This paper deals with the error modeling and analysis of a 3-PPR planar parallel manipulator with joint clearances. The kinematics and the Cartesian workspace of the manipulator are analyzed. An error model is established with considerations of both configuration errors and joint clearances. Using this model, the upper bounds and distributions of the pose errors for this manipulator are established. The results are compared with experimental measurements and show the effectiveness of the error prediction model.

Issue Section:
Research Papers
Topics:
Errors, Manipulators, Modeling

References

1.
Ryu
,
J.
, and
Cha
,
J.
, 2003, “
Volumetric Error Analysis and Architecture Optimization for Accuracy of HexaSlide Type Parallel Manipulators
,”
Mech. Mach Theory
,
38
, pp.
227
–
240
.
Crossref
Search ADS
 
2.
Liu
,
H.
,
Huang
,
T.
, and
Chetwynd
,
D. G.
, 2011, “
A General Approach for Geometric Error Modeling of Lower Mobility Parallel Manipulators
,”
ASME J. Mech. Rob.
,
3
(
2
),
021013
.
Crossref
Search ADS
 
3.
Yu
,
A.
,
Bonev
,
I. A.
, and
Murray
,
P. Z.
, 2008, “
Geometric Approach to the Accuracy Analysis of a Class of 3-DOF Planar Parallel Robots
,”
Mech. Mach. Theory
,
43
, pp.
364
–
375
.
Crossref
Search ADS
 
4.
Briot
,
S.
, and
Bonev
,
I. A.
, 2010, “
Accuracy Analysis of 3T1R Fully-Parallel Robots
,”
Mech. Mach. Theory
,
45
, pp.
695
–
706
.
Crossref
Search ADS
 
5.
Lin
,
P. D.
, and
Chen
,
J. F.
, 1992, “
Accuracy Analysis of Planar Linkages by the Matrix Method
,”
Mech. Mach. Theory
,
35
, pp.
507
–
516
.
6.
Ting
,
K.
,
Zhu
,
J.
, and
Watkins
,
D.
, 2000, “
The Effects of Joint Clearance on Position and Orientation Deviation of Linkages and Manipulators
,”
Mech. Mach. Theory
,
35
, pp.
391
–
401
.
Crossref
Search ADS
 
7.
Fogarasy
,
A.
, and
Smith
,
M.
, 1998, “
The Influence of Manufacturing Tolerance on the Kinematic Performance of Mechanisms
,”
Proc. Inst. Mech. Eng. Part C: Mech. Eng. Sci.
,
212
, pp.
35
–
47
.
Crossref
Search ADS
 
8.
Lim
,
S. R.
,
Kang
,
K.
,
Park
,
S.
,
Choi
,
W. C.
,
Jae-Bok
,
S.
,
Hong
,
D.
, and
Shim
,
J. K.
, 2002, “
Error Analysis of a Parallel Mechanism Considering Link Stiffness and Joint Clearances
,”
J. Mech. Sci. Technol.
,
16
(
6
), pp.
799
–
809
.
9.
Castelli
,
V. P.
, and
Venanzi
,
S.
, 2005, “
Clearance Influence Analysis on Mechanisms
,”
Mech. Mach. Theory
,
40
, pp.
1316
–
1329
.
Crossref
Search ADS
 
10.
Venanzi
,
S.
, and
Castelli
,
V. P.
, 2005, “
A New Technique for Clearance Influence Analysis in Spatial Mechanisims
,”
ASME J. Mech. Des.
,
127
, pp.
446
–
455
.
Crossref
Search ADS
 
11.
Meng
,
J.
,
Zhang
,
D.
, and
Li
,
Z.
, 2009, “
Accuracy Analysis of Parallel Manipulators With Joint Clearance
,”
ASME J. Mech. Des.
,
131
,
011013
.
Crossref
Search ADS
 
12.
Binaud
,
N.
,
Cardou
,
P.
,
Caro
,
S.
, and
Wenger
,
P.
, 2010, “
The Kinematic Sensitivity of Robotic Manipulators to Joint Clearance
,” Proceedings of ASME Design Engineering Technical Conferences, Aug. 15–18, Montreal, QC, Canada.
13.
Binaud
,
N.
,
Caro
,
S.
,
Bai
,
S.
, and
Wenger
,
P.
, 2010, “
Comparison of 3-PPR Parallel Planar Manipulators Based on Their Sensitivity to Joint Clearances
,” Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Taipei, Oct. 18–22, pp.
2778
–
2783
.
14.
Wei
,
W.
, and
Simaan
,
N.
, 2010, “
Design of Planar Parallel Robots With Preloaded Flexures for Guaranteed Backlash Prevention
,”
ASME J. Mech. Rob.
,
2
(
1
),
011012
.
Crossref
Search ADS
 
15.
Carusone
,
J.
, and
D’Eleuterio
,
G. M.
, 1993, “
Tracking Control for End-Effector Position and Orientation of Structurelly Flexible Manipulators
,”
J. Rob. Syst.
,
10
(
6
), pp.
847
–
870
.
Crossref
Search ADS
 
16.
Zhuang
,
H.
, 1997, “
Self-Calibration of Parallel Mechanisms With a Case Study on Stewart Platforms
,”
IEEE Trans. Rob. Autom.
,
13
(
3
), pp.
387
–
397
.
Crossref
Search ADS
 
17.
Voglewede
,
P.
, and
Uphoff
,
I.
, 2004, “
Application of Workspace Generation Techniques to Determine the Unconstrained Motion of Parallel Manipulators
,”
ASME J. Mech. Des.
,
126
, pp.
283
–
290
.
Crossref
Search ADS
 
18.
Bai
,
S.
, and
Caro
,
S.
, 2009, “
Design and Analysis of a 3-PPR Planar Robot With U-Shape Base
,” Proceedings of 14th International Conference on Advanced Robotics,
Munich
,
Germany
, June 22–26.
19.
SMAC Product Catalog version 2009 on the WWW, at http://www.smac-mca.com/http://www.smac-mca.com/
20.
Caro
,
S.
,
Binaud
,
N.
, and
Wenger
,
P.
, 2009, “
Sensitivity Analysis of 3-RPR Planar Parallel Manipulators
,”
J. Mech. Des.
,
131
,
121005
.
Crossref
Search ADS
 
23.
International Standard, Manipulating Industrial Robots-Performance Criteria and Related Test Methods, ISO 9283: 1998.
24.
Douglas
,
C. M.
, 2009,
Design and Analysis of Experiments
, 7th ed.,
John Wiley & Sons
.
Copyright © 2012
 by American Society of Mechanical Engineers
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