Abstract

In this paper, a new 3-RPS (the limb consisting of one revolute, one prismatic, and one spherical joint)/US (universal joint and spherical joint) parallel mechanism with two degrees-of-freedom (DOFs) is obtained by adding a US passive limb into the 3-RPS parallel mechanism with the aim of obtaining a high load-bearing capacity. The moving platform possesses two rotational motions, analyzed by the Grassmann line geometry and screw theory. Then, the kinematic performance of the mechanism is analyzed, including inverse kinematics, overall Jacobian matrix, workspace, and singularity. On this basis, the mapping between the driving force and the load on the moving platform is deduced and verified by simulation. Next, the static of the proposed parallel mechanism is compared with that of the 3-RPS mechanism. The results show that the load-bearing capacity of the mechanism is improved by introducing the US passive limb. Finally, a case study verifies the potential application of the mechanism as a dual-axis tracking photovoltaic bracket.

References

1.
Carricato
,
M.
, and
Parenti-Castelli
,
V.
,
2004
, “
A Novel Fully Decoupled Two-Degrees-of-Freedom Parallel Wrist
,”
Int. J. Rob. Res.
,
23
(
6
), pp.
661
667
.
2.
Jiang
,
M.
,
Hu
,
X.
,
Lei
,
L.
, and
Yu
,
Y.
,
2012
, “
Study on Parallel 2-DOF Rotation Mechanism in Radar
,”
International Conference on Applied Physics and Industrial Engineering (ICAPIE)
,
Wuhan, China
,
Mar. 1–2
, 24(part-C), pp.
1830
1835
.
3.
Alamdar
,
A.
,
Farahmand
,
F.
,
Behzadipour
,
S.
, and
Behzadipour
,
S.
,
2020
, “
A Geometrical Approach for Configuration and Singularity Analysis of a New Non-Symmetric 2DOF 5R Spherical Parallel Manipulator
,”
Mech. Mach. Theory
,
147
, p.
103747
.
4.
Yu
,
J.
,
Wu
,
K.
,
Zong
,
G.
, and
Kong
,
X.
,
2016
, “
A Comparative Study on Motion Characteristics of Three Two-Degree-of-Freedom Pointing Mechanisms
,”
ASME J. Mech. Rob.
,
8
(
2
), p.
021027
.
5.
Duan
,
X.
,
Yang
,
Y.
, and
Cheng
,
B.
,
2016
, “
Modeling and Analysis of a 2-DOF Spherical Parallel Manipulator
,”
Sensors
,
16
(
9
), p.
1485
.
6.
Liu
,
J.
,
He
,
Y.
,
Yang
,
J.
,
Cao
,
W.
, and
Wu
,
X.
,
2022
, “
Design and Analysis of a Novel 12-DOF Self-Balancing Lower Extremity Exoskeleton for Walking Assistance
,”
Mech. Mach. Theory
,
167
, p.
104519
.
7.
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
.
8.
Chen
,
J.
,
Xie
,
F.
, and
Liu
,
X.
,
2019
, “
Design and Kinematic Analysis of a 2-DOF Spatial Parallel Mechanism With Flexible Orientation Capability
,”
Proceedings of 9th IEEE International Conference on CYBER Technology in Automation, Control, and Intelligent Systems
,
Suzhou, China
,
July 29–Aug. 2
, pp.
770
774
.
9.
Cammarata
,
A.
,
2015
, “
Optimized Design of a Large-Workspace 2-DOF Parallel Robot for Solar Tracking Systems
,”
Mech. Mach. Theory
,
83
, pp.
175
186
.
10.
Xu
,
C.
,
Xue
,
C.
, and
Duan
,
X.
,
2018
, “
A Novel 2R Parallel Mechanism for Alt-Azimuth Pedestal
,”
3rd International Conference on Automation, Control and Robotics Engineering (CACRE)
,
Chengdu, China
,
July 19–22
, Vol. 428, p.
012053
.
11.
Zhang
,
C.
, and
Zhang
,
L.
,
2013
, “
Kinematics Analysis and Workspace Investigation of a Novel 2-DOF Parallel Manipulator Applied in Vehicle Driving Simulator
,”
Rob. Comput. Integr. Manuf.
,
29
(
4
), pp.
113
120
.
12.
Guo
,
W.
,
Guo
,
W.
,
Ge
,
J.
, and
Gao
,
F.
,
2018
, “
A Novel Method to Model the Effect of Environmental Constraint of Geometry in the Mechanism Design
,”
Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci.
,
232
(
20
), pp.
3751
3766
.
13.
Gallardo-Alvarado
,
J.
,
Abedinnasab
,
M. H.
, and
Lichtblau
,
D.
,
2016
, “
Simplified Kinematics for a Parallel Manipulator Generator of the Schonflies Motion
,”
ASME J. Mech. Rob.
