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A Review of Dynamic Balancing for Robotic Mechanisms

Published online by Cambridge University Press:  11 March 2020

Bin Wei*
Affiliation:
York University, 4700 Keele Street, Toronto, ONM3J 1P3, Canada E-mail: [email protected]
Dan Zhang
Affiliation:
York University, 4700 Keele Street, Toronto, ONM3J 1P3, Canada E-mail: [email protected]
*
*Corresponding author. E-mail: [email protected]
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Summary

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The authors summarize the main dynamic balancing methods of robotic mechanisms in this paper. The majority of dynamic balancing methods have been presented, and there may be other dynamic balancing methods that are not included in this paper. Each of the balancing methods is reviewed and discussed. The advantages and disadvantages of each method are presented and compared. The goal of this paper is to provide an overview of recent research in balancing. The authors hope that this study can provide an informative reference for future research in the direction of dynamic balancing of robotic mechanisms.

Type
Articles
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press

References

Berkof, R. S. and Lowen, G. G., “A new method for completely force balancing simple linkages,” J. Eng. Ind. 91(B), 2126 (1969).Google Scholar
Berkof, R. S., “Complete force and moment balancing of inline four-bar linkages,” Mech. Mach Theory 8(3), 397410 (1973).Google Scholar
Lowen, G. G. and Berkof, R. S., “Survey of investigations into the balancing of linkages,” J. Mech. 3(4), 221231 (1968).Google Scholar
Ricard, R. and Gosselin, C. M., “On the Development of Reactionless Parallel Manipulators,” Proceedings of ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, USA (2000) pp. 1–10.Google Scholar
Yoshida, K., Hashizume, K. and Abiko, S., “Zero Reaction Maneuver: Flight Validation with ETS-VII Space Robot and Extension to Kinematically Redundant Arm,” Proceedings of IEEE International Conference on Robotics and Automation (2001) pp. 441–446.Google Scholar
Xi, F. and Sinatra, R., “Effect of dynamic balancing on four-bar linkage vibrations,” Mech. Mach. Theory 32(6), 715728 (1997).CrossRefGoogle Scholar
Xi, F. and Qin, Z., “An integrated approach for design and analysis of a fluid mixer,” Comput. Aided Des. 30(13), 10371045 (1998).CrossRefGoogle Scholar
Yu, S. D. and Xi, F., “Effect of balancing on dynamic instability of high-speed flexible four-bar mechanisms,” CSME Trans. 26(2), 139162 (2002).Google Scholar
Gosselin, C., Moore, B. and Schicho, J., “Dynamic balancing of planar mechanisms using toric geometry,” J. Symb. Comput. 44(9), 13461358 (2009).Google Scholar
Gosselin, C., “Gravity Compensation, Static Balancing and Dynamic Balancing of Parallel Mechanisms,” In: Smart Devices and Machines for Advanced Manufacturing (Wang, L. and Xi, J., eds.) (Springer, London, 2008) pp. 2748.CrossRefGoogle Scholar
Gosselin, C., “Static balancing of spherical 3-DOF parallel mechanisms and manipulators,” Int. J. Robot. Res. 18(8), 819829 (1999).CrossRefGoogle Scholar
Herder, J. and Wijk, V., Force balanced delta robot. Patent NL2002839 (2010).Google Scholar
Zhang, D. and Wei, B., “Discussion and Analysis of Main Dynamic Balancing Methods for Robotic Manipulators,” Proceedings of ASME 2016 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Charlotte, USA (2016) Paper no: V006T09A009, 7 p.Google Scholar
Fischer, O., Theoretische grundlagen für eine Mechanik der lebenden Körper (Teubner, Leipzig, 1906).Google Scholar
