Modeling of the Meshing of Trochoidal Profiles With Clearances

Author:

Ivanović Lozica1,Devedžić Goran1,Ćuković Saša1,Mirić Nenad2

Affiliation:

1. University of Kragujevac,Faculty of Engineering, 34000 Kragujevac, Serbia

2. Clorox, 101 John Street, Orangeville, ON L9W 2R1, Canada

Abstract

This paper explains development of the general mathematical model of trochoidal gearing that can be applied for gerotor pumps and cyclo reducers. The model analyzes geometry and physics of the gearing pair in trochoidal pump where the outer gear has one tooth more than the inner gear. The inner gear profile is described by peritrochoid equidistance and the outer gear profile by circular arc. Mathematical model of gearing with clearances is based on the principle of an ideal profile development. Minimum clearance height between teeth profiles in relation to instantaneous gear ratio is determined. The influence of gear profile geometrical parameters on gearing process, clearance height change, and pulsation of drive moment is analyzed and presented in numerical examples. Obtained results can be used for the design of the trochoidal gearing where accurate and silent operation is required.

Publisher

ASME International

Subject

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

Reference31 articles.

1. Vakuumpumpen nach dem Kreiskolbenprinzip;Wutz;VDI Z.

2. Sonderformen der Zykloidenverzahnung;Lehman;Konstruktion

3. The Geometry of Trochoid Envelopes and Their Application in Rotary Pumps;Colbourne;Mech. Mach. Theory

4. Reduction of the Contact Stress in Internal Gear Pumps;Colbourne;J. Eng. Ind., Trans. ASME, Series B

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