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Optimal Design of the Three-Degree-of-Freedom Parallel Manipulator in a Spray-Painting Equipment

Published online by Cambridge University Press:  15 August 2019

Guang Yu ,
Jun Wu Open the ORCID record for Jun Wu [Opens in a new window] ,
Liping Wang  and
Ying Gao
Guang Yu
Affiliation:
Department of Mechanical Engineering, State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Tsinghua University, Beijing100084, China. E-mails: [email protected], [email protected], [email protected] Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Beijing, China
Jun Wu*
Affiliation:
Department of Mechanical Engineering, State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Tsinghua University, Beijing100084, China. E-mails: [email protected], [email protected], [email protected] Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Beijing, China
Liping Wang
Affiliation:
Department of Mechanical Engineering, State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Tsinghua University, Beijing100084, China. E-mails: [email protected], [email protected], [email protected] Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Beijing, China
Ying Gao
Affiliation:
Department of Mechanical Engineering, State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Tsinghua University, Beijing100084, China. E-mails: [email protected], [email protected], [email protected] Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Beijing, China
*
*Corresponding author. E-mail: [email protected]
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Summary

Spray-painting equipments are important for the automatic spraying of long conical objects such as rocket fairing. This paper proposes a spray-painting equipment that consists of a feed worktable, a gantry frame and two serial–parallel mechanisms and investigates the optimal design of PRR–PRR parallel manipulator in serial–parallel mechanisms. Based on the kinematic model of the parallel manipulator, the conditioning performance, workspace and accuracy performance indices are defined. The dynamic model is derived using virtual work principle and dynamic evaluation index is defined. The conditioning performance, workspace, accuracy performance and dynamic performance are involved in multi-objective optimization design to determine the optimal geometrical parameters of the parallel manipulator. Furthermore, the geometrical parameters of the gantry frame are optimized. An example is given to show how to determine these parameters by taking a long object with conical surface as painted object.

Keywords

Dynamic performanceGenetic algorithmMulti-objective optimizationParallel manipulatorWorkspace
Type
Articles
Information
Robotica , Volume 38 , Issue 6 , June 2020 , pp. 1064 - 1081
Copyright
© Cambridge University Press 2019

