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Research Papers: Power Transmissions and Gearing

Theoretical and Experimental Analysis of a Cycloidal Speed Reducer

[+] Author and Article Information
Carlo Gorla1

Dipartimento di Meccanica, Politecnico di Milano, I-20156 Milano, Italycarlo.gorla@polimi.it

Franco Chiozzi

 CDS-Bettinelli F.Lli SPA, I-26010 Bagnolo Cremasco (CR), Italyfranco.chiozzi@bettinelli.it

Alessandro Samarani

 CDS-Bettinelli F.Lli SPA, I-26010 Bagnolo Cremasco (CR), Italyalessandro.samarani@bettinelli.it

Piermaria Davoli

Dipartimento di Meccanica, Politecnico di Milano, I-20156 Milano, Italypiermaria.davoli@polimi.it

Francesco Rosa

Dipartimento di Meccanica, Politecnico di Milano, I-20156 Milano, Italyfrancesco.rosa@polimi.it

Claudio Longoni

Dipartimento di Meccanica, Politecnico di Milano, I-20156 Milano, Italyclaudio.longoni@mecc.polimi.it

1

Corresponding author.

J. Mech. Des. 130(11), 112604 (Sep 30, 2008) (8 pages) doi:10.1115/1.2978342 History: Revised May 27, 2007; Received July 31, 2007; Published September 30, 2008

In this paper, a theoretical and experimental investigation on an innovative cycloidal speed reducer is presented. The typical cycloid drive has a planet wheel, the profile of which is the internal offset of an epitrochoid meshing with cylindrical rollers connected to the case. This reducer, on the contrary, has an external ring gear, the transverse profile of which is the external offset of an epitrochoid and engages with the planet wheel by means of cylindrical rollers. This paper investigates the structural characteristics and the kinematic principles of this type of reducer. A theoretical approach based on the theory of gearing (following Litvin’s approach) is developed and compared to a development of Blanche and Yang’s approach. Furthermore, a simplified procedure to calculate the force distribution on cycloid drive elements, its power losses, and theoretical mechanical efficiency is presented. The effects of design parameters on the values of forces are studied for an optimal design of this type of reducer. The theoretical model is tuned on the basis of the results of tests made on purpose. The mechanical efficiency dependency on speed and torque is described. The main aim of this work is to tune a theoretical model in order to predict the operating behavior of the cycloid drive and to improve its design procedure.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Typical structure of a cycloidal speed reducer

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Figure 2

Exploded view of a cycloidal speed reducer with an external ring gear and cylindrical rollers mounted on the planet wheel

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Figure 3

Location of the contact point P between the roller and ring gear

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Figure 4

Reference frames utilized for the generation of the ring gear profile

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Figure 5

The family of surfaces generated by a cylindrical roller and the profiles obtained from the two methods

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Figure 6

Contact forces among cyclo-reducer elements

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Figure 7

Force distribution on rollers and pins for a 3 nm input torque

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Figure 8

Section view of the cycloidal speed reducer used in the tests

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Figure 9

Cycloidal reducer on the test rig

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Figure 10

Reducer temperature during tests at 500 rpm

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