Abstract
Optimal serial 6 degree of freedom (DOF) robot path planning has challenges due to the kinematic structures, singularity conditions, and the practical reach limits due to the a path-fixture-end effector orientation and design-robot structure combination. Previous research has been done to define and visualize the functional reach limits for a robot-end effector orientation-end effector tool geometry set. This is expanded and combined with singularity region analyses to be able to visualize the total effective travel path regions for a target application (i.e., FANUC, ABB, or Comau robot families) using the MATLAB toolbox. Visualization tools that represent both the functional work region or work window and singularity regions are presented. This research will provide designers the ability to assess a wide range of industrial robot configurations comprehensively at the design or redesign stages as the valid bounded region defined in this work can be employed for subsequent downstream optimization related to velocity and acceleration control.
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References
Koren, Y., Heisel, U., Jovane, F., Moriwaki, T., Pritschow, G., Ulsoy, G., Van Brussel, H.: Reconfigurable Manufacturing Systems. Annals-Manufacturing Technology 48(2), 527–540 (1999)
Nof, S.Y.: Handbook of Industrial Robotics, 2nd edn. John Wiley & Sons, New York (1999)
Ceccarelli, M., Lanni, C.: A Multi-objective Optimum Design of General 3R Manipulators for Prescribed Workspace Limits. Mechanisms and Machine Theory 39, 119–132 (2003)
Cebula, A.J., Zsombor-Murray, P.J.: Formulation of the Workspace Equation for Wrist-Partitioned Spatial Manipulators. Mechanisms and Machine Theory 41, 778–789 (2006)
Castelli, G., Ottaviano, E., Ceccarelli, M.: A Fairly General Algorithm to Evaluate Workspace Characteristics of Serial and Parallel Manipulators. Mechanics Based Design of Structures and Machines 36, 14–33 (2008)
Yang, J., Yu, W., Kim, J., Abdel-Malet, K.: On the Placement of Open-Loop Robotic Manipulators for Reachability. Mechanism and Machine Theory 44, 671–684 (2009)
Djuric, A.M., ElMaraghy, W.H.: Filtering Boundary Points of the Robot Workspace. In: 5th International Conference on Digital Enterprise Technology, Nantes, France (October 2008)
Djuric, A.M., Urbanic, R.J.: A Methodology for Defining the Functional Space (Work Window) for a Machine Configuration. In: 3rd International Conference on Changeable, Agile, Reconfigurable and Virtual Production, Munich, October 5-7 (2009)
Orin, D.E., Schrader, W.W.: Efficient Computation of the Jacobian for Robot Manipulators. In: The First International Symposium on Robotics Research, pp. 727–734. MIT Press, Cambridge (1984)
Fu, K.S., Gonzalez, R.C., Lee, C.S.G.: Robotics: control, sensing, vision, and intelligence, pp. 12–82. McGraw-Hill Inc. (1987)
Leathy, M.B., Nugent Jr., L.M., Saridis, G.N., Valavanis, K.P.: Efficient PUMA Manipulator Jacobian Calculation and Inversion. Journal of Robotic Systems 4(2), 185–197 (1987)
Spong, M.W., Vidyasagar, M.: Robot Dynamics and Control. J. Wiley and Son, New York (1989)
Cheng, F.T., Hour, T.L., Sun, Y.Y., Chen, T.H.: Study and Resolution of Singularities for a 6-DOF PUMA Manipulators. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 27(2), 332–343 (1997)
Oetomo, D., Marcelo, H.A., Lim, S.Y.: Singularity Handling on Puma in Operational Space Formulation, Transactions. In: Canadian Society of Mechanical Engineers, ISER, pp. 491–500 (2000)
Yuan, J.: Local SVD Inverse of Robot Jacobian. Robotica 19, 79–86 (2001)
Pieper, D.L.: The kinematics of manipulators under computer control. PhD Thesis, Stanford University, Artificial Intelligence Project Memo 72 (1968)
Vassilios, D.T., Marcelo Jr., H.A.: Task decoupling in robot manipulators. Journal of Intelligent and Robotic Systems 14(3), 283–302 (1995)
Gogu, G.: Families of 6R orthogonal robotic manipulators with only isolated and pseudo-isolated singularities. Mechanism and Machine Theory 37(11), 1347–1375 (2002)
Hayes, M.J.D., Husty, M.L., Zsombor-Murray, P.J.: Singular Configurations of Wrist-Partitioned 6R Serial Robots: a Geometric Perspective for Users. In: Canadian Society of Mechanical Engineers, vol. 26(1), pp. 41–55 (2002)
Fijany, A., Bejczy, A.K.: Efficient of Jacobian Inversion for the Control of Simple Robot Manipulators. IEEE Robotics and Automation 2, 999–1007 (1988)
Denavit, J., Hartenberg, R.S.: A Kinematic Notation for Lower-pair Mechanisms Based on Matrices. Journal of Applied Mechanics 77, 215–221 (1955)
Urbanic, R.J., Gudla, A.: Functional Work Space Estimation of a Robot using Forward Kinematics, D-H Parameters, and Shape Analyses. In: Proceedings of the ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, paper ESDA 2012 – 83001 (2012)
Krause, F.L., Kimura, F., Kjellberg, T., Lu, S.C.Y.: Product Modelling. Annals of the CIRP 42(2), 695–706 (1993)
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Djuric, A., Urbanic, J., Filipovic, M., Kevac, L. (2014). Effective Work Region Visualization for Serial 6 DOF Robots. In: Zaeh, M. (eds) Enabling Manufacturing Competitiveness and Economic Sustainability. Springer, Cham. https://doi.org/10.1007/978-3-319-02054-9_35
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DOI: https://doi.org/10.1007/978-3-319-02054-9_35
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02053-2
Online ISBN: 978-3-319-02054-9
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