Abstract
This research presents a novel two-chain parallel structure with symmetrical features. This parallel structure with eight revolute joints owns infinite bifurcation points and it has a large translational workspace and orientational workspace. A family of equivalent eight-bar parallel manipulator variants is proposed, together with two families of parallel manipulators with reduced mobility. Both the direct and inverse kinematic problems are solved for two motion modes of the selected parallel architecture. The singularity-free reachable workspace and dexterity distribution are investigated. Its large deploy/fold ratio is calculated through a new generic formula and compared with other deployable modules owning planar/spatial motions. Two potential industrial applications are developed by virtue of their superior features.
Issue Section:
Research Papers
References
1.
Yan
, P.
, Huang
, H. L.
, Li
, B.
, and Zhou
, D. Y.
, 2022
, “A 5-DOF Redundantly Actuated Parallel Mechanism for Large Tilting Five-Face Machining
,” Mech. Mach. Theory
, 172
, p. 104785
. 2.
Yang
, X. L.
, Wu
, H. T.
, Li
, Y.
, Kang
, S. Z.
, Chen
, B.
, Lu
, H. M.
, Lee
, C. K. M.
, and Ji
, P.
, 2020
, “Dynamics and Isotropic Control of Parallel Mechanisms for Vibration Isolation
,” IEEE/ASME Trans. Mechatron.
, 25
(4
), pp. 2027
–2034
. 3.
Chong
, Z. H.
, Xie
, F. G.
, Liu
, X. J.
, Wang
, J. S.
, and Niu
, H. F.
, 2020
, “Design of the Parallel Mechanism for a Hybrid Mobile Robot in Wind Turbine Blades Polishing
,” Robot. Comput. Integr. Manuf.
, 61
, p. 101857
. 4.
Yuan
, X.
, Meng
, Q. Z.
, Xie
, F. G.
, Liu
, X. J.
, and Wang
, J. S.
, 2022
, “Position Error Modeling and Accuracy Evaluation of n-DoF Translational Parallel Manipulators That can be Transformed Into n Four-bar Mechanisms Based on Motion/Force Transmissibility
,” Mech. Mach. Theory
, 176
, p. 105012
. 5.
Leveziel
, M.
, Laurent
, G. J.
, Haouas
, W.
, Gauthier
, M.
, and Dahmouche
, R.
, 2022
, “A 4-DoF Parallel Robot with a Built-in Gripper for Waste Sorting
,” IEEE Robot. Autom. Lett.
, 7
(4
), pp. 9834
–9841
. 6.
Ren
, B.
, and Zhang
, Z. Q.
, 2021
, “Design of 4PUS-PPPS Redundant Parallel Mechanism Oriented to the Visual System of Flight Simulator
,” Int. J. Intell. Rob. Appl.
, 5
(4
), pp. 534
–542
. 7.
Ma
, N.
, Dong
, X.
, and Axinte
, D.
, 2020
, “Modeling and Experimental Validation of a Compliant Underactuated Parallel Kinematic Manipulator
,” IEEE/ASME Trans. Mechatron.
, 25
(3
), pp. 1409
–1421
. 8.
Yaşır
, A.
, Kiper
, G.
, and Dede
, M. İ. C.
, 2020
, “Kinematic Design of a Non-Parasitic 2R1T Parallel Mechanism with Remote Center of Motion to be Used in Minimally Invasive Surgery Applications
,” Mech. Mach. Theory
, 153
, p. 104013
. 9.
Luo
, X.
, Xie
, F. G.
, Liu
, X. J.
, and Xie
, Z. H.
, 2021
, “Kinematic Calibration of a 5-Axis Parallel Machining Robot Based on Dimensionless Error Mapping Matrix
,” Robot. Comput. Integr. Manuf.
, 70
, p. 102115
. 10.
Li
, J. C.
, Huang
, Z. Y.
, Hu
, C. Z.
, Zhang
, Z. Q.
, and Shi
, C. Y.
, 2024
, “Development of a 7-DoF Haptic Operator Interface Based on Redundantly Actuated Parallel Mechanism
,” IEEE Trans. Med. Rob. Bionics
, 6
(2
), pp. 475
–486
. 11.
Wang
, J. Y.
, Kong
, X. W.
, and Yu
, J. J.
, 2022
, “Design of Deployable Mechanisms Based on Wren Parallel Mechanism Units
,” ASME J. Mech. Des.
