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Research Papers

Force Distribution With Pose-Dependent Force Boundaries for Redundantly Actuated Cable-Driven Parallel Robots

[+] Author and Article Information
Han Yuan

Université Européenne de Bretagne,
INSA-LGCGM-EA 3913,
20, avenue des Buttes de Cöesmes,
Rennes Cedex 35043, France
e-mail: han.yuan@insa-rennes.fr

Eric Courteille

Université Européenne de Bretagne,
INSA-LGCGM-EA 3913,
20, avenue des Buttes de Cöesmes,
Rennes Cedex 35043, France
e-mail: eric.courteille@insa-rennes.fr

Dominique Deblaise

Université Européenne de Bretagne,
INSA-LGCGM-EA 3913,
20, avenue des Buttes de Cöesmes,
Rennes Cedex 35043, France
e-mail: dominique.deblaise@insa-rennes.fr

1Corresponding author.

Manuscript received July 13, 2015; final manuscript received November 15, 2015; published online March 7, 2016. Assoc. Editor: Federico Thomas.

J. Mechanisms Robotics 8(4), 041004 (Mar 07, 2016) (8 pages) Paper No: JMR-15-1199; doi: 10.1115/1.4032104 History: Received July 13, 2015; Revised November 15, 2015

This paper addresses the force distribution of redundantly actuated cable-driven parallel robots (CDPRs). A new and efficient method is proposed for the determination of the lower-boundary of cable forces, including the pose-dependent lower-boundaries. In addition, the effect of cable sag is considered in the calculation of the force distribution to improve the computational accuracy. Simulations are made on a 6DOF CDPR driven by eight cables to demonstrate the validity of the proposed method. Results indicate that the pose-dependent lower-boundary method is more efficient than the fixed lower-boundary method in terms of minimizing the motor size and reducing energy consumption.

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Copyright © 2016 by ASME
Topics: Cables , End effectors
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References