Wijk, V., Methodology for Analysis and Synthesis of Inherently Force and Moment-Balanced Mechanisms - Theory and Applications, Ph.D. Dissertation (University of Twente, Netherlands, 2004).Google Scholar
Fattah, A. and Agrawal, S. K., “Design and Modeling of Classes of Spatial Reactionless Manipulators,” Proceedings of IEEE International Conference on Robotics and Automation (2003) pp. 3225–3230.Google Scholar
Fattah, A. and Agrawal, S. K., “Design and simulation of a class of spatial reactionless manipulators,” Robotica 23(1), 7581 (2005).CrossRefGoogle Scholar
Agrawal, S. K. and Fattah, A., “Reactionless space and ground robots: Novel designs and concept studies,” Mech. Mach. Theory 39(1), 2540 (2004).CrossRefGoogle Scholar
Wijk, V., Krut, S., Pierrot, F. and Herder, J. L., “Design and experimental evaluation of a dynamically balanced redundant planar 4-RRR parallel manipulator,” Int. J. Robot. Res. 32(6), 744759 (2013).CrossRefGoogle Scholar
Zhang, D. and Wei, B., “Review of Recent Advances on Reactionless Mechanisms and Parallel Robots,” In: Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots (Zhang, D. and Wei, B., eds.) (Springer, Cham, 2016) pp. 119.CrossRefGoogle Scholar
Wu, Y. and Gosselin, C., “Synthesis of reactionless spatial 3-DOF and 6-DOF mechanisms without separate counter-rotations,” Int. J. Robot. Res. 23(6), 625642 (2004).CrossRefGoogle Scholar
Lecours, A. and Gosselin, C., “Reactionless two-degree-of-freedom planar parallel mechanisms with variable payload,” ASME J. Mech. Robot. 2(4), 041010 (2010).CrossRefGoogle Scholar
Wu, Y., Synthesis and Analysis of Reactionless Spatial Parallel Mechanisms, Ph.D. Dissertation (Laval University, 2003).Google Scholar
Gosselin, C., Vollmer, F., Cote, G. and Wu, Y., “Synthesis and design of reactionless three-degree of freedom parallel mechanisms,” IEEE Trans. Robot. Autom. 20(2), 191199 (2004).CrossRefGoogle Scholar
Filaretov, V. and Vukobratovic, M., “Static balancing and dynamic decoupling of the motion of manipulation robots,” Mechatronics 3(6), 767782 (1993).CrossRefGoogle Scholar
Walker, M. and Oldham, K., “A general theory of force balancing using counterweights,” Mecha. Mach. Theory 13(2), 175185 (1978).CrossRefGoogle Scholar
Oldham, K. and Walker, M., “A procedure for force-balancing planar linkages using counterweights,” J. Mecha. Eng. Sci. 20(4), 177182 (1978).CrossRefGoogle Scholar
Xi, F., “Dynamic balancing of hexapods for high-speed applications,” Robotica 17(3), 335342 (1999).CrossRefGoogle Scholar
Chaudhary, H. and Saha, S., “An optimization technique for the balancing of spatial mechanisms,” Mecha. Mach. Theory 43, 506522 (2008).CrossRefGoogle Scholar
Bagci, C., “Complete shaking force and shaking moment balancing of link mechanisms using balancing idler loops,” J. Mech. Des. 104, 482493 (1982).Google Scholar
Berestov, L., Full Dynamic Balancing of Pinned Four-Bar Linkage. Izvestiya Vysshikh Uchebnykh Zavedenii. Series: Machinostroenie, vol. 11 (1975), pp. 62–65.Google Scholar
Tah, C., Yong, L. and Alves, V., “Decoupling of dynamic equations by means of adaptive balancing of 2-dof open-loop mechanisms,” Mecha. Mach. Theory 39(8), 871881 (2004).Google Scholar
Acevedo, M., Ceccarelli, M. and Carbone, G., “Application of counter-rotary counterweights to the dynamic balancing of a spatial parallel manipulator,” Appl. Mech. Mater. 162, 224233 (2012).CrossRefGoogle Scholar
Arakelian, V. and Sargsyan, S., “On the design of serial manipulators with decoupled dynamics,” Mechatronics 22(6), 904909 (2012).CrossRefGoogle Scholar