, 144
(6
), p. 063302
. 12.
Jia
, G. L.
, Huang
, H. L.
, Wang
, S.
, and Li
, B.
, 2021
, “Type Synthesis of Plane-Symmetric Deployable Grasping Parallel Mechanisms Using Constraint Force Parallelogram law
,” Mech. Mach. Theory
, 161
, p. 104330
. 13.
Gao
, C. Q.
, Kang
, X.
, Lei
, H.
, Xu
, P.
, and Li
, B.
, 2023
, “Design and Analysis of a Novel Large-Span Two-Fold Deployable Mechanism
,” Mech. Mach. Theory
, 186
, p. 105352
. 14.
Shayya
, S.
, Krut
, S.
, Company
, O.
, Baradat
, C.
, and Pierrot
, F.
, “A Novel (3T-1R) Redundant Parallel Mechanism with Large Operational Workspace and Rotational Capability
,” 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems (ICIRS)
, Tokyo, Japan
, Nov. 3–7
, pp. 436
–443
.15.
Chen
, G. Z.
, Lou
, Y. J.
, and Shen
, Y.
, “A Hybrid and Compact Spherical Mechanism of Large Workspace and Output Torque with Unlimited Torsion for Hand-Held Gimbal
,” 2017 IEEE International Conference on Robotics and Biomimetics (ROBIO)
, Macau, Macao
, Dec. 5–8
, pp. 1918
–1923
.16.
Li
, C. R.
, Wang
, N. F.
, Chen
, K. J.
, and Zhang
, X. M.
, 2022
, “Prescribed Flexible Orientation Workspace and Performance Comparison of Non-Redundant 3-DOF Planar Parallel Mechanisms
,” Mech. Mach. Theory
, 168
, pp. 104602
. 17.
Stepanenko
, O.
, Bonev
, I. A.
, and Zlatanov
, D.
, 2019
, “A new 4-DOF Fully Parallel Robot with Decoupled Rotation for Five-Axis Micromachining Applications
,” ASME J. Mech. Rob.
, 11
(3
), pp. 031010
. 18.
Gosselin
, C.
, and Schreiber
, L. T.
, 2016
, “Kinematically Redundant Spatial Parallel Mechanisms for Singularity Avoidance and Large Orientational Workspace
,” IEEE Trans. Rob.
, 32
(2
), pp. 286
–300
. 19.
Cuan-Urquizo
, E.
, and Rodriguez-Leal
, E.
, 2013
, “Kinematic Analysis of the 3-CUP Parallel Mechanism
,” Robot. Comput. Integr. Manuf.
, 29
(5
), pp. 382
–395
. 20.
Gan
, D. M.
, Liao
, Q. Z.
, Dai
, J. S.
, and Wei
, S. M.
, 2010
, “Design and Kinematics Analysis of a New 3CCC Parallel Mechanism
,” Robotica
, 28
(7
), pp. 1065
–1072
. 21.
Wang
, Y. J.
, Belzile
, B.
, Angeles
, J.
, and Li
, Q. C.
, 2019
, “Kinematic Analysis and Optimum Design of a Novel 2PUR-2RPU Parallel Robot
,” Mech. Mach. Theory
, 139
, pp. 407
–423
. 22.
Wang
, J.
, and Gosselin
, C. M.
, 2004
, “Kinematic Analysis and Design of Kinematically Redundant Parallel Mechanisms
,” ASME J. Mech. Des.
, 126
(1
), pp. 109
–118
. 23.
Yu
, W. D.
, Wang
, H.
, and Chen
, G. L.
, 2018
, “Design and Kinematic Analysis of a 3-Translational-DOF Spatial Parallel Mechanism Based on Polyhedral
,” Mech. Mach. Theory
, 121
, pp. 92
–115
. 24.
Patel
, S.
, and Sobh
, T.
, 2015
, “Manipulator Performance Measures-a Comprehensive Literature Survey
,” J. Intell. Rob. Syst.
, 77
(3–4
), pp. 547
–570
. 25.
Nigatu
, H.
, and Kim
, D.
, 2023
, “Workspace Optimization of 1T2R Parallel Manipulators with a Dimensionally Homogeneous Constraint-Embedded Jacobian
,” Mech. Mach. Theory
, 188
, pp. 105391
. 26.
