非等向性滑移邊界條件在微觀情況下是不可忽視的因素之一，它將會改變表面的潤滑行為。在考慮非剛體情況下，材料的彈性變形量亦是重要的考慮因素，它將會影響到膜厚的部分。
本文中提出了含非等向性滑移邊界條件與彈性變形量的潤滑理論。利用具有正交滑移長度 之Navier滑移邊界條件以及流量因子法 來修正傳統的Reynolds方程式。並且在膜厚方程式中考慮彈性變形量 。
透過有限元素法求解穩態頸軸承之液動問題，得到不同變因（負載、滑移長度）之下的軸承性能結果（偏心比、膜厚分佈、壓力分佈、彈性變形量、姿態角、摩擦力矩、摩擦係數、空蝕區、流量修正因子、無因次剪切力）。與傳統求解頸軸承液動問題不同之處在於，本文是給定負載與負載方向求偏心比與姿態角。另外，本文有進行座標軸轉換，以配合真實工作環境。
最終結果表明，考慮彈性變形量後，會使偏心比增加、膜厚增加、空蝕區縮小。考慮非等向性滑移邊界條件後，會使偏心比增加。 方向滑移造成摩擦力矩減少； 方向滑移造成摩擦力矩增加。 方向滑移會降低彈性變形量； 方向滑移會增加彈性變形量。

An anisotropic slip boundary condition which will change the lubrication behavior of the surface is one of the factors that cannot be ignored at the microscopic scale. Considering the rigid body, the elastic deformation of the material is also an important factor that affects the distribution of the film thickness.
In this study, the lubrication theory with anisotropic slip boundary conditions and elastic deformation is proposed. The traditional Reynolds equation is modified using Navier slip boundary conditions with orthogonal slip length and flow factor method. Additionally, elastic deformation is considered in the film thickness equation.
The finite element method (FEM) is used to solve the hydrodynamic problem of journal bearings in asteady state. We can get the bearing performances (eccentricity ratio, film thickness distribution, film pressure distribution, elastic deformation, attitude angle, friction torque, coefficient of friction, cavitation area, and flow rate correctors) under the different variables (load, and slip length). The difference from the traditional models of the journal bearing hydrodynamic problem is that this study is solving the eccentricity ratio and attitude angle for a given load and load direction. In addition, this study has done coordinate transformation to cooperate with the real working environment.
The final result shows that considering the elastic deformation, the eccentricity ratio will increase, the film thickness will increase, and the cavitation zone will reduce. Considering the anisotropic slip boundary condition, the eccentricity ratio will increase. Slip in the x direction causes a reduction in the friction torque; slip in the y direction causes an increase in the friction torque. Slip in the x direction will reduce the elastic deformation; slip in the y direction will increase the elastic deformation.

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