Non-undercutting Conditions for Small Rotor in Cycloid Rotor Pump
Chen Chuan-ming
Abstract
Chen Chuan-ming
Abstract
Simple explicit expressions for calculating the limit dimensions to avoid undercutting on the tooth profile of the small rotor in cycloid rotor pump are derived first time in this paper.Undercutting on the tooth profile of the small rotor is avoided by calculating and controlling the maximum curvature radius of the tooth profile of the small rotor on convex section.An ingenious method is used to derive simple formula for calculating both the curvature radius and the maximum curvature radius of the tooth profile of the small rotor.By letting the maximum radius of curvature to be zero,simple explicit expressions for calculating the limit dimensions are derived to avoid undercutting on the tooth profile of the small rotor.
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Simple explicit expressions for calculating the limit dimensions to avoid undercutting on the tooth profile of the small rotor in cycloid rotor pump are derived first time in this paper.Undercutting on the tooth profile of the small rotor is avoided by calculating and controlling the maximum curvature radius of the tooth profile of the small rotor on convex section.An ingenious method is used to derive simple formula for calculating both the curvature radius and the maximum curvature radius of the tooth profile of the small rotor.By letting the maximum radius of curvature to be zero,simple explicit expressions for calculating the limit dimensions are derived to avoid undercutting on the tooth profile of the small rotor.
Key concepts: Cycloid, Rotor (electric), Curvature, RADIUS, Limit (mathematics), Radius of curvature, Mathematics, Control theory (sociology)