996) 906-911.
【15】 N. Zirkelback, Finite Element Analysis of Herringbone Groove Journal Bearings: A Parametric Study, Transactions of the ASME, Journal of Tribology. 120 (1998) 234-240.
【16】 T. Kobayashi, Numerical Analysis of Herringbone-Grooved Gas-Lubricated Journal Bearings Using a Multigrid Technique, Transactions of ASME, Journal of Tribology. 121 (1999) 148-156.
【17】 S. Yoshimoto, Pumping Characteristics of a Herringbone-Grooved Journal Bearing Functioning as a Viscous Vacuum Pump, ASME, Journal of Tribology. 122 (2000) 131-136.
【18】 G. H. Jang, Calculation of Dynamic Coefficients in a Hydrodynamic Bearing Considering Five Degrees of Freedom for a General Rotor-Bearing System, ASME, Journal of Tribology. 121 (1999) 499-505.
【19】 G. H. Jang, D. I. Chang, Analysis of a Hydrodynamic Herringbone Grooved Journal Bearing Considering Cavitation, Journal of Tribology, ASME. 122 (2000) 103-109.
【20】 G. H. Jang, J. W. Yoon, Nonlinear Dynamic Analysis of a Hydrodynamic Journal Bearing Considering the Effect of a Rotating or Stationary Herringbone Groove, Journal of Tribology, ASME. 124 (2002) 297-304.
【21】 G. H. Jang, J. W. Yoon, Stability Analysis of a Hydrodynamic Journal Bearing With Rotating Herringbone Grooves, Journal of Tribology, ASME. 125 (2003) 291-300.
【22】 T. V. V. L. N. Rao, Stability Characteristics of Herringbone Groove Journal Bearings Incorporating Cavitation Effects, Journal of Tribology, ASME. 126 (2004) 281-287.
【23】 T. Hirayama, A Theoretical Analysis Considering Cavitation Occurrence in Oil-Lubricated Spiral-Grooved Journal Bearings With Experimental Verification, Journal of Tribology, Transactions of the ASME. 126 (2004) 490-498.
【24】 T. Hirayama, N. Yamaguchi and S. Sakai, Optimization of Groove Dimensions in Herringbone-grooved Journal Bearings for Improved Repeatable Run-out Characteristics, Tribology International. 42 (2009) 675-681.
【25】 吳嘉和，含人字形溝槽液體動壓頸軸承應用於風扇之振動與噪音分析，台灣大學機械工程學研究所碩士論文。(2008)
【26】 M. Sahu, M. Sarangi, Thermo-hydrodynamic Analysis of Herringbone Grooved Journal Bearings, Tribology International. 39 (2006) 1395-1404.
【27】 J. M., Miao, B. H. Chang, and P. H. Chen, Numerical Predictions of a Flow Field in a Hydrodynamic Journal Bearing with Herringbone Microgrooves, Progress in Computational Fluid Dynamics. 8 (2008) 486-495.
【28】 邱冠智，水冷式散熱微型泵浦用動壓軸承之性能參數分析，先進工程學刊。第四卷，第四期。(2009) 337-344。
【29】 J. Liu, Analysis of Oil-lubricated Herringbone Grooved Journal Bearing with Trapezoidal Cross-section, Using a Spectral Finite Difference Method, 9th International Conference on Hydrodynamics, Shanghai. (2010) 11-15.
【30】 S. K. Chen, Stability Analysis of Hydrodynamic Bearing with Herringbone Grooved Sleeve, Tribology International. 55 (2012) 15-28.
【31】 J. Wan, A Numerical Study of Cavitation Foot-prints in Liquid-lubricated Asymmetrical Herringbone Grooved Journal Bearings, International Journal of Numerical Methods for Heat & Fluid Flow. 12(5) (2014) 518-540.
【32】 H. G. Elrod, A Cavitation Algorithm, ASME J. Lubr. Technol. 103(3) (1981) 350-354.
【33】 J., Mitsui, A study of thermohydrodynamic lubrication in a circular journal, Tribol. Int. 20(6) (1987) 331-341.