Abstract
Motion/force transmissibility is an essential property reflecting the kinematic performance of parallel robots. Research on this performance of the single-platform parallel robots (SPPRs) has long been concerned and studied. In contrast, although many innovations and applications of the high-speed articulated-platform parallel robots (APPRs) have been presented, few studies on their motion/force transmissibility have been reported. This paper deals with the motion/force transmissibility analysis of high-speed parallel robots with articulated platforms. A modified output transmission index (MOTI) for the high-speed parallel robots with articulated platforms is proposed based on a newly defined concept of equivalent transmission wrench screw. Furthermore, by having an insight into the instantaneous relative motion inside the mobile platform, a medial transmission index (MTI) is proposed to evaluate its internal motion/force transmissibility. Based on these foundations, the local transmission index (LTI) is redefined as the minimum value of the input, modified output, and medial transmission indices. Under the framework of the above performance indices, motion/force transmissibility analysis of two typical high-speed articulated-platform parallel robots, i.e., Heli4 and Par4, are presented. The proposed indices are excepted to be applied to the optimal design of high-speed parallel robots with articulated platforms.
Issue Section:
Research Papers
References
1.
Merlet
, J. P.
, 2006
, Parallel Robots (Solid Mechanics and Its Applications, Vol. 2)
, Springer-Verlag
, Dordrecht, The Netherlands
.2.
McClintock
, H.
, Temel
, F. Z.
, Doshi
, N.
, Koh
, J.
, and Wood
, R. J.
, 2018
, “The MilliDelta: A High-Bandwidth, High-Precision, Millimeter-Scale Delta Robot
,” Sci. Rob.
, 3
(14
), p. 3018
. 10.1126/scirobotics.aar30183.
Isaksson
, M.
, Gosselin
, C. M.
, and Marlow
, K.
, 2017
, “Singularity Analysis of a Class of Kinematically Redundant Parallel Schönflies Motion Generators
,” Mech. Mach. Theory
, 112
, pp. 172
–191
. 10.1016/j.mechmachtheory.2017.01.0124.
Shariatee
, M.
, Akbarzadeh
, A.
, Mousavi
, A.
, and Alimardani
, S.
, 2014
, “Design of an Economical SCARA Robot for Industrial Applications
,” RSI/ISM ICRoM 2014
, Tehran, Iran
, Oct. 15–17
, pp. 534
–539
.5.
Clavel
, R.
, 1990
, “Device for the Movement and Positioning of an Element in Space
”, U.S. Patent No. 4,976,582.6.
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
. 10.1115/1.40067437.
Li
, Z. B.
, Lou
, Y. J.
, Zhang
, Y. S.
, Liao
, B.
, and Li
, Z. X.
, 2013
, “Type Synthesis, Kinematic Analysis, and Optimal Design of a Novel Class of Schönflies-Motion Parallel Manipulators
,” IEEE Trans. Autom. Sci. Eng.
, 10
(3
), pp. 674
–686
. 10.1109/TASE.2012.22060238.
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
. 10.1115/1.40294409.
Wu
, G. L.
, Bai
, S. P.
, and Hjørnet
, P.
, 2016
, “Architecture Optimization of a Parallel Schönflies-Motion Robot for Pick-and-Place Applications in a Predefined Workspace
,” Mech. Mach. Theory
, 106
, pp. 148
–165
. 10.1016/j.mechmachtheory.2016.09.00510.
Krut
, S.
, Company
, O.
, Nabat
, V.
, and Pierrot
, F.
, 2006
, “Heli4: A Parallel Robot for Scara Motions With a Very Compact Traveling Plate and a Symmetrical Design
,” IEEE/RSJ IROS 2006
, Beijing, China
, Oct. 9–15
, pp. 1656
–1661
.11.
Corbel
, D.
, Gouttefarde
, M.
, Company
, O.
, and Pierrot
, F.
, 2010
, “Actuation Redundancy as a Way to Improve the Acceleration Capabilities of 3 T and 3T1R Pick-and-Place Parallel Manipulators
,” ASME J. Mech. Rob.
, 2
(4
), pp. 317
–337
. 10.1115/1.400207812.
Pierrot
, F.
