Geometric Design Using Hypotrochoid and Nonundercutting Conditions for an Internal Cycloidal Gear

Author:

Hwang Yii-Wen1,Hsieh Chiu-Fan1

Affiliation:

1. Department of Mechanical Engineering, National Chung-Cheng University, 168 San-Hsing, Ming-Hsiung, Chia-Yi 621, Taiwan, R.O.C.

Abstract

This paper uses the theory of gearing to derive the mathematical model of an internal cycloidal gear with tooth difference. Whereas the outer rotor profile is based on a curve equidistant to a hypotrochoidal (or extended hypocycloid) curve, the inner rotor design generally depends upon type of use—e.g., when used as a speed reducer, it is a pin wheel. Therefore, this analysis proposes designs for both a gerotor and a speed reducer. Specifically, for an inner rotor used as a gerotor pump, it outlines a mathematical model to improve pump efficiency and derives a dimensionless equation of nonundercutting. For the speed reducer, it develops and demonstrates with numerical examples, a feasible design region without undercutting on the tooth profile or interference between the adjacent pins.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference12 articles.

1. The Mathematical Model of Gerotor Pump Applicable to Its Characteristic Study;Tsay;J. Chin. Soc. Mech. Eng.

2. Design and Application Guidelines for Cycloid Drives with Machining Tolerances;Yang;Mech. Mach. Theory

3. The Effect of the Generating Pin Size and Placement on the Curvature and Displacement of Epitrochoidal Gerotors;Beard;Mech. Mach. Theory

4. Geometry for Trochoidal-Type Machines with Conjugate Envelopes;Shung;Mech. Mach. Theory

5. Non-undercutting Conditions in Internal Gears;Mimmi;Mech. Mach. Theory

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