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Oscillation Reduction and Frequency Analysis of Under-Constrained Cable-Driven Parallel Robot with Three Cables

Published online by Cambridge University Press:  07 June 2019

Sung Wook Hwang ,
Jeong-Hyeon Bak ,
Jonghyun Yoon  and
Jong Hyeon Park
Sung Wook Hwang
Affiliation:
Department of Mechanical Engineering, Hanyang University, Seoul, Korea. E-mails: [email protected], [email protected], [email protected]
Jeong-Hyeon Bak
Affiliation:
Department of Mechanical Engineering, Hanyang University, Seoul, Korea. E-mails: [email protected], [email protected], [email protected]
Jonghyun Yoon
Affiliation:
Department of Mechanical Engineering, Hanyang University, Seoul, Korea. E-mails: [email protected], [email protected], [email protected]
Jong Hyeon Park*
Affiliation:
Department of Mechanical Engineering, Hanyang University, Seoul, Korea. E-mails: [email protected], [email protected], [email protected]
*
*Corresponding author. E-mail: [email protected]
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Summary

Cable-driven parallel robots (CDPRs) possess a lot of advantages over conventional parallel manipulators and link-based robot manipulators in terms of acceleration due to their low inertia. This paper deals with under-constrained CDPRs, which manipulate the end-effector to carrying the payload by using a number of cables less than six, often used preferably owing to their simple structures. Since a smaller number of cables than six are used, the end-effector of CDPR has uncontrollable degrees of freedom and that causes swaying motion and oscillations. In this paper, a scheme to curb on the unwanted oscillation of the end-effector of the CDPR with three cables is proposed based on multimode input shaping. The precise dynamic model of the under-constrained CDPR is obtained to find natural frequencies, which depends on the position of the end-effector. The advantage of the proposed method is that it is practicable to generate the trajectories for vibration suppression based on multi-mode input-shaping scheme in spite of the complexity in the dynamics and the difficulty in computing the natural frequencies of the CDPR, which are required in any input-shaping scheme. To prove the effectiveness of the proposed method, computer simulations and experiments were carried out by using 3-D motion for CDPR with three cables.

Keywords

Under-constrained cable-driven parallel robotInput shapingVibrationNatural frequencyTrajectory generation
Type
Articles
Information
Robotica , Volume 38 , Issue 3 , March 2020 , pp. 375 - 395
Copyright
© Cambridge University Press 2019 

