Abstract

This paper describes an experimental and theoretical approach to evaluate cycloid drive reducer efficiency. The tests are carried out on 7.5 kW two-disc cycloid drive with a gear ratio of 19. The torque and speed are measured on the input and output shaft. The efficiency is calculated based on the obtained results. The main goal of the second part of the study is to deduce equations of cycloid reducer in order to predict and analyze experimental results. In this way, the following points are set for the simulation: a working condition in which the input speed and the output load are imposed; then, the output speed is determined by the gear ratio, and finally, the input torque is obtained by solving the dynamic problem. A new model for cycloidal reducers is proposed. This model is based on kinematics and dynamics of rigid bodies and a non-linear stiffness based on contact dynamics. The overall elasticity effects are all condensed between the input shaft and the cycloidal disk. The proposed model allows to predict the efficiency for several operational conditions and offer a drastic reduction of computational costs suitable for the optimization process.

References

References
1.
Mackic
,
T.
,
Blagojevic
,
M.
,
Babic
,
Z.
, and
Kostic
,
N.
,
2013
, “
Influence of Design Parameters on Cyclo Drive Efficiency
,”
J. Balkan Tribol. Assoc.
,
19
(
4
), pp.
167
179
.
2.
Blagojevic
,
M.
,
Kocic
,
N.
,
Marjanovic
,
M.
,
Stojanovic
,
B.
,
Dordevic
,
Z.
,
Ivanovic
,
L.
, and
Marjanovic
,
N.
,
2012
, “
Influence of the Friction on the Cycloidal Speed Reducer Efficiency
,”
J. Balkan Tribol. Assoc.
,
18
(
2
), pp.
217
227
.
3.
Blagojevic
,
M.
,
Nikolic-Stanojevic
,
V.
,
Marjanovic
,
N.
, and
Veljovic
,
L.
,
2006
, “
Analysis of Cycloid Drive Dynamic Behavior
,”
Sci. Tech. Rev.
,
LIV
(
1
), pp.
23
29
.
4.
Shin
,
J.-H.
, and
Kwon
,
S.-M.
,
2006
, “
On the Lobe Profile Design in a Cycloid Reducer Using Instant Velocity Center
,”
Mech. Mach. Theory.
,
41
(
4
), pp.
167
179
.
5.
Barone
,
S.
,
Borgianni
,
L.
, and
Forte
,
P.
,
2004
, “
Evaluation of the Effect of Misalignment and Profile Modification in Face Gear Drive by a Finite Element Meshing Simulation
,”
ASME J. Mech. Des.
,
126
(
5
), pp.
916
924
. 10.1115/1.1767818
6.
Chen
,
B.
,
Zhong
,
H.
,
Liu
,
J.
,
Li
,
C.
, and
Fang
,
T.
,
2012
, “
Generation and Investigation of a New Cycloid Drive With Double Contact
,”
Mech. Mach. Theory.
,
49
(
Mar.
), pp.
270
283
. 10.1016/j.mechmachtheory.2011.10.001
7.
Hwang
,
Y.-W.
, and
Hsieh
,
C.-F.
,
2007
, “
Determination of Surface Singularities of a Cycloidal Gear Drive With Inner Meshing
,”
Math. Comput. Model.
,
45
(
4
), pp.
340
354
. 10.1016/j.mcm.2006.05.010
8.
Sun
,
X.
,
Han
,
L.
, and
Wang
,
J.
,
2019
, “
Tooth Modification and Loaded Tooth Contact Analysis of China Bearing Reducer
,”
P I Mech. Eng. C-J. Mec.
https://doi.org/10.1177/0954406219858184
9.
Borislavov
,
B.
,
Borisov
,
I.
, and
Panchev
,
V.
,
2012
, Design of a Planetary Cyclo Drive Speed Reducer, Cycloid Stage, Geometry, Element Analyses, Dissertation, http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19635
10.
Larsson
,
E.
,
2013
, “
Optimising a Cyclo Drive
,” Ph.D. thesis,
Lund University and Borg Warne
,
Sweden
.
11.
Malhotra
,
S.
, and
Parameswaran
,
M.
,
1983
, “
Analysis of a Cycloid Speed Reducer
,”
Mech. Mach. Theory.
,
18
(
6
), pp.
491
499
. 10.1016/0094-114X(83)90066-6
12.
Olejarczyk
,
K.
,
Wikło
,
M.
, and
Kołodziejczyk
,
K.
,
2019
, “
The Cycloidal Gearbox Efficiency for Different Types of Bearings-Sleeves vs. Needle Bearings
,”
P I Mech. Eng. C-J. Mec.
https://doi.org/10.1177/0954406219859903
13.
Gorla
,
C.
,
Davoli
,
P.
,
Rosa
,
F.
,
Longoni
,
C.
,
Chiozzi
,
F.
, and
Samaran
,
A.
,
2008
, “
Theoretical and Experimental Analysis of a Cycloidal Speed Reducer
,”
ASME J. Mech. Des.
,
130
(
11
), p.
112604
.
14.
Hsieh
,
C.-F.
, and
Fuentes-Aznar
,
A.
,
2019
, “
Performance Prediction Method of Cycloidal Speed Reducers
,”
J. Brazilian Soc. Mech. Sci. Eng.
,
41
(
4
), p.
186
. 10.1007/s40430-019-1690-2
15.
Sensinger
,
J.
,
2006
, “
Unified Approach to Cycloid Drive Profile, Stress, and Efficiency Optimization
,”
ASME J. Mech. Des.
,
132
(
2
), pp.
916
924
.
16.
Xu
,
L.
, and
Yang
,
Y.
,
2016
, “
Dynamic Modeling and Contact Analysis of a Cycloid-Pin Gear Mechanism with a Turning Arm Cylindrical Roller Bearing
,”
Mech. Mach. Theory
,
104
(
Oct.
), pp.
327
349
. 10.1016/j.mechmachtheory.2016.06.018
17.
Hsieh
,
C.
,
2014
, “
Dynamics Analysis of Cycloidal Speed Reducers With Pinwheel and Nonpinwheel Designs
,”
ASME J. Mech. Des.
,
139
(
9
), p.
091008
.
18.
Huang
,
C.
, and
Tsai
,
S.
,
2017
, “
A Study on Loaded Tooth Contact Analysis of a Cycloid Planetary Gear Reducer Considering Friction and Bearing Roller Stiffness
,”
J. Adv. Mech. Des. Syst. Manuf.
,
11
(
6
), pp.
11
23
.
19.
Li
,
X.
,
Li
,
C.
,
Wang
,
Y.
,
Chen
,
B.
, and
Limand
,
T. C.
,
2017
, “
Analysis of a Cycloid Speed Reducer Considering Tooth Profile Modification and Clearance-Fit Output Mechanism
,”
ASME J. Mech. Des.
,
139
(
3
), p.
033303
. 10.1115/1.4035541
20.
Harris
,
T.
,
2006
,
Rolling Bearing Analysis
,
Wiley-Interscience Publication
,
New York
.
21.
Palmgren
,
A.
,
1959
,
Ball and Roller Bearing Engineering
,
SKF Industries, Inc
,
Philadelphia
.
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