, and Company
, O.
, 1999
, “H4: A New Family of 4-DOF Parallel Robots
,” IEEE/ASME ICAIM 1999
, Atlanta, GA
, Sept. 19–23
, pp. 508
–513
.13.
Krut
, S.
, Benoit
, M.
, Ota
, H.
, and Pierrot
, F.
, 2003
, “I4: A New Parallel Mechanism for SCARA Motions
,” IEEE ICRA 2003
, Taipei, Taiwan
, Sept. 14–19
, pp. 1875
–1880
.14.
Krut
, S.
, Nabat
, V.
, Company
, O.
, and Pierrot
, F.
, 2004
, “A High-Speed Parallel Robot for SCARA Motions
,” IEEE ICRA 2004
, New Orleans, LA
, Apr. 26–May 1
, pp. 4109
–4115
.15.
Nabat
, V.
, de la O Rodriguez
, M.
, Company
, O.
, Krut
, S.
, and Pierrot
, F.
, 2005
, “Par4: Very High Speed Parallel Robot for Pick-and-Place
,” IEEE/RSJ IROS 2005
, Edmonton, Alberta, Canada
, Aug. 2–6
, pp. 553
–558
.16.
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.2008.201141217.
Meng
, Q. Z.
, Xie
, F. G.
, and Liu
, X.-J.
, 2017
, “Conceptual Design and Kinematic Analysis of a Novel Parallel Robot for High-Speed Pick-and-Place Operations
,” Front. Mech. Eng.
, 13
(2
), pp. 211
–224
. 10.1007/s11465-018-0471-418.
Chen
, X.
, Chen
, C.
, and Liu
, X.-J.
, 2015
, “Evaluation of Force/Torque Transmission Quality for Parallel Manipulators
,” ASME J. Mech. Rob.
, 7
(4
), p. 041013
. 10.1115/1.402918819.
Yoshikawa
, T.
, 1985
, “Manipulability of Robotic Mechanisms
,” Int. J. Rob. Res.
, 4
(2
), pp. 3
–9
. 10.1177/02783649850040020120.
Gosselin
, C. M.
, and Angeles
, J.
, 1989
, “The Optimum Kinematic Design of a Spherical Three-Degree-of- Freedom Parallel Manipulator
,” J. Mech. Des.
, 111
(2
), pp. 202
–207
. 10.1115/1.325898421.
Ranjbaran
, F.
, Angeles
, J.
, González-Palacios
, M. A.
, and Patel
, R. V.
, 1995
, “The Mechanical Design of a Seven-Axes Manipulator With Kinematic Isotropy
,” J. Intell. Rob. Syst.
, 14
(1
), pp. 21
–41
. 10.1007/BF0125400622.
Kim
, S.-G.
, and Ryu
, J.
, 2003
, “New Dimensionally Homogeneous Jacobian Matrix Formulation by Three end-Effector Points for Optimal Design of Parallel Manipulators
,” IEEE Trans. Rob. Autom.
, 19
(4
), pp. 731
–736
. 10.1109/TRA.2003.81449623.
Altuzarra
, O.
, Salgado
, O.
, Petuya
, V.
, and Hernández
, A.
, 2006
, “Point-Based Jacobian Formulation for Computational Kinematics of Manipulators
,” Mech. Mach. Theory
, 41
(12
), pp. 1407
–1423
. 10.1016/j.mechmachtheory.2006.01.01124.
Pond
, G. T.
, and Carretero
, J. A.
, 2011
, “Dexterity Measures and Their Use in Quantitative Dexterity Comparisons
,” Meccanica
, 46
(1
), pp. 51
–64
. 10.1007/s11012-010-9381-125.
Alt
, H.
, 1932
, “Der Übertragungswinkel Und Seine Bedeutung Für Das Konstruieren Periodischer Getriebe
,” Werkstattstechnik
, 26
(4
), pp. 61
–64
.26.
Yuan
, M. S. C.
, Freudenstein
, F.
, and Woo
, L. S.
, 1971
, “Kinematic Analysis of Spatial Mechanisms by Means of Screw Coordinates. Part 2—Analysis of Spatial Mechanisms
,” J. Eng. Ind.
