本文運用空氣軸承氣浮原理與有限差分法建構了圓形及方形氣靜壓平面軸承的數學模型，並透過分析氣靜壓平面軸承的壓力分佈，了解平面軸承設計參數經由平面軸承的壓力分佈到平面軸承能力值的關係，並以多種最佳化設計方法對氣靜壓平面軸承的設計參數進行最佳化分析，包括田口品質分析、基因遺傳演算法及灰關聯分析，並比較各最佳化方法及混合式最佳化方法的結果，最後以結合混合式田口基因演算法(HTGA)與灰關聯分析的最佳化方法，簡稱灰關聯式田口基因法(HTGA/Gray)，找出具有高承載力、高剛性及高均勻壓力分佈的氣靜壓平面軸承。並針對實際應用可行的需求考量，改善並修正模擬的結果。
最後對本文所使用的灰關聯式田口基因法未來可改進的地方及氣靜壓平面軸承未來可應用的場合提出建議。

The objectives of the thesis are to design aerostatic bearings with high loading capacities, high stiffness and uniformly pressure distribution. The mathematic model of circular form aerostatic bearing and square form aerostatic has built by applying the finite difference method. Then by analysis the pressure distribution of aerostatic bearing, to understand the relationship from design parameters of aerostatic bearing to aerostatic bearing abilities. And applying optimal theories and analysis method such as Taguchi Method, Genetic Algorithm and Grey Analysis to find optimal parameters of aerostatic bearings. In this study, the combined optimal method of Hybrid Taguchi-Genetic Algorithm(HTGA) and Gray Analysis, HTGA/Gray, can optimize the design parameters of aerostatic bearings, let the aerostatic bearing can reach the object of high loading capacity, high stiffness and uniformly pressure distribution.
Finally, A feasible application of aerostatic bearings and suggestions of combined optimal method is taken.

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