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References

Yu, Y. Q., Du, Z. C., Yang, J. X. and Li, Y, “An experimental study on the dynamics of a 3-RRR flexible parallel robot,” IEEE Trans. Rob. 27(5), 992–997 (2011).CrossRefGoogle Scholar
Wu, J, Chen, X. L. and Wang, L. P., “Design and dynamics of a novel solar tracker with parallel mechanism,” IEEE-ASME Trans. Mechatr. 21(1), 88–97 (2016).Google Scholar
Gosselin, C and Angeles, J, “The optimal kinematic design of a planar three-degree-of-freedom parallel manipulator,” J. Mech. Transm. Autom. Des. 110(1), 35–41 (1988).CrossRefGoogle Scholar
Yu, G, Wu, J and Wang, L, “Stiffness model of a 3-DOF parallel manipulator with two additional legs,” Int. J. Adv. Rob. Syst. 11(10), 173 (2014).CrossRefGoogle Scholar
Yu, G, Wang, L, Wu, J, Wang, D and Hu, C, “Stiffness modeling approach for a 3-DOF parallel manipulator with consideration of nonlinear joint stiffness,” Mech. Mach. Theory 123, 137–152 (2018).CrossRefGoogle Scholar
Wang, L, Yu, G and Wu, J, “A comparison study on the stiffness and natural frequency of a redundant parallel conveyor and its nonredundant counterpart,” Adv. Mech. Eng. 9(11), 1687814017733690 (2017).CrossRefGoogle Scholar
Wu, J, Wang, J, Wang, L and Li, T, “Dynamics and control of a planar 3-DOF parallel manipulator with actuation redundancy,” Mech. Mach. Theory 44(4), 835–849 (2009).CrossRefGoogle Scholar
Daniali, H. R. M., Zsombormurray, P. J. and Angeles, J, “Singularity analysis of planar parallel manipulators,” Mech. Mach. Theory 30(5), 665–678 (1995).CrossRefGoogle Scholar
Bonev, I. A., Zlatanov, D and Gosselin, C. M., “Singularity analysis of 3-DOF planar parallel mechanisms via screw theory,” Trans. ASME J. Mech. Des. 125(3), 573–581 (2003).CrossRefGoogle Scholar
Ji, Z. M., “Study of planar three-degree-of-freedom 2-RRR parallel manipulators,” Mech. Mach. Theory 38(5), 409–416 (2003).CrossRefGoogle Scholar
Ider, S. K., “Singularity robust inverse dynamics of planar 2-RPR parallel manipulators,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 218(7), 721–730 (2004).CrossRefGoogle Scholar
Huang, T, Li, M, Li, Z, Chetwynd, D. G. and Whitehouse, D. J., “Optimal kinematic design of 2-DOF parallel manipulators with well-shaped workspace bounded by a specified conditioning index,” IEEE Trans. Rob. Autom. 20(3), 538–543 (2004).CrossRefGoogle Scholar
Shao, Z. F., Tang, X. Q., Wang, L. P. and Sun, D. F., “Atlas based kinematic optimum design of the Stewart parallel manipulator,” Chin. J. Mech. Eng. 28(1), 20–28 (2015).CrossRefGoogle Scholar
Kelaiaia, R, Zaatri, A and Company, O, “Multiobjective optimization of 6-dof UPS parallel manipulators,” Adv. Rob. 26(16), 1885–1913 (2012).CrossRefGoogle Scholar
Huang, T, Li, Z. X., Li, M, Chetwynd, D. G. and Gosselin, C. M., “Conceptual design and dimensional synthesis of a novel 2-DOF translational parallel robot for pick-and-place operations,” J. Mech. Des. 126(3), 449–455 (2004).CrossRefGoogle Scholar
Xu, Q and Li, Y, “Design and analysis of a new singularity-free three-prismatic-revolute-cylindrical translational parallel manipulator,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 221(5), 565–577 (2007).CrossRefGoogle Scholar
Hao, F and Merlet, J. P., “Multi-criteria optimal design of parallel manipulators based on interval analysis,” Mech. Mach. Theory 40(2), 157–171 (2005).CrossRefGoogle Scholar
Liu, X. J., Li, J and Zhou, Y. H., “Kinematic optimal design of a 2-degree-of-freedom 3-parallelogram planar parallel manipulator,” Mech. Mach. Theory 87, 1–17 (2015).CrossRefGoogle Scholar
Kelaiaia, R, Company, O and Zaatri, A, “Multiobjective optimization of a linear delta parallel robot,” Mech. Mach. Theory 50, 159–178 (2012).CrossRefGoogle Scholar
Wu, J, Chen, X. L., Wang, L. P. and Liu, X. J., “Dynamic load-carrying capacity of a novel redundantly actuated parallel conveyor,” Nonlinear Dynam. 78(1), 241–250 (2014).CrossRefGoogle Scholar
Zhao, J. S., Chu, F. L. and Feng, Z. J., “Singularities within the workspace of spatial parallel mechanisms with symmetric structure,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 224(2), 459–472 (2010).CrossRefGoogle Scholar
Merlet, J. P., “Jacobian, manipulability, condition number, and accuracy of parallel robots,” Trans. ASME J. Mech. Des. 128(1), 199–206 (2006).CrossRefGoogle Scholar
Wu, C, Liu, X. J., Wang, L and Wang, J, “Optimal design of spherical 5R parallel manipulators considering the motion/force transmissibility,” J. Mech. Des. 132(3), 31002–31010 (2010).CrossRefGoogle Scholar
Liu, X. J., Wang, J and Pritschow, G, “On the optimal kinematic design of the PRRRP 2-DoF parallel mechanism,” Mech. Mach. Theory 41(9), 1111–1130 (2006).CrossRefGoogle Scholar
Ma, O and Angeles, J, “Optimum Architecture Design of Plat-Form Manipulators,” Fifth International Conference on IEEE Robots in Unstructured Environments, ICAR, Pisa (1991) pp. 1130–1135.Google Scholar
Xu, Q and Li, Y, “Error analysis and optimal design of a class of translational parallel kinematic machine using particle swarm optimization,” Robotica 27(1), 67–78 (2009).CrossRefGoogle Scholar
Ider, S. K., “Singularity robust inverse dynamics of planar 2-RPR parallel manipulators,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 218(7), 721–730 (2004).CrossRefGoogle Scholar
Wu, J, Gao, Y, Zhang, B and Wang, L, “Workspace and dynamic performance evaluation of the parallel manipulators in a spray-painting equipment,” Rob. Comput. Integr. Manuf. 44, 199–207 (2017).CrossRefGoogle Scholar
Tyapin, I and Hovland, G, “Kinematic and elastostatic design optimisation of the 3-DOF Gantry-Tau parallel kinematic manipulator,” Model. Identif. Control 30(2), 39–56 (2009).CrossRefGoogle Scholar
Stamper, R. E., Tsai, L. W. and Walsh, G. C., “Optimization of a Three DOF Translational Platform for Well-Conditioned Workspace,” Proceedings of International Conference Robotics and Automation New Mexico, vol. 4 (1997) pp. 3250–3255CrossRefGoogle Scholar
Zhao, J. S., Liu, X, Feng, Z. J. and Dai, J. S., “Design of an Ackermann type steering mechanism,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 227(11), 2549–2562 (2013).CrossRefGoogle Scholar