Kochev, I., “General theory of complete shaking moment balancing of planar linkages: A critical review,” Mecha. Mach. Theory 35(11), 15011514 (2000).CrossRefGoogle Scholar
Moore, B., Schicho, J. and Gosselin, C., “Determination of the complete set of shaking force and shaking moment balanced planar four-bar linkages,” Mecha. Mach. Theory 44(7), 13381347 (2009).CrossRefGoogle Scholar
Zhang, D. and Wei, B., “Dynamic Balancing of Parallel Manipulators through Reconfiguration,” Proceedings of ASME 2015 Dynamic Systems and Control Conference (2015) pp. 1–9, Paper No: V003T43A001, doi: 10.1115/DSCC2015-9669.CrossRefGoogle Scholar
Foucault, S. and Gosselin, C., “Synthesis, design, and prototyping of a planar three degree-of-freedom reactionless parallel mechanism,” ASME J. Mech. Des. 126(6), 992999 (2005).CrossRefGoogle Scholar
Gao, F., “Complete shaking force and shaking moment balancing of 26 types of four-, five- and six-bar linkages with prismatic pairs,” Mech. Mach. Theory 25(2), 183192 (1990).Google Scholar
Gao, F., “Complete shaking force and shaking moment balancing of 17 types of eight-bar linkages only with revolute pairs,” Mech. Mach. Theory 26(2), 197206 (1991).Google Scholar
Arakelian, V. H. and Smith, M. R., “Design of planar 3-DOF 3-RRR reactionless parallel manipulators,” Mechatronics 18(10), 601606 (2008).CrossRefGoogle Scholar
Zhang, D. and Wei, B., “Synthesizing of reactionless flexible mechanisms for space applications,” Int. J. Space Sci. Eng. 5(1), 115 (2018).CrossRefGoogle Scholar
Arakelian, V., Briot, S., Yatsun, S., et al., “A New 3-DoF Planar Parallel Manipulator with Unlimited Rotation Capability,” Proceedings of the 13th World Congress in Mechanism and Machine Science, Mexico (2011) pp. 18.Google Scholar
Arakelian, V. and Smith, M., “Complete shaking force and shaking moment balancing of linkages,” Mech. Mach. Theory 34(8), 11411153 (1999).CrossRefGoogle Scholar
Nehemiah, P., “Complete shaking force and shaking moment balancing of 3 types of four-bar linkagesInt. J. Curr. Eng. Tech. 4(6), 275287 (2014).Google Scholar
Nehemiah, P., Rao, B. and Ramji, K., “Shaking force and shaking moment balancing of planar mechanisms with high degree of complexity,” Jordan J. Mech. Ind. Eng. 6(1), 1724 (2012).Google Scholar
Wu, Y. N. and Gosselin, C., “Design of reactionless 3-DOF and 6-DOF parallel manipulators using parallelepiped mechanisms,” IEEE Trans. Robot. 21(5), 821833 (2005).Google Scholar
Briot, S. and Arakelian, V., “Complete shaking force and shaking moment balancing of in-line four bar linkages by adding a class-two RRR or RRP Assur group,” Mech. Mach. Theory 57, 1326 (2012).CrossRefGoogle Scholar
Briot, S., Bonev, I. A., Gosselin, C. M. and Arakelian, V., “Complete shaking force and shaking moment balancing of planar parallel manipulators with prismatic pairs,” Proc. Inst. Mech. Eng. Part K 223(1), 4352 (2009).Google Scholar
Wang, J. and Gosselin, C., “Static balancing of spatial three-degree-of-freedom parallel mechanisms,” Mech. Mach. Theory 34(3), 437452 (1999).CrossRefGoogle Scholar
Laliberte, T., Gosselin, C. and Jean, M., “Static balancing of 3-DOF planar parallel mechanism,” IEEE/ASME Trans. Mech. 4(4), 363377 (1999).CrossRefGoogle Scholar
Ebert-Uphoff, I., Gosselin, C. and Laliberte, T., “Static balancing of spatial platform mechanism–revisit,” J. Mech. Des. 122(1), 4351 (2000).CrossRefGoogle Scholar
Russo, A., Sinatra, R. and Xi, F. F., “Static balancing of parallel robots,” Mech. Mach. Theory 40(2), 191202 (2005).CrossRefGoogle Scholar