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References

Pott, A., Meyer, C. and Verl, A., “Large-Scale Assembly of Solar Power Plants with Parallel Cable Robots,” International Symposium on Robotics (ISR) and 6th German Conference on Robotics (ROBOTIK), Munich, Germany (2010) pp. 1–6.Google Scholar
Williams, R. and Robert, L., “Five-hundred meter aperture spherical radio telescope (FAST) cable-suspended robot model and comparison with the arecibo observatory,” Internet Publication (2015).Google Scholar
Albus, J., Bostelman, R. and Dagalakis, N., “The NIST robocrane,” J. Field Robot. 10(5), 709–724 (1993).Google Scholar
Roberts, R. G., Graham, T. and Lippitts, T., “On the inverse kinematics, statics, and fault tolerance of cable-suspended robots,” J. Field Robot. 15(10), 581–597 (1998).Google Scholar
Kawamura, S., Kino, H. and Won, C., “High-speed manipulation by using parallel wire-driven robots,” Robotica 18(1), 13–21 (2000).CrossRefGoogle Scholar
Tadokoro, S., Murao, Y., Hiller, M., Murata, R., Kohkawa, H. and Matsushima, T., “A motion base with 6-DOF by parallel cable drive architecture,” IEEE-ASME T. Mech. 7(2), 115–123 (2002).CrossRefGoogle Scholar
Hiller, M., Fang, S., Mielczarek, S., Verhoeven, R. and Franitza, D., “Design, analysis and realization of tendon-based parallel manipulators,” Mech. Mach. Theory 40(4), 429–445 (2005).CrossRefGoogle Scholar
Alikhani, A., Behzadipour, S., Vanini, S. A. S. and Alasty, A., “Workspace analysis of a three DOF cable-driven mechanism,” J. Mech. Robot. 1(4), 0410051–0410057 (2009).CrossRefGoogle Scholar
Surdilovic, D., Zhang, J. and Bernhardt, R., “STRING-MAN: Wire-Robot Technology for safe, flexible and Human-Friendly Gait Rehabilitation,” IEEE International Conference on Rehabilitation Robotics, Noordwijk, Netherlands (2007) pp. 446–453.Google Scholar
Rosati, G., Gallina, P. and Masiero, S., “Design, implementation and clinical tests of a wire-based robot for neurorehabilitation,” IEEE Trans. Neural. Syst. Rehabil. Eng. 15(4), 560–569 (2007).CrossRefGoogle ScholarPubMed
Merlet, J.-P. and Daney, D., “A Portable, Modular Parallel Wire Crane for Rescue Operations,” IEEE International Conference on Robotics and Automation, Anchorage, AK, USA (2010) pp. 2834–2839.Google Scholar
Gobbi, M., Mastinu, G. and Previati, G., “A method for measuring the inertia properties of rigid bodies,” Mech. Syst. Signal Process. 25(1), 305–318 (2011).CrossRefGoogle Scholar
McCarthy, J. M., “21st century kinematics: synthesis, compliance, and tensegrity,” J. Mech. Robot. 3(2), 020201 (2011).CrossRefGoogle Scholar
Carricato, M., “Direct geometrico-static problem of underconstrained cable-driven parallel robots with three cables,” J. Mech. Robot. 5(3), 031008 (2013).CrossRefGoogle Scholar
Carricato, M. and Abbasnejad, G., “Direct geometrico-static analysis of under-constrained cable-driven parallel robots with 4 cables,” In: Cable-Driven Parallel Robots (Bruckmann, T. and Pott, A., eds) (Springer, Berlin, Heidelberg, 2013) pp. 269–285.CrossRefGoogle Scholar
Carricato, M. and Merlet, J.-P., “Geometrico-static analysis of under-constrained cable-driven parallel robots,” In: Advances in Robot Kinematics: Motion in Man and Machine (Lenarcic, J. and Stanisic, M. M., eds) (Springer, Dordrecht, 2010) pp. 309–319.CrossRefGoogle Scholar
Abbasnejad, G. and Carricato, M., “Real solutions of the direct geometrico-static problem of under-constrained cable-driven parallel robots with 3 cables: A numerical investigation,” Meccanica 47(7), 1761–1773 (2012).CrossRefGoogle Scholar
Berti, A., Merlet, J.-P. and Carricato, M., “Solving the direct geometrico-static problem of 3-3 cable-driven parallel robots by interval analysis: Preliminary results,” In: Cable-Driven Parallel Robots (Bruckmann, T. and Pott, A., eds), (Springer, Berlin, Heidelberg, 2013) pp. 251–268.CrossRefGoogle Scholar
Abbasnejad, G. and Carricato, M., “Direct geometrico-static problem of underconstrained cable-driven parallel robots with n cables,” IEEE T. Robot. 31(2), 468–478 (2015).CrossRefGoogle Scholar
Carricato, M., Abbasnejad, G. and Walter, D., “Inverse geometrico-static analysis of under-constrained cable-driven parallel robots with four cables,” In: Latest Advances in Robot Kinematics (Lenarcic, J. and Husty, M., eds), (Springer, Dordrecht, 2012) pp. 365–372.CrossRefGoogle Scholar