,
8
(
6
), p.
061020
.
14.
Guo
,
W.
, and
Guo
,
W.
,
2017
, “
Structural Design of a Novel Family of 2-DOF Translational Parallel Robots to Enhance the Normal-Direction Stiffness Using Passive Limbs
,”
Intell. Serv. Robot.
,
10
(
4
), pp.
333
346
.
15.
Lin
,
R.
,
Guo
,
W.
,
Chen
,
X.
, and
Li
,
M.
,
2018
, “
Type Synthesis of Legged Mobile Landers With One Passive Limb Using the Singularity Property
,”
Robotica
,
36
(
12
), pp.
1836
1856
.
16.
Luo
,
J.
,
Cai
,
G.
,
Chen
,
X.
,
Yang
,
B.
, and
Huang
,
W.
,
2006
, “
A New Method of Structural Synthesis About the Partly-DOF Parallel Robot Mechanisms Based on the Screw Theory
,”
Conference on Machining and Advanced Manufacturing Technology in China
,
Shenyang, China
,
Nov. 15–17
, Vols. 315–316, pp.
425
429
.
17.
Wu
,
M.
,
Yue
,
X.
,
Chen
,
W.
,
Nie
,
Q.
, and
Zhang
,
Y.
,
2020
, “
Accuracy Analysis and Synthesis of Asymmetric Parallel Mechanism Based on Sobol-QMC
,”
Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci.
,
234
(
21
), pp.
4200
4214
.
18.
Song
,
M.
,
Guo
,
S.
,
Wang
,
X.
, and
Qu
,
H.
,
2020
, “
Dynamic Analysis and Performance Verification of a Novel Hip Prosthetic Mechanism
,”
Chin. J. Mech. Eng.
,
33
(
1
), p.
17
.
19.
Gojtan
,
G. E. E.
,
Furtado
,
G. P.
, and
Hess-Coelho
,
T. A.
,
2013
, “
Error Analysis of a 3-DOF Parallel Mechanism for Milling Applications
,”
ASME J. Mech. Rob.
,
5
(
3
), p.
034501
.
20.
Lee
,
K.
, and
Shah
,
D.
,
1988
, “
Dynamic Analysis of a Three-Degrees-of-Freedom In-Parallel Actuated Manipulator
,”
IEEE J. Rob. Autom.
,
4
(
3
), pp.
361
367
.
21.
Lee
,
K.
, and
Arjunan
,
S.
,
1992
, “
A Three Degrees of Freedom Micro-Motion In-Parallel Actuated Manipulator
,”
Precis. Sens. Actuators Syst.
,
17
(
5
), pp.
345
374
.
22.
Fang
,
Y.
, and
Huang
,
Z.
,
1997
, “
Kinematics of a Three-Degree-of-Freedom In-Parallel Actuated Manipulator Mechanism
,”
Mech. Mach. Theory
,
32
(
7
), pp.
789
796
.
23.
Nurahmi
,
L.
,
Schadlbauer
,
J.
,
Husty
,
M.
,
Wenger
,
P.
, and
Caro
,
S.
,
2014
, “
Kinematic Analysis of the 3-RPS Cube Parallel Manipulator
,”
Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 5B: 38th Mechanisms and Robotics Conference
,
Buffalo, NY
,
Aug. 17–20
, p.
10
.
24.
Sung Kim
,
H.
, and
Tsai
,
L.-W.
,
2003
, “
Kinematic Synthesis of a Spatial 3-RPS Parallel Manipulator
,”
ASME J. Mech. Des.
,
125
(
1
), pp.
92
97
.
25.
Nayak
,
A.
,
Caro
,
S.
, and
Wenger
,
P.
,
2018
, “
Comparison of 3-[PP]S Parallel Manipulators Based on Their Singularity Free Orientation Workspace, Parasitic Motions and Complexity
,”
Mech. Mach. Theory
,
129
, pp.
293
315
.
26.
Wang
,
X.
,
Guo
,
S.
, and
Qu
,
H.
,
2019
, “
Optimal Allocation Method of Parallel Mechanism and Its Application
,”
J. Mech. Eng.
,
55
(
1
), pp.
32
41
.
27.
Liu
,
T.
,
Hu
,
Y.
,
Xu
,
H.
,
Wang
,
Q.
, and
Du
,
W.
,
2019
, “
A Novel Vectored Thruster Based on 3-RPS Parallel Manipulator for Autonomous Underwater Vehicles
,”
Mech. Mach. Theory
,
133
, pp.
646
672
.
28.
Nurahmi
,
L.
,
Caro
,
S.
, and
Solichin
,
M.
,
2019
, “
A Novel Ankle Rehabilitation Device Based on a Reconfigurable 3-RPS Parallel Manipulator
,”
Mech. Mach. Theory
,
134
, pp.