, 93
(1
), p. 67
. 10.1115/1.342791927.
Sutherland
, G.
, and Roth
, B.
, 1973
, “A Transmission Index for Spatial Mechanisms
,” J. Eng. Ind.
, 95
(2
), p. 589
. 10.1115/1.343819528.
Tsai
, M. J.
, and Lee
, H. W.
, 1994
, “The Transmissivity and Manipulability of Spatial Mechanisms
,” ASME J. Mech. Des.
, 116
(1
), pp. 137
–143
. 10.1115/1.291933729.
Chen
, C.
, and Angeles
, J.
, 2007
, “Generalized Transmission Index and Transmission Quality for Spatial Linkages
,” Mech. Mach. Theory
, 42
(9
), pp. 1225
–1237
. 10.1016/j.mechmachtheory.2006.08.00130.
Takeda
, Y.
, and Funabashi
, H.
, 1995
, “Motion Transmissibility of In-Parallel Actuated Manipulators
,” JSME Int. J. Ser. C
, 38
(4
), pp. 749
–755
.31.
Takeda
, Y.
, Funabashi
, H.
, and Ichimaru
, H.
, 1997
, “Development of Spatial In-Parallel Actuated Manipulators With Six Degrees of Freedom With High Motion Transmissibility
,” JSME Int. J. Ser. C
, 40
(2
), pp. 299
–308
. 10.1299/jsmec.40.29932.
Chang
, W. T.
, Lin
, C. C.
, and Lee
, J. J.
, 2003
, “Force Transmissibility Performance of Parallel Manipulators
,” J. Rob. Syst.
, 20
(11
), pp. 659
–670
. 10.1002/rob.1011533.
Liu
, X.-J.
, Wu
, C.
, and Wang
, J. S.
, 2008
, “A New Index For the Performance Evaluation of Parallel Manipulators: A Study on Planar Parallel Manipulators
,” WCICA 2008
, Chongqing, China
, June 25–27
, pp. 353
–357
.34.
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/s11431-008-0305-435.
Wu
, C.
, Liu
, X.-J.
, Wang
, L. P.
, and Wang
, J. S.
, 2010
, “Optimal Design of Spherical 5R Parallel Manipulators Considering the Motion/Force Transmissibility
,” ASME J. Mech. Des.
, 132
(3
), p. 031002
. 10.1115/1.400112936.
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.2010.05.00137.
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
. 10.1115/1.400700438.
Xie
, F. G.
, Liu
, X.-J.
, and Wang
, J. S.
, 2011
, “Performance Evaluation of Redundant Parallel Manipulators Assimilating Motion/Force Transmissibility
,” Int. J. Adv. Rob. Syst.
, 8
(5
), pp. 113
–124
.39.
Huang
, T.
, Wang
, M. X.
, Yang
, S. F.
, Sun
, T.
, Chetwynd
, D. G.
, and Xie
, F. G.
, 2014
, “Force/Motion Transmissibility Analysis of Six Degree of Freedom Parallel Mechanisms
,” ASME J. Mech. Rob.
, 6
(3
), p. 031010
. 10.1115/1.402663140.
Briot
, S.
, Glazunov
, V.
, and Arakelian
, V.
, 2013
, “Investigation on the Effort Transmission in Planar Parallel Manipulators
,” ASME J. Mech. Rob.
, 5
(1
), p. 011011
. 10.1115/1.402332541.
Gan
, D.
, Dai
, J. S.
, Dias
, J.
, and Seneviratne
, L. D.
, 2016
, “Variable Motion/Force Transmissibility of a Metamorphic Parallel Mechanism With Reconfigurable 3 T and 3R Motion
,” ASME J. Mech. Rob.
, 8
(5
), p. 051001
. 10.1115/1.403240942.
Marlow
, K.
, Isaksson
, M.
, and Nahavandi
, S.
, 2016
, “Motion/Force Transmission Analysis of Planar Parallel Mechanisms With Closed-Loop Subchains
,” ASME J. Mech. Rob.
, 8
(4
), p. 041019
. 10.1115/1.403315843.
Li
, Q. C.
, Zhang
, N. B.
, and Wang
, F. B.
