Abstract
The precision design of the screw rotor and the gate rotor is the foundation to promoting the operational reliability of a pp-type single-screw compressor. The purpose of the present paper is to determine the mathematical model of a single-screw rotor with conical gate rotors. A simple method by gear theory to determine the profiles of a screw rotor and a gate rotor have been studied. The mathematical model of the screw rotor is defined as the envelope to the family of gate rotor surfaces. As an example, the pp-type single-screw compressor for a compressor ratio of 11:6 is demonstrated with the aid of the proposed mathematical model. Based on the developed geometrical models, the contour of von Mises stress distributions of a screw rotor and four gate rotors on the proposed mechanism is presented. Using rapid prototyping (RP) and manufacturing technology, the proposed pp-type single-screw compressor with conical teeth of a gate rotor was designed. The RP primitives provide an actual full-size physical model that can be analyzed and used for further development. The results from these mathematical models should have practical applications in the design of pp-type single-screw mechanisms.
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