Alici, G. and Shirinzadeh, B., “Optimum Force Balancing with Mass Distribution and a Single Elastic Element for a Five-bar Parallel Manipulator,” 2003 IEEE International Conference on Robotics and Automation (2003), pp. 3666–3671.Google Scholar
Alici, G. and Shirinzadeh, B., “Optimum force balancing of a planar parallel manipulator,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 217(5), 515524 (2003).CrossRefGoogle Scholar
Streit, D. A. and Gilmore, B. J., “Perfect spring equilibrators for rotatable bodies,” J. Mech. Transm. Autom. Des. 111(4) (1989). doi:10.1115/1.3259020.CrossRefGoogle Scholar
Arakelian, V., “Shaking force and shaking moment balancing in robotics: A critical review,” Mech. Mach. Sci. 22, 149157 (2014).CrossRefGoogle Scholar
Wijk, V. and Herder, J., “Double Pendulum Balanced by Counter-Rotary Counter-Masses as Useful Element for Synthesis of Dynamically Balanced Mechanisms,” Proceedings of the ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Brooklyn, NY (2008) pp. 453–463.Google Scholar
Wijk, V. and Herder, J., “Guidelines for Low Mass and Low Inertia Dynamic Balancing of Mechanisms and Robotics,” In: Advances in Robotics Research (Kröger, T. and Wahl, F. M., eds) (Springer, Berlin, Heidelberg, 2009) pp. 2130.CrossRefGoogle Scholar
Wijk, V., Demeulenaere, B., Gosselin, C., et al., “Comparative analysis for low-mass and low-inertia dynamic balancing of mechanisms,” ASME J. Mech. Robot. 4 (2012). doi: 10.1115/1.4006744.CrossRefGoogle Scholar
Herder, J. and Gosselin, C., “A Counter-Rotary Counterweight (CRCM) for Light-Weight Dynamic Balancing,” Proceedings of DETC 2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, USA (2004) pp. 1–9.Google Scholar
Herder, J., Systems, Reaction-Free. Principles, Conception and Design of Dynamically Balanced Mechanisms, Technical Report (Laval University, 2003).Google Scholar
Wijk, V., Demeulenaere, B. and Herder, J., “Comparison of various dynamic balancing principles regarding additional mass and additional inertia,” ASME J. Mech. Robot. 1(4), 041006-1-9 (2009).Google Scholar
Wijk, V. and Herder, J., “Synthesis of dynamically balanced mechanisms by using counter-rotary counter-mass balanced double pendula,” ASME J. Mech. Des. 131(11), 111003-1-8 (2009).Google Scholar
Laliberte, T. and Gosselin, C., “Dynamic Balancing of Two-DOF Parallel Mechanisms using a Counter-Mechanism,” Proceedings of ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Portland (2013). doi:10.1115/DETC2013-12107.CrossRefGoogle Scholar
Laliberte, T. and Gosselin, C., “Synthesis, optimization and experimental validation of reactionless two-DOF parallel mechanisms using counter-mechanisms,” Meccanica 51, 32113225 (2016). doi: 10.1007/s11012-016-0582-0.CrossRefGoogle Scholar
Wijk, V. and Herder, J., “Dynamic Balancing of Mechanisms by using an Actively Driven Counter-Rotary Counter-Mass for Low Mass and Low Inertia,” Proceedings of the Second International Workshop on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators, France (2008) pp. 241–251.Google Scholar
Wijk, V. and Herder, J., “Active Dynamic Balancing Unit for Controlled Shaking Force and Shaking Moment Balancing,” Proceedings of the ASME Design Engineering Technical Conference (2010) pp. 1515–1522.Google Scholar
Dresig, H. and Dien, N., “Complete shaking force and shaking moment balancing of mechanisms using a moving rigid body,” Technische Mechanik 31(2), 121131 (2011).Google Scholar
Wang, K., Luo, M. and Mei, T., “Dynamics analysis of a three-DOF planar serial-parallel mechanism for active dynamic balancing with respect to a given trajectory,” Int. J. Adv. Robot. Syst. 10(23), 110 (2013).CrossRefGoogle Scholar
