Abstract

Parameters optimization is complicated by various parameters and nonlinear design problems. In this paper, the interaction mechanism of motion/force transmissibility and various parameters on normalized motor torque and speed of a four degrees-of-freedom (4-DOF) high-speed parallel robot is analyzed. Based on this interaction mechanism, evaluation indices of acceleration capacity, speed ability, and adept cycle time are proposed. Through combining these indices with task requirements and technical criteria of driving systems, the technology-oriented constraints are set up and a parameter optimization method is proposed. With this method, the dimensional parameters, driving system specifications, and work pose of the robot have been synchronously optimized to ensure low driving torque and high pick-and-place frequency. This synchronous optimal design method is general and can be further applied to parameter optimization for different types of parallel robots.

References

References
1.
Marlow
,
K.
,
Isaksson
,
M.
,
Dai
,
J. S.
, and
Nahavandi
,
S.
,
2016
, “
Motion/Force Transmission Analysis of Parallel Mechanisms With Planar Closed-Loop Subchains
,”
ASME J. Mech. Des.
,
138
(
6
), p.
062302
. 10.1115/1.4033338
2.
Fu
,
J.
, and
Gao
,
F.
,
2016
, “
Optimal Design of a 3-Leg 6-DOF Parallel Manipulator for a Specific Workspace
,”
Chin. J. Mech. Eng.
,
29
(
4
), pp.
659
668
. 10.3901/CJME.2016.0121.011
3.
Aginaga
,
J.
,
Iriarte
,
X.
,
Plaza
,
A.
, and
Mata
,
V.
,
2018
, “
Kinematic Design of a New Four Degree-of-Freedom Parallel Robot for Knee Rehabilitation
,”
ASME J. Mech. Des.
,
140
(
9
), p.
092304
. 10.1115/1.4040168
4.
Xie
,
F. G.
, and
Liu
,
X. J.
,
2015
, “
Design and Development of a High-Speed and High-Rotation Robot With Four Identical Arms and a Single Platform
,”
ASME J. Mech. Rob.
,
7
(
4
), p.
041015
. 10.1115/1.4029440
5.
Wu
,
J.
,
Chen
,
X.
, and
Wang
,
L.
,
2016
, “
Design and Dynamics of a Novel Solar Tracker with Parallel Mechanism
,”
IEEE/ASME Trans. Mechatron.
,
21
(
1
), pp.
88
97
. 10.1109/tmech.2015.2446994
6.
Lou
,
Y.
,
Zhang
,
Y.
,
Huang
,
R.
,
Chen
,
X.
, and
Li
,
Z.
,
2014
, “
Optimization Algorithms for Kinematically Optimal Design of Parallel Manipulators
,”
IEEE Trans. Autom. Sci. Eng.
,
11
(
2
), pp.
574
584
. 10.1109/TASE.2013.2259817
7.
Isaksson
,
M.
,
2017
, “
Kinematically Redundant Planar Parallel Mechanisms for Optimal Singularity Avoidance
,”
ASME J. Mech. Des.
,
139
(
4
), p.
042302
. 10.1115/1.4035677
8.
Merlet
,
J. P.
,
2006
,
Parallel Robots
,
Springer Science & Business Media
,
Berlin
.
9.
Liu
,
S.
,
Huang
,
T.
,
Mei
,
J.
,
Zhao
,
X.
,
Wang
,
P.
, and
Chetwynd
,
D. G.
,
2012
, “
Optimal Design of a 4-DOF SCARA Type Parallel Robot Using Dynamic Performance Indices and Angular Constraints
,”
ASME J. Mech. Rob.
,
4
(
3
), p.
031005
. 10.1115/1.4006743
10.
Huang
,
T.
,
Liu
,
S.
,
Mei
,
J.
, and
Chetwynd
,
D. G.
,
2013
, “
Optimal Design of a 2-Dof Pick-and-Place Parallel Robot Using Dynamic Performance Indices and Angular Constraints
,”
Mech. Mach. Theory
,
70
, pp.
246
253
. 10.1016/j.mechmachtheory.2013.07.014
11.
Briot
,
S.
,
Pashkevich
,
A.
, and
Chablat
,
D.
,
2010
, “
Optimal Technology-Oriented Design of Parallel Robots for High-Speed Machining Applications
,”
Proceedings of IEEE International Conference on Robotics and Automation
,
Anchorage, AK
,
May 3–8
, pp.
1155
1161
.
12.
Pierrot
,
F.
,
Nabat
,
V.
,
Company
,
O.
,
Krut
,
S.
, and
Poignet
,
P.
,
2009
, “
Optimal Design of a 4-DOF Parallel Manipulator: From Academia to Industry
,”
IEEE Trans. Rob.
,
25
(
2
), pp.
213
224
. 10.1109/TRO.2008.2011412
13.
Xie
,
F. G.
,
Liu
,
X. J.
,
Wang
,
J. S.
, and
Wabner
,
M.
,
2017
, “
Kinematic Optimization of a Five Degrees-of-Freedom Spatial Parallel Mechanism with Large Orientational Workspace
,”
ASME J. Mech. Rob.
