While designing a screw compressor, the design of the rotor profiles is the most important because rotor profiles essentially determine the overall performance of the screw compressor. In the field of rotor design, the mutual solution of male and female rotors is characterized by shortcomings such as complex and error-prone calculation, and unsolvable interference. In this study, an edge detection method based on the Alpha Shape algorithm was proposed to avoid the complex calculation process in the traditional planar meshing theory and quickly obtain the point cloud data with singularity points removed. The results show that, with relatively high accuracy and fast processing speed, this algorithm can extract comparatively desirable edges so as to obtain data of the female (male) rotor profile based on the conjugate male (female) rotor profile. The analytical method and the experimental method were used to compare the data of the conjugate rotors, verifying the correctness of the design, which efficiently and highly accurately overcame the problems in mutual solution of male and female rotors. This method can also be applied to design similar conjugate products such as gears, worms, and milling cutters.

中文翻译：

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基于Alpha Shape算法的边缘检测方法求解螺杆压缩机转子共轭齿形

在设计螺杆压缩机时，转子轮廓的设计是最重要的，因为转子轮廓本质上决定了螺杆压缩机的整体性能。在转子设计领域，公母转子互解具有计算复杂易出错、干扰无法解决等缺点。本研究提出了一种基于Alpha Shape算法的边缘检测方法，避免了传统平面网格划分理论中复杂的计算过程，快速获取去除奇异点的点云数据。结果表明，该算法能够以较高的精度和较快的处理速度提取出较为理想的边缘，从而获得基于共轭公（母）转子轮廓的母（公）转子轮廓数据。采用解析法和实验法对共轭转子的数据进行了对比，验证了设计的正确性，有效且高精度地克服了公母转子互解的问题。这种方法也可用于设计类似的共轭产品，如齿轮、蜗杆和铣刀。