Gosselin
, C. M.
, 1992
, “The Optimum Design of Robotic Manipulators Using Dexterity Indices
,” Robot. Auton. Syst.
, 9
(4
), pp. 213
–226
. 27.
Pond
, G.
, and Carretero
, J. A.
, 2006
, “Formulating Jacobian Matrices for the Dexterity Analysis of Parallel Manipulators
,” Mech. Mach. Theory
, 41
(12
), pp. 1505
–1519
. 28.
Li
, W.
, and Angeles
, J.
, 2017
, “A Novel Three-Loop Parallel Robot with Full Mobility: Kinematics, Singularity, Workspace, and Dexterity Analysis
,” ASME J. Mech. Rob.
, 9
(5
), pp. 051003
. 29.
Tandirci
, M.
, Angeles
, J.
, and Ranjbaran
, F.
, “The Characteristic Point and the Characteristic Length of Robotic Manipulators
,” 22nd Biennial Mechanisms Conference: Robotics, Spatial Mechanisms, and Mechanical Systems
, Scottsdale, AZ
, Sept. 13–16
, American Society of Mechanical Engineers
, pp. 203
–208
.30.
Gogu
, G.
, 2005
, “Chebychev–Grübler–Kutzbach's Criterion for Mobility Calculation of Multi-Loop Mechanisms Revisited via Theory of Linear Transformations
,” Eur. J. Mech. A/Solids
, 24
(3
), pp. 427
–441
. 31.
Kumar
, P.
, and Pellegrino
, S.
, 2000
, “Computation of Kinematic Paths and Bifurcation Points
,” Int. J. Solids Struct.
, 37
(46–47
), pp. 7003
–7027
. 32.
Chen
, Y.
, Feng
, J.
, and Sun
, Q. Z.
, 2018
, “Lower-Order Symmetric Mechanism Modes and Bifurcation Behavior of Deployable Bar Structures With Cyclic Symmetry
,” Int. J. Solids Struct.
, 139
, pp. 1
–14
. 33.
Zhang
, T. S.
, Huang
, H. L.
, Guo
, H. W.
, and Li
, B.
, 2019
, “Singularity Avoidance for a Deployable Mechanism Using Elastic Joints
,” ASME J. Mech. Des.
, 141
(9
), pp. 094501
. 34.
Tsai
, L. W.
, 1999
, Robot Analysis: the Mechanics of Serial and Parallel Manipulators
, John Wiley & Sons, Inc
, New York
.35.
Monsarrat
, B.
, and Gosselin
, C. M.
, 2003
, “Workspace Analysis and Optimal Design of a 3-leg 6-DOF Parallel Platform Mechanism
,” IEEE Trans. Robot. Autom.
, 19
(6
), pp. 954
–966
. 36.
Li
, G. T.
, and Xu
, P.
, 2020
, “Design and Analysis of a Deployable Grasping Mechanism for Capturing Non-Cooperative Space Targets
,” Aerosp. Sci. Technol.
, 106
, pp. 106230
. 37.
Yang
, Y.
, Peng
, Y.
, Pu
, H. Y.
, Chen
, H. J.
, Ding
, X. L.
, Chirikjian
, G. S.
, and Lyu
, S. N.
, 2019
, “Deployable Parallel Lower-Mobility Manipulators with Scissor-Like Elements
,” Mech. Mach. Theory
, 135
, pp. 226
–250
. 38.
Gonzalez
, D. J.
, and Asada
, H. H.
, “Triple Scissor Extender: A 6-DOF Lifting and Positioning Robot
,” 2016 IEEE International Conference on Robotics and Automation (ICRA)
, Stockholm, Sweden
, May 16–21
, pp. 847
–853
.39.
Jia
, A. H.
, Liu
, X. Y.
, Guan
, Y. T.
, Liu
, Y. X.
, Helian
, Q. Z.
, Liu
, C. S.
, Zhuang
, Z. M.
, and Kang
, R. J.
, 2024
, “Design, Analysis and Experiment of a Modular Deployable Continuum Robot
,” Machines
, 12
(8
), pp. 544
. 40.
Choi
, J. W.
, Lee
, D.
, Hwang
, K.
, and Kim
, B.
, 2019
, “Design, Fabrication, and Evaluation of a Passive Deployment Mechanism for Deployable Space Telescope
,” Adv. Mech. Eng.