,
9
(
5
), p.
051005
. 10.1115/1.4037254
14.
Gosselin
,
C.
, and
Angeles
,
J.
,
1989
, “
The Optimum Kinematic Design of a Spherical Three-Degree-of-Freedom Parallel Manipulator
,”
ASME J. Mech. Des.
,
111
(
2
), pp.
202
207
. 10.1115/1.3258984
15.
Ma
,
O.
, and
Angeles
,
J.
,
1990
, “
The Concept of Dynamics Isotropy and Its Applications to Inverse Kinematics and Trajectory Planning
,”
Proceedings of IEEE International Conference on Robotics and Automation
,
San Francisco, CA
,
May 13–18
, pp.
481
486
.
16.
Asada
,
H.
,
1983
, “
A Geometrical Representation of Manipulator Dynamics and Its Application to Arm Design
,”
ASME J. Dyn. Syst. Meas. Contr.
,
105
(
3
), pp.
131
135
. 10.1115/1.3140644
17.
Yoshikawa
,
T.
,
1985
, “
Manipulability of Robotic Mechanisms
,”
Int. J. Rob. Res.
,
4
(
2
), pp.
3
9
. 10.1177/027836498500400201
18.
Yoshikawa
,
T.
,
1985
, “
Dynamic Manipulability of Robot Manipulators
,”
Proceedings of IEEE International Conference on Robotics and Automation
,
St. Louis, MO
,
Mar. 25–28
, pp.
1033
1038
.
19.
Choi
,
H. B.
,
Konno
,
A.
, and
Uchiyama
,
M.
,
2010
, “
Design, Implementation, and Performance Evaluation of a 4-DOF Parallel Robot
,”
Robotica
,
28
(
1
), pp.
107
118
. 10.1017/S0263574709005621
20.
Cao
,
W.
,
Xu
,
S.
,
Rao
,
K.
, and
Ding
,
T.
,
2019
, “
Kinematic Design of a Novel Two Degree-of-Freedom Parallel Mechanism for Minimally Invasive Surgery
,”
ASME J. Mech. Des.
,
141
(
10
), p.
104501
. 10.1115/1.4043583
21.
Bowling
,
A.
, and
Khatib
,
O.
,
2005
, “
The Dynamic Capability Equations: a New Tool for Analyzing Robotic Manipulator Performance
,”
IEEE Trans. Rob.
,
21
(
1
), pp.
115
123
. 10.1109/TRO.2004.837243
22.
Merlet
,
J. P.
,
2006
, “
Jacobian, Manipulability, Condition Number and Accuracy of Parallel Robots
,”
ASME J. Mech. Des.
,
128
(
1
), pp.
199
206
. 10.1115/1.2121740
23.
Wang
,
J. S.
,
Liu
,
X. J.
, and
Wu
,
C.
,
2009
, “
Optimal Design of a New Spatial 3-DOF Parallel Robot with Respect to a Frame-Free Index
,”
Sci. China Ser. E: Technol. Sci.
,
52
(
4
), pp.
986
999
. 10.1007/s11431-008-0305-4
24.
Xu
,
L. M.
,
Chen
,
Q. H.
,
He
,
L. Y.
, and
Li
,
Q. C.
,
2017
, “
Kinematic Analysis and Design of a Novel 3T1R 2-(PRR)2RH Hybrid Manipulator
,”
Mech. Mach. Theory
,
112
, pp.
105
122
. 10.1016/j.mechmachtheory.2017.01.009
25.
Han
,
G.
,
Xie
,
F. G.
, and
Liu
,
X. J.
,
2018
, “
Evaluation of the Power Consumption of a High-Speed Parallel Robot
,”
Front. Mech. Eng.
,
13
(
2
), pp.
167
178
. 10.1007/s11465-017-0456-8
26.
Mansouri
,
I.
, and
Ouali
,
M.
,
2009
, “
A New Homogeneous Manipulability Measure of Robot Manipulators, Based on Power Concept
,”
Mechatronics
,
19
(
6
), pp.
927
944
. 10.1016/j.mechatronics.2009.06.008
27.
Kühne
,
M.
,
Potzy
,
J.
,
García-Rochín
,
R.
,
Van der Smagt
,
P.
, and
Peer
,
A.
,
2017
, “
Design and Evaluation of a Haptic Interface With Octopod Kinematics
,”
IEEE/ASME Trans. Mechatron.
,
22
(
5
), pp.
2091
2101
. 10.1109/TMECH.2017.2742581
28.
Wu
,
J.
,
Zhang
,
B.
, and
Wang
,
L.
,
2016
, “
A Measure for Evaluation of Maximum Acceleration of Redundant and Non-Redundant Parallel Manipulators
,”
ASME J. Mech. Rob.
,
8
(
2
), p.
021001
. 10.1115/1.4031500
29.
Liu
,
X. J.
,
Han
,
G.
,
Xie
,
F. G.
, and
Meng
,
Q.
,
2018
, “
A Novel Acceleration Capacity Index Based on Motion/Force Transmissibility for High-Speed Parallel Robots
,”
Mech. Mach. Theory
,
126
, pp.
