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Research Papers

# Modeling of the Meshing of Trochoidal Profiles With Clearances

[+] Author and Article Information
Lozica Ivanović

University of Kragujevac,Faculty of Engineering, 34000 Kragujevac, Serbialozica@kg.ac.rs

Goran Devedžić

University of Kragujevac,Faculty of Engineering, 34000 Kragujevac, Serbiadevedzic@kg.ac.rs

Saša Ćuković

University of Kragujevac,Faculty of Engineering, 34000 Kragujevac, Serbiacukovic@kg.ac.rs

J. Mech. Des 134(4), 041003 (Mar 06, 2012) (9 pages) doi:10.1115/1.4005621 History: Received April 21, 2011; Revised November 11, 2011; Published March 06, 2012; Online March 06, 2012

## 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.

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## Figures

Figure 4

Geometric relations used to determine the minimum clearance

Figure 3

Geometric relations used to determine the lag angle

Figure 2

Kinematic model of gearing pair with clearances

Figure 1

Basic geometric parameters of the gearing pair of trochoidal pump

Figure 9

Diagram of the lag angle change (a) and diagram of the gear ratio change (b) for the pump with planetary motion

Figure 10

Diagram of the lag angle change (a) and diagram of the gear ratio change (b) for the pump with fixed axes

Figure 5

Geometric relations used to determine the real pitch point

Figure 6

Change of minimum clearance height for the example in Ref. [20]

Figure 7

The first stage cycloid disc change of minimum clearance height during one rotation (left) and during one phase (right) for the gerotor pump with planetary motion: (a) λ = 1.375 and (b) λ = 1.57

Figure 8

Change of minimum clearance height during one rotation (left) and during one phase (right) for the gerotor pump with fixed axes: (a) λ = 1.375 and (b) λ = 1.575

## Errata

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