, 11
(5
), pp. 1687814019852258
. 41.
Zhao
, J. K.
, Zhao
, C.
, Wang
, K.
, Zhao
, H. F.
, and Zhang
, F.
, 2024
, “Design and Analysis of n(3-RRU) Deployable and Reconfigurable Serial-Parallel Manipulator for on-Orbit Manipulation and Capture
,” Aerosp. Sci. Technol.
, 146
, pp. 108942
. 42.
Li
, G. T.
, Huang
, H. L.
, Guo
, H. W.
, and Li
, B.
, 2019
, “Design, Analysis and Control of a Novel Deployable Grasping Manipulator
,” Mech. Mach. Theory
, 138
, pp. 182
–204
. 43.
Gao
, C. Q.
, Huang
, H. L.
, and Li
, B.
, “Design and Analysis of a Novel Deployable Robotic Grasper
,” 2019 IEEE International Conference on Robotics and Biomimetics (ROBIO)
, Dali, China
, Dec. 6–8
, pp. 481
–486
.44.
Cheng
, P.
, Cao
, W. A.
, Wang
, T. L.
, and Chen
, G. D.
, 2025
, “Design and Analysis of a new Deployable Articulated Mast Mechanism With Two-Dimensional Deploying-Folding Motion
,” ASME J. Mech. Rob.
, 17
(2
), pp. 021005
. 45.
Chen
, W. J.
, Luo
, Y. Z.
, Fu
, G. Y.
, Gong
, J. H.
, and Dong
, S. L.
, 2001
, “Design Conception and Deployment Simulation for a Highly Synchronized Extendable/Retractable Space Mast
,” Int. J. Space Struct.
, 16
(4
), pp. 261
–269
. 46.
Li
, Y. N.
, Huang
, H. L.
, and Li
, B.
, 2023
, “Design of a Deployable Continuum Robot Using Elastic Kirigami-Origami
,” IEEE Robot. Autom. Lett.
, 8
(12
), pp. 8382
–8389
. 47.
Matsuo
, H.
, Asada
, H. H.
, and Takeda
, Y.
, 2020
, “Design of a Novel Multiple-DOF Extendable Arm With Rigid Components Inspired by a Deployable Origami Structure
,” IEEE Robot. Autom. Lett.
, 5
(2
), pp. 2730
–2737
. 48.
Gao
, C. Q.
, Huang
, H. L.
, Yang
, G.
, Li
, B.
, and Huang
, K.
, “Design and Analysis of a Novel 3-DOF Deployable Grasping Mechanism
,” 2020 IEEE International Conference on Real-Time Computing and Robotics (RCAR)
, Asahikawa, Japan
, Sept. 28–29
, pp. 199
–203
.49.
Jiang
, Z. B.
, Huang
, H. L.
, Huang
, H. X.
, and Li
, B.
, “A Truss-Type Deployable Manipulator Actuated by Parallel Twisted and Coiled Nylon Fiber Actuator
,” 2020 IEEE International Conference on Real-Time Computing and Robotics (RCAR)
, Asahikawa, Japan
, Sept. 28–29
, pp. 105
–110
.50.
Zhuang
, Z. M.
, Zhang
, Z.
, Guan
, Y. T.
, Wei
, W.
, Li
, M.
, Tang
, Z.
, Kang
, R. J.
, Song
, Z. B.
, and Dai
, J. S.
, 2022
, “Design and Control of SLPM-Based Extensible Continuum arm
,” ASME J. Mech. Rob.
, 14
(6
), pp. 061003
. 51.
Agarwal
, A.
, Nasa
, C.
, and Bandyopadhyay
, S.
, 2016
, “Dynamic Singularity Avoidance for Parallel Manipulators Using a Task-Priority Based Control Scheme
,” Mech. Mach. Theory
, 96
, pp. 107
–126
. 52.
Isaksson
, M.
, 2017
, “Kinematically Redundant Planar Parallel Mechanisms for Optimal Singularity Avoidance
,” ASME J. Mech. Des.
, 139
(4
), pp. 042302
. 53.
Sun
, T.
, Liang
, D.
, and Song
, Y. M.
, 2017
, “Singular-Perturbation-Based Nonlinear Hybrid Control of Redundant Parallel Robot
,” IEEE Trans. Ind. Electron.
, 65
(4
), pp. 3326
–3336
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