155
170
. 10.1016/j.mechmachtheory.2018.03.013
30.
Wang
,
J. S.
,
Wu
,
C.
, and
Liu
,
X. J.
,
2010
, “
Performance Evaluation of Parallel Manipulators: Motion/Force Transmissibility and Its Index
,”
Mech. Mach. Theory
,
45
(
10
), pp.
1462
1476
. 10.1016/j.mechmachtheory.2010.05.001
31.
Liu
,
X. J.
,
Wu
,
C.
, and
Wang
,
J. S.
,
2012
, “
A New Approach for Singularity Analysis and Closeness Measurement to Singularities of Parallel Manipulators
,”
ASME J. Mech. Rob.
,
4
(
4
), p.
041001
. 10.1115/1.4007004
32.
Meng
,
Q. Z.
,
Xie
,
F. G.
,
Liu
,
X. J.
, and
Takeda
,
Y.
,
2018
, “
Extension of Motion/Force Transmission Index to Parallel Manipulators with Double Platforms-Case Study on the Par4 Manipulator
,”
Proceedings of International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Quebec, Canada
,
Aug. 26–29
.
33.
Flocker
,
F. W.
, and
Bravo
,
R. H.
,
2016
, “
On Global Convergence in Design Optimization Using the Particle Swarm Optimization Technique
,”
ASME J. Mech. Des.
,
138
(
8
), p.
081402
. 10.1115/1.4033727
34.
Liu
,
X. J.
,
Wang
,
J. S.
, and
Pritschow
,
G.
,
2006
, “
Performance Atlases and Optimum Design of Planar 5R Symmetrical Parallel Mechanisms
,”
Mech. Mach. Theory
,
41
(
2
), pp.
119
144
. 10.1016/j.mechmachtheory.2005.05.003
35.
Van de Straete
,
H. J.
,
Degezelle
,
P.
,
De Schutter
,
J.
, and
Belmans
,
R.
,
1998
, “
Servo Motor Selection Criterion for Mechatronics Applications
,”
IEEE/ASME Trans. Mechatron.
,
3
(
1
), pp.
43
50
. 10.1109/3516.662867
36.
McDaid
,
A. J.
,
2017
, “
Design, Analysis, and Multicriteria Optimization of an Overground Pediatric Robotic Gait Trainer
,”
IEEE/ASME Trans. Mechatron.
,
22
(
4
), pp.
1674
1684
. 10.1109/TMECH.2017.2696498
37.
Cheng
,
S.
,
Zhou
,
J.
, and
Li
,
M.
,
2015
, “
A New Hybrid Algorithm for Multi-Objective Robust Optimization With Interval Uncertainty
,”
ASME J. Mech. Des.
,
137
(
2
), p.
021401
. 10.1115/1.4029026
38.
Kucuk
,
S.
,
2016
, “
Maximal Dexterous Trajectory Generation and Cubic Spline Optimization for Fully Planar Parallel Manipulators
,”
Comput. Electr. Eng.
,
56
, pp.
634
647
. 10.1016/j.compeleceng.2016.07.012
39.
Toz
,
M.
, and
Kucuk
,
S.
,
2014
, “
Dimensional Optimization of 6-DOF 3-CCC Type Asymmetric Parallel Manipulator
,”
Adv. Rob.
,
28
(
9
), pp.
625
637
. 10.1080/01691864.2014.884935
40.
Smail
,
M. K.
,
Bouchekara
,
H. R. E. H.
,
Pichon
,
L.
,
Boudjefdjouf
,
H.
, and
Mehasni
,
R.
,
2014
, “
Diagnosis of Wiring Networks Using Particle Swarm Optimization and Genetic Algorithms
,”
Comput. Electr. Eng.
,
40
(
7
), pp.
2236
2245
. 10.1016/j.compeleceng.2014.07.002
41.
Liu
,
X. J.
,
Han
,
G.
,
Xie
,
F. G.
,
Meng
,
Q.
, and
Zhang
,
S.
,
2018
, “
A Novel Parameter Optimization Method for the Driving System of High-Speed Parallel Robots
,”
ASME J. Mech. Rob.
,
10
(
4
), p.
041011
. 10.1115/1.4040028
42.
Kucuk
,
S.
,
2018
, “
Dexterous Workspace Optimization for a New Hybrid Parallel Robot Manipulator
,”
ASME J. Mech. Rob.
,
10
(
6
), p.
064503
. 10.1115/1.4041334
43.
Moubarak
,
P. M.
, and
Ben-Tzvi
,
P.
,
2013
, “
On the Dual-Rod Slider Rocker Mechanism and Its Applications to Tristate Rigid Active Docking
,”
ASME J. Mech. Rob.
,
5
(
1
), p.
011010
. 10.1115/1.4023178
44.
Briot
,
S.
,
Caro
,
S.
, and
Germain
,
C.
,
2017
, “
Design Procedure for a Fast and Accurate Parallel Manipulator
,”
ASME J. Mech. Rob.
,
9
(
6
), p.
061012
. 10.1115/1.4038009
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