單螺桿壓縮機(Single screw compressor, SSC)是由一單螺桿轉子及與其嚙合之兩星輪(Star wheel)在密閉機殼中運轉，達到吸氣、壓縮及排氣功能，現今已廣泛應用於空調製冷、國防軍事領域。然而星輪齒面易磨損、製造困難及加工精度低等因素，往往是此種壓縮機待解決之問題。有鑑於此，本文建立單螺桿轉子對之齒面創成數學模型，產生直線包絡嚙合對(Line envelope meshing pair, LEMP)與圓柱包絡嚙合對(Column envelope meshing pair, CEMP)的嚙合齒面，並提出提升星輪齒面接觸面域之最佳化方法，以改善單螺桿壓縮機之磨耗情形。為了找出單螺桿轉子對之最佳設計參數，本研究透過均勻設計法(Uniform design)和ISIGTH軟體建立徑向基函數(Radial basis function, RBF)之近似模型，以探討控制因子對於接觸面域之影響；接著，基於RBF模型以內點懲罰函數法進行最佳化，並比較最佳化前後接觸面域之改善程度。此外，根據單螺桿轉子對幾何模型建立相對應加工刀具之數學模型，並經由泛用加工座標系統與CNC加工機台座標系統之加工運動一致性，推導出各加工軸運動方程式，亦透過VERICUT軟體進行虛擬CNC機台切削模擬，最後確認數值計算結果與切削模擬結果是否吻合，以驗證本文提出理論模型之正確性。;A single screw compressor (SSC) comprises a main screw rotor and two star wheels. It is widely used in many fields, including air compression, refrigeration and defense industry. However, the factors such as the abrasion on the star wheel teeth, difficulty in manufacturing and low-accuracy in machining process are often an important issue to be solved. This study establishes a mathematical model to design geometries of the main screw rotor and the star wheels. The design methods of line envelope meshing pair (LEMP) and column envelope meshing pair (CEMP) are developed. A numerical method is proposed to enhance the contact area and improve the tooth wear problem. Moreover, this study aims to propose a novel manufacturing method for star wheels and main screw rotor of single screw compressors based on a CNC machine with the cutter. The geometric models of two kinds of rotors and the cutter design are constructed firstly, and then the rotor profiles are generated by the cutter according to a relative motion coordinate system established based on the novel CNC machine. The motion equation of each machining axis is derived for cutting the line- and column-sided tooth profiles of star wheels and main screw rotor. In addition, the cutting simulations are performed and the normal profile deviation of tooth side profile for two rotors is analyzed to verify the effectivity of the proposed theoretical models.