Carricato, M., “Inverse geometrico-static problem of underconstrained cable-driven parallel robots with three cables,” J. Mech. Robot. 5(3), 031002 (2013).CrossRefGoogle Scholar
Carricato, M. and Merlet, J.-P., “Stability analysis of underconstrained cable-driven parallel robots,” IEEE T. Robot. 29(1), 288–296 (2013).CrossRefGoogle Scholar
Berti, A., Merlet, J.-P. and Carricato, M., “Solving the direct geometrico-static problem of underconstrained cable-driven parallel robots by interval analysis,” Int. J. Rob. Res. 35(6), 723–739 (2016).CrossRefGoogle Scholar
Zarei, M., Aflakian, A., Kalhor, A. and T. Masouleh, M., “Oscillation damping of nonlinear control systems based on the phase trajectory length concept: An experimental case study on a cable-driven parallel robot,” Mech. Mach. Theory 126, 377–396 (2018).CrossRefGoogle Scholar
Yanai, N., Yamamoto, M. and Mohri, A., “Inverse Dynamics Analysis and Trajectory Generation of Incompletely Restrained Wire-Suspended Mechanisms,” IEEE International Conference on Robotics and Automation, vol. 4, Seoul, South Korea (2001) pp. 3489–3494.Google Scholar
Yamamoto, M., Yanai, N. and Mohri, A., “Trajectory control of incompletely restrained parallel-wire-suspended mechanism based on inverse dynamics,” IEEE T. Robot. 20(5), 840–850 (2004).CrossRefGoogle Scholar
Heyden, T. and Woernle, C., “Dynamics and flatness-based control of a kinematically undetermined cable suspension manipulator,” Multibody Syst. Dyn. 16(2), 155 (2006).CrossRefGoogle Scholar
Yamamoto, M., Yanai, N. and Mohri, A., “Inverse Dynamics and Control of Crane-Type Manipulator,” IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 2, Kyongju, South Korea (1999) pp. 1228–1233.Google Scholar
Gosselin, C., Ren, P. and Foucault, S., “Dynamic Trajectory Planning of a Two-DOF Cable-Suspended Parallel Robot,” IEEE International Conference on Robotics and Automation, Saint Paul, MN, USA (2012) pp. 1476–1481.Google Scholar
Gosselin, C., “Global planning of dynamically feasible trajectories for three-DOF spatial cable-suspended parallel robots,” In: Cable-Driven Parallel Robots (Bruckmann, T. and Pott, A., eds), (Springer, Berlin, Heidelberg, 2013) pp. 3–22.CrossRefGoogle Scholar
Gosselin, C. and Foucault, S., “Dynamic point-to-point trajectory planning of a two-DOF cable-suspended parallel robot,” IEEE T. Robot. 30(3), 728–736 (2014).CrossRefGoogle Scholar
Zhang, N. and Shang, W., “Dynamic trajectory planning of a 3-DOF under-constrained cable-driven parallel robot,” Mech. Mach. Theory 98, 21–35 (2016).CrossRefGoogle Scholar
Park, J., Kwon, O. and H. Park, J., “Anti-sway trajectory generation of incompletely restrained wire-suspended system,” J. Mech. Sci. Technol. 27(10), 3171–3176 (2013).CrossRefGoogle Scholar
Ramli, L., Mohamed, Z. and Jaafar, H., “A neural network-based input shaping for swing suppression of an overhead crane under payload hoisting and mass variations,” Mech. Syst. Signal Process. 107, 484–501 (2018).CrossRefGoogle Scholar
Idá, E., Berti, A., Bruckmann, T. and Carricato, M., “Rest-to-rest trajectory planning for planar underactuated cable-driven parallel robots,” In: Cable-Driven Parallel Robots (Gosselin, C., Cardou, P., Bruckmann, T. and Pott, A., eds), (Springer, Cham, 2018) pp. 207–218.CrossRefGoogle Scholar
Hwang, S. W., Bak, J.-H., Yoon, J., Park, J. H. and Park, J.-O., “Trajectory generation to suppress oscillations in under-constrained cable-driven parallel robots,” J. Mech. Sci. Technol. 30(12), 5689–5697 (2016).CrossRefGoogle Scholar
Chen, C.-T., Linear System Theory and Design (Oxford University Press, New York, NY, 1998).Google Scholar
Tuttle, T. D. and Seering, W. P., “A Zero-Placement Technique for Designing Shaped Inputs to Suppress Multiple-Mode Vibration,” Proceedings of American Control Conference, Baltimore, MD, USA (1994) pp. 2533–2537.Google Scholar
Pao, L. Y., “Multi-input shaping design for vibration reduction,” Automatica 35(1), 81–89 (1999).CrossRefGoogle Scholar
Singh, T. and Singhose, W., “Input shaping/time delay control of maneuvering flexible structures,” Proceedings of the 2002 American Control Conference, Anchorage, AK, USA (2002) pp. 1717–1731.Google Scholar