Wijk, V. and Herder, J., “Dynamic Balancing of Clavel's Delta Robot,” In: Computational Kinematics (Kecskeméthy, A. and Müller, A., eds) (Springer, Berlin, Heidelberg, 2009) pp. 315322.CrossRefGoogle Scholar
Briot, S. and Arakelian, V., “Complete Shaking Force and Shaking Moment Balancing of the Position-Orientation Decoupled PAMINSA Manipulator,” Proceedings of the IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Singapore (2009) pp. 1521–1526.Google Scholar
Arakelian, V. and Briot, S., “Dynamic Balancing of the SCARA Robot,” The 17-th CISM-IFToMM Symposium on Robot Design, Dynamics and Control (RoManSy 2008), Tokyo, Japan (2008) pp. 167–174.Google Scholar
Fattah, A. and Agrawal, S., “On the design of reactionless 3-DOF planar parallel mechanisms,” Mech. Mach. Theory 21(1), 7082 (2006).CrossRefGoogle Scholar
Papadopoulos, E. and Abu-Abed, A., “Design and Motion Planning for a Zero-Reaction Manipulator,” Proceedings of the 1994 IEEE International Conference on Robotics and Automation (1994) pp. 15541559.Google Scholar
Ouyang, P. R. and Zhang, W. J., “Force balancing of robotic mechanisms based on adjustment of kinematic parameters,” J. Mech. Des. 127, 433440 (2005).CrossRefGoogle Scholar
Alici, G. and Shirinzadeh, B., “Optimum Dynamic Balancing of Planar Parallel Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation, New Orleans (2004) pp. 4527–4531.Google Scholar
Alici, G. and Shirinzadeh, B., “Optimum dynamic balancing of planar parallel manipulators based on sensitivity analysis,” Mech. Mach. Theory 41, 15201532 (2006).CrossRefGoogle Scholar
Ilia, D., Cammarata, A. and Sinatra, R., “A Novel Formulation of the Dynamic Balancing of Five-Bar Linkages,” Proceedings of the 12th World Congress in Mechanism and Machine Science, France (2007) pp. 193–211.Google Scholar
Ilia, D. and Sinatra, R., “A novel formulation of the dynamic balancing of five-bar linkages with applications to link optimization,” Multibody Syst. Dyn. 21, 193211 (2009).CrossRefGoogle Scholar
Buganza, A. and Acevedo, M., “Dynamic Balancing of a 2-DOF 2RR Planar Parallel Manipulator by Optimization,13th World Congress in Mechanism and Machine Science, Guanajuato, Mexico (2011) pp. 1925.Google Scholar
Chaudhary, H. and Saha, S. K., “Balancing of four-bar linkages using maximum recursive dynamic algorithm,” Mech. Mach. Theory 42(2), 216232 (2007)CrossRefGoogle Scholar
Chaudhary, K. and Chaudhary, H., “Dynamic balancing of planar mechanisms using genetic algorithm,” J. Mech. Sci. Tech. 28(10), 42134220 (2014).CrossRefGoogle Scholar
Bi, Z. M. and Wang, L. H., “Optimal design of reconfigurable parallel machining systems,” Robot. Comput. Integr. Manuf. 25(6), 951961 (2009).CrossRefGoogle Scholar
Rosen, M. and Kishawy, H.A., “Sustainable manufacturing and design: Concepts, practices and needs,” Sustainability 4(2), 154174 (2012).CrossRefGoogle Scholar
Liang, Q. K., Zhang, D., Song, Q. and Ge, Y., “Design and Evaluation of a Novel Flexible Bio-Robotic Foot/Ankle Based on Parallel Kinematic Mechanism,” Proceedings of the 2010 IEEE International Conference on Mechatronics and Automation, Xi’an, China (2010) pp. 15481552.Google Scholar
Dong, W., Du, Z., Xiao, Y. and Chen, X., “Development of a parallel kinematic motion simulator platform,” Mechatronics 23(1), 154161 (2013).CrossRefGoogle Scholar
Zi, B., Yin, G. and Zhang, D., “Design and optimization of a hybrid-driven waist rehabilitation robot,” Sensors 16(12), 2121 (2016).CrossRefGoogle ScholarPubMed