, 2016
, “New Indices for Optimal Design of Redundantly Actuated Parallel Manipulators
,” ASME J. Mech. Rob.
, 9
(1
), p. 011007
.44.
Brinker
, J.
, Corves
, B.
, and Takeda
, Y.
, 2018
, “Kinematic Performance Evaluation of High-Speed Delta Parallel Robots Based on Motion/Force Transmission Indices
,” Mech. Mach. Theory
, 125
, pp. 111
–125
. 10.1016/j.mechmachtheory.2017.11.02945.
Takeda
, Y.
, and Liang
, X. H.
, 2017
, “Transmission Index of Lower-Mobility Parallel Mechanism: Case Study on 3-PRS Mechanism
,” ASME IDETC/CIE 2017
, Cleveland, OH
, Aug. 6–9
.46.
Russo
, M.
, Ceccarelli
, M.
, and Takeda
, Y.
, 2018
, “Force Transmission and Constraint Analysis of a 3-SPR Parallel Manipulator
,” Proc. Inst. Mech. Eng. C
, 232
(23
), pp. 4399
–4409
.47.
Liu
, X.-J.
, Han
, G.
, Xie
, F. G.
, and Meng
, Q. Z.
, 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.2018.03.01348.
Company
, O.
, Krut
, S.
, and Pierrot
, F.
, 2006
, “Internal Singularity Analysis of a Class of Lower Mobility Parallel Manipulators With Articulated Traveling Plate
,” IEEE Trans. Rob.
, 22
(1
), pp. 1
–11
. 10.1109/TRO.2005.85886249.
Song
, Y. M.
, Gao
, H.
, Sun
, T.
, Dong
, G.
, Lian
, B. B.
, and Qi
, Y.
, 2014
, “Kinematic Analysis and Optimal Design of a Novel 1T3R Parallel Manipulator With an Articulated Travelling Plate
,” Rob. Comput. Integr. Manuf.
, 30
(5
), pp. 508
–516
. 10.1016/j.rcim.2014.03.00650.
Li
, Y. H.
, Ma
, Y.
, Liu
, S. T.
, Luo
, Z. J.
, Mei
, J. P.
, Huang
, T.
, and Chetwynd
, D. G.
, 2014
, “Integrated Design of a 4-DOF High-Speed Pick-and-Place Parallel Robot
,” CIRP Ann.
, 63
(1
), pp. 185
–188
. 10.1016/j.cirp.2014.03.10151.
Wang
, C. Z.
, Fang
, Y. F.
, and Guo
, S.
, 2016
, “Design and Analysis of 3R2 T and 3R3 T Parallel Mechanisms With High Rotational Capability
,” ASME J. Mech. Rob.
, 8
(1
), p. 011004
. 10.1115/1.402983452.
Sun
, T.
, Song
, Y. M.
, Gao
, H.
, and Qi
, Y.
, 2015
, “Topology Synthesis of a 1-Translational and 3-Rotational Parallel Manipulator With an Articulated Traveling Plate
,” ASME J. Mech. Rob.
, 7
(3
), p. 031015
. 10.1115/1.402862653.
Jin
, X. D.
, Fang
, Y. F.
, and Zhang
, D.
, 2019
, “Design of a Class of Generalized Parallel Mechanisms With Large Rotational Angles and Integrated End-Effectors
,” Mech. Mach. Theory
, 134
, pp. 117
–134
. 10.1016/j.mechmachtheory.2018.12.02754.
Wu
, G. L.
, Bai
, S. P.
, and Caro
, S.
, 2018
, “A Transmission Quality Index for a Class of Four-Limb Parallel Schoenflies Motion Generators
,” ASME J. Mech. Rob.
, 10
(5
), p. 051014
. 10.1115/1.404035355.
Joshi
, S. A.
, and Tsai
, L. W.
, 2002
, “Jacobian Analysis of Limited-DOF Parallel Manipulators
,” ASME J. Mech. Des.
, 124
(2
), pp. 254
–258
. 10.1115/1.146954956.
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
,” ASME IDETC/CIE 2018
, Quebec, Canada
, Aug. 26–29
.Copyright © 2020 by ASME
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