Merlet, J.-P. , 2006, Parallel Robots, Vol. 128, Springer, Dordrecht.
Gosselin, C. , 1990, “ Stiffness Mapping for Parallel Manipulators,” IEEE Trans. Rob. Autom., 6(3), pp. 377–382. [CrossRef]
Pott, A. , 2010, “ An Algorithm for Real-Time Forward Kinematics of Cable-Driven Parallel Robots,” Advances in Robot Kinematics: Motion in Man and Machine, Springer, Dordrecht, pp. 529–538.
Gouttefarde, M. , Daney, D. , and Merlet, J.-P. , 2011, “ Interval-Analysis-Based Determination of the Wrench-Feasible Workspace of Parallel Cable-Driven Robots,” IEEE Trans. Rob., 27(1), pp. 1–13. [CrossRef]
Kawamura, S. , and Ito, K. , 1993, “ A New Type of Master Robot for Teleoperation Using a Radial Wire Drive System,” IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 1993), Yokohama, Japan, July 26–30, Vol. 1, pp. 55–60.
Gosselin, C. , and Grenier, M. , 2011, “ On the Determination of the Force Distribution in Overconstrained Cable-Driven Parallel Mechanisms,” Meccanica, 46(1), pp. 3–15. [CrossRef]
Mikelsons, L. , Bruckmann, T. , Hiller, M. , and Schramm, D. , 2008, “ A Real-Time Capable Force Calculation Algorithm for Redundant Tendon-Based Parallel Manipulators,” IEEE International Conference on Robotics and Automation (ICRA 2008), Pasadena, CA, May 19–23, pp. 3869–3874.
Pott, A. , Bruckmann, T. , and Mikelsons, L. , 2009, “ Closed-Form Force Distribution for Parallel Wire Robots,” Computational Kinematics, Springer, Berlin, pp. 25–34.
Khosravi, M. , and Taghirad, H. , 2013, “ Robust PID Control of Cable-Driven Robots With Elastic Cables,” First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM 2013), Tehran, Iran, Feb. 13–15, pp. 331–336.
Oh, S.-R. , and Agrawal, S. K. , 2005, “ Cable Suspended Planar Robots With Redundant Cables: Controllers With Positive Tensions,” IEEE Trans. Rob., 21(3), pp. 457–465. [CrossRef]
Bruckmann, T. , Pott, A. , and Hiller, M. , 2006, “ Calculating Force Distributions for Redundantly Actuated Tendon-Based Stewart Platforms,” Advances in Robot Kinematics, Springer, Dordrecht, pp. 403–412.
Kawamura, S. , Choe, W. , Tanaka, S. , and Pandian, S. R. , 1995, “ Development of an Ultrahigh Speed Robot FALCON Using Wire Drive System,” IEEE International Conference on Robotics and Automation (ICRA 1995), Vol. 1, Nagoya, Japan, May 21–27, pp. 215–220.
Fang, S. , Franitza, D. , Torlo, M. , Bekes, F. , and Hiller, M. , 2004, “ Motion Control of a Tendon-Based Parallel Manipulator Using Optimal Tension Distribution,” IEEE/ASME Trans. Mechatronics, 9(3), pp. 561–568. [CrossRef]
Hassan, M. , and Khajepour, A. , 2008, “ Optimization of Actuator Forces in Cable-Based Parallel Manipulators Using Convex Analysis,” IEEE Trans. Rob., 24(3), pp. 736–740. [CrossRef]
Lim, W. B. , Yang, G. , Yeo, S. H. , and Mustafa, S. K. , 2011, “ A Generic Force-Closure Analysis Algorithm for Cable-Driven Parallel Manipulators,” Mech. Mach. Theory, 46(9), pp. 1265–1275. [CrossRef]
Yuan, H. , Courteille, E. , and Deblaise, D. , 2015, “ Static and Dynamic Stiffness Analyses of Cable-Driven Parallel Robots With Non-Negligible Cable Mass and Elasticity,” Mech. Mach. Theory, 85, pp. 64–81. [CrossRef]
Pott, A. , 2014, “ On the Limitations on the Lower and Upper Tensions for Cable-Driven Parallel Robots,” Advances in Robot Kinematics, J. Lenarčič and O. Khatib , eds., Springer International Publishing, Cham, Switzerland, pp. 243–251.
Arsenault, M. , 2013, “ Workspace and Stiffness Analysis of a Three-Degree-of-Freedom Spatial Cable-Suspended Parallel Mechanism While Considering Cable Mass,” Mech. Mach. Theory, 66, pp. 1–13. [CrossRef]
Irvine, H. , 1992, Cable Structures, Dover Books on Engineering, Dover Publications, Portland, OR.
Yuan, H. , Courteille, E. , and Deblaise, D. , 2014, “ Elastodynamic Analysis of Cable-Driven Parallel Manipulators Considering Dynamic Stiffness of Sagging Cables,” IEEE International Conference on Robotics and Automation (ICRA 2014), Hong Kong, May 31–June 7, pp. 4055–4060.
Bruckmann, T. , Sturm, C. , and Lalo, W. , 2010, “ Wire Robot Suspension Systems for Wind Tunnels,” Wind Tunnels and Experimental Fluid Dynamics Research, InTech, Rijeka, Croatia, pp. 29–50.
Du, J. , Bao, H. , Cui, C. , and Yang, D. , 2012, “ Dynamic Analysis of Cable-Driven Parallel Manipulators With Time-Varying Cable Lengths,” Finite Elements in Analysis and Design, 48(1), pp. 1392–1399. [CrossRef]
Irvine, H. M. , 1978, “ Free Vibrations of Inclined Cables,” J. Struct. Div., 104(2), pp. 343–347.
Starossek, U. , 1991, “ Dynamic Stiffness Matrix of Sagging Cable,” J. Eng. Mech., 117(12), pp. 2815–2828. [CrossRef]
Nemirovskii, A. , and Yudin, D. , 1983, Problem Complexity and Method Efficiency in Optimization, Wiley-Interscience Series in Discrete Mathematics, Chichester, UK.
Nahon, M. A. , and Angeles, J. , 1992, “ Real-Time Force Optimization in Parallel Kinematic Chains Under Inequality Constraints,” IEEE Trans. Rob. Autom., 8(4), pp. 439–450. [CrossRef]

Figures

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Fig. 1

Kinematic model of a general CDPR considering cable sag

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Fig. 2

Flow chart of the force distribution of CDPRs

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Fig. 3

Configuration of the 6DOF CDPR driven by eight cables

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Fig. 4

Force determination of the first cable: comparison between the ideal model and the nonideal sagging model 9. (a) Cable forces by two models, (b) absolute difference, and (c) relative difference.

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Fig. 5

Effect of sag level on the error of force determination (relative error between the ideal model and the nonideal sagging model)

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Fig. 6

The variation of the lower-boundary along the trajectory: the solid lines represent the results of the fixed lower-boundary and the dash lines represent the results of the pose-dependent lower-boundary. (a) First cable, (b) second cable, (c) third cable, (d) fourth cable, (e) fifth cable, (f) sixth cable, (g) seventh cable, and (h) eighth cable.

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Fig. 7

The variation of the cable force along the trajectory: the solid lines represent the results of the fixed lower-boundary and the dash lines represent the results of the pose-dependent lower-boundary. (a) First cable, (b) second cable, (c) third cable, (d) fourth cable, (e) fifth cable, (f) sixth cable, (g) seventh cable, and (h) eighth cable.

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Fig. 8

The energy consumption of the CDPR along the trajectory: the solid lines represent the results of the fixed lower-boundary and the dash lines represent the results of the pose-dependent lower-boundary

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