135
150
.
29.
Zhao
,
G.
,
Deng
,
Y.
,
Xiao
,
W.
, and
Liu
,
Y.
,
2017
, “
Micro Machine Tool Oriented Optimum Design of 3-RPS Parallel Mechanism With Large Titling and Uniform Deflecting Capacities
,”
J. Adv. Mech. Des. Syst. Manuf.
,
11
(
3
), p.
16-00600
.
30.
Wang
,
M.
,
Liu
,
T.
,
Huang
,
T.
, and
Chetwynd
,
D.
,
2015
, “
Compliance Analysis of a 3-SPR Parallel Mechanism With Consideration of Gravity
,”
Mech. Mach. Theory
,
84
, pp.
99
112
.
31.
Gan
,
D.
,
Dias
,
J.
, and
Seneviratne
,
L.
,
2016
, “
Unified Kinematics and Optimal Design of a 3rRPS Metamorphic Parallel Mechanism With a Reconfigurable Revolute Joint
,”
Mech. Mach. Theory
,
96
(
2
), pp.
239
254
.
32.
Zhan
,
Y.
,
Tian
,
H.
,
Xu
,
J.
,
Wu
,
S.
, and
Fu
,
J.
,
2021
, “
A Novel Three-SPR Parallel Platform for Vessel Wave Compensation
,”
J. Mar. Sci. Eng.
,
8
(
12
), p.
1013
.
33.
Fang
,
Y.
, and
Tsai
,
L.-W.
,
2002
, “
Structure Synthesis of a Class of 4-DOF and 5-DOF Parallel Manipulators With Identical Limb Structures
,”
Int. J. Rob. Res.
,
21
(
9
), pp.
799
810
.
34.
Merlet
,
J.
,
1989
, “
Singular Configurations of Parallel Manipulators and Grassmann Geometry
,”
Int. J. Rob. Res.
,
8
(
5
), pp.
45
56
.
35.
Dandurand
,
A.
,
1984
, “
The Rigidity of Compound Spatial Grids
,”
Struct. Topol.
,
10
, pp.
41
55
.
36.
Huang
,
Z.
,
Tao
,
W.
, and
Fang
,
Y. F.
,
1996
, “
Study on the Kinematic Characteristics of 3 DOF In-Parallel Actuated Platform Mechanisms
,”
Mech. Mach. Theory
,
31
(
8
), pp.
999
1007
.
37.
Briot
,
S.
, and
Bonev
,
I.
,
2008
, “
Singularity Analysis of Zero-Torsion Parallel Mechanisms
,”
2008 IEEE/RSJ International Conference on Intelligent Robots and Systems
,
Nice, France
,
Sept. 22–26
, Vols.
1–3
, pp.
1952
1957
.
38.
Bonev
,
I.
,
Zlatanov
,
D.
, and
Gosselin
,
C.
,
2002
, “
Advantages of the Modified Euler Angles in the Design and Control of PKMs
,”
Proc. PKM Conference
,
Chemnitz, Germany
,
Apr.
, pp.
171
188
.
39.
Tsai
,
L.
,
1999
,
Robot Analysis: The Mechanics of Serial and Parallel Manipulators, Application of the Principle of Virtual Work
,
John Wiley& Sons
,
New York
, pp.
285
286
.
40.
Joshi
,
S.
, and
Tsai
,
L.
,
2002
, “
Jacobian Analysis of Limited-DOF Parallel Manipulators
,”
ASME J. Mech. Des.
,
124
(
2
), pp.
254
258
.
41.
Li
,
Y.
, and
Yang
,
T.
,
2013
, “Thermal Conversion of Solar Energy and Its Application,”
Introduction to Energy Engineering
,
Q.
Kong
, ed.,
Press of University of Science and Technology of China
,
Hefei
, pp.
107
127
.
42.
Ministry of Housing and Urban–Rural Development of the People’s Republic of China; General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China. GB/T 50009-2012 Load Code for the Design of Building Structures. China Architecture & Building Press, Beijing, 2012 (in Chinese).
43.
Altuzarra
,
O.
,
Macho
,
E.
,
Aginaga
,
J.
, and
Petuya
,
V.
,
2015
, “
Design of a Solar Tracking Parallel Mechanism With Low Energy Consumption
,”
Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci.
,
229
(
3
), pp.
566
579
.
44.
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
.
45.
Du
,
X.
,
Li
,
Y.
,
Wang
,
P.
,
Ma
,
Z.
,
Li
,
D.
, and
Wu
,
C.
,
2021
, “
Design and Optimization of Solar Tracker With U-PRU-PUS Parallel Mechanism
,”
Mech. Mach. Theory
,
155
, p.
104107
.
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