於本文中提出了適用於考慮潤滑劑的流變效應與固-液介面間粗糙度與非等向滑移條件的歪斜軸承之平均修正型雷諾方程式，並將其線性化以進行穩定性分析。除此之外，還分析了不同尺寸的元件對線性穩定性的影響。
透過有限元素法求解推導得到的穩態與動態方程式之後，得到不同變因之下(滑移方向與長度、流變效應的流量指數、粗糙度標準差與粗糙度型式、歪斜角度的大小與方向)負載與臨界質量的變化，在計算歪斜軸承的穩定性時，不同於以往，本文中考慮了微擾發生時對歪斜角度造成的變化，並以力矩的角度切入考慮其對線性穩定性的影響。
最終結果表明了不同細長比的軸承主導流的方向並不相同，而契合主導流的滑移方向與粗糙度型式將使液膜不易建立動壓，從而導致負載與臨界質量的下滑，而粗糙度的影響力隨著膜厚比的增加而減少。當流量指數大於一時，流體黏度承受剪應力時會上升，相反地，小於一時黏度將會下降，比較三種流體作為潤滑劑的表現，剪切致稠流體的負載與臨界質量皆大於牛頓流體，又大於剪切稀化流體。歪斜軸承的負載與臨界質量皆隨著歪斜角度的增加而增加，而且考慮軸心尺寸時，軸心尺寸越細長，臨界質量越低，不同軸心尺寸對臨界質量的影響隨著細長比增加而增加。

The average modified Reynolds equation (modified ARE) considering anisotropic slip boundary condition, roughness and rheology of misaligned journal bearing is derived in this study. The modified Reynolds equation and the motion equation are linearized about the equilibrium position to analyze the linear stability of the journal bearing system. From the derived equation above, the static and dynamic performance is obtained with various parameters. The change of misaligned angle induced by the perturbation is considered in this study, and it will be take into consideration with the viewpoint of moment when the stability of misaligned bearing is calculated.
The results show that the slip direction and roughness pattern which match the dominant flow will deteriorate the load and critical mass. So the effect of anisotropic slip and roughness are different with different slenderness ratio. The stability of the bearing system optimizes with increasing power-law index and the misaligned angle. The size of bearing shaft will affect the stability of misaligned journal bearing, the longer or more slender shaft is, the worse the stability. The effect of the shaft size is obvious when the slenderness ratio is higher.

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