Abstract
This paper addresses the workspace analysis of the orthoglide, a 3-DOF parallel mechanism designed for machining applications. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the Cartesian x-y-z space with fixed orientation. The workspace analysis is conducted on the bases of prescribed kinetostatic performances. The interesting features of the orthoglide are a regular Cartesian workspace shape, uniform performances in all directions and good compactness. Interval analysis based methods for computing the dextrous workspace and the largest cube enclosed in this workspace are presented.
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References
Treib, T. and Zirn, O. (1998), “Similarity laws of serial and parallel manipulators for machine tools”, Proc. Int. Seminar on Improving Machine Tool Performance, pp. 125–131, Vol. 1.
Wenger, P. Gosselin, C. and Maille. B. (1999), “A Comparative Study of Serial and Parallel Mechanism Topologies for Machine Tools”, Proc. PKM’99, Milano, pp. 23–32.
Kim J., Park C., Kim J. and Park F.C., (1997), “Performance Analysis of Parallel Manipulator Architectures for CNC Machining Applications”, Proc. IMECE Symp. On Machine Tools, Dallas.
Wenger, P. Gosselin, C. and Chablat, D. (2001), “A Comparative Study of Parallel Kinematic Architectures for Machining Applications”, Proc. Workshop on Computational Kinematics’, Seoul, Korea, pp. 249–258.
Rehsteiner, F., Neugebauer, R. Spiewak, S. and Wieland, F., (1999), “Putting Parallel Kinematics Machines (PKM) to Productive Work”, Annals of the CIRP, Vol. 48: 1, pp. 345–350.
Tlusty, J., Ziegert, J, and Ridgeway, S., (1999), “Fundamental Comparison of the Use of Serial and Parallel Kinematics for Machine Tools”, Annals of the CIRP, Vol. 48: 1, pp. 351–356.
Luh C-M., Adkins F A., Haug E. J. and Qui C. C., (1996), “Working Capability Analysis of Stewart platforms”, Transactions of ASME, pp. 220–227.
Merlet J-P., (1999), “Determination of 6D Workspace of Gough-Type Parallel Manipulator and Comparison between Different Geometries”, The Int. Journal of Robotic Research, Vol. 19, No. 9, pp. 902–916.
Golub, G. H. and Van Loan, C. F., (1989), Matrix Computations, The John Hopkins University Press, Baltimore.
Salisbury J-K. and Craig J-J., (1982), “Articulated Hands: Force Control and Kinematic Issues”, The Int. J. Robotics Res., Vol. 1, No. 1, pp. 4–17.
Angeles J., (1997), Fundamentals of Robotic Mechanical Systems, Springer-Verlag.
Wenger, P., and Chablat, D., (2000), “Kinematic Analysis of a new Parallel Machine
Tool: the Orthoglide“, in Lenareit, J. and Stanigié, M.M. (editors), Advances in Robot Kinematic,Kluwer Academic Publishers, June, pp. 305–314.
Chablat D. and Wenger P., (1998), “Working Modes and Aspects in Fully-Parallel Manipulator”, IEEE Int. Conf. On Robotics and Automation, pp. 1964–1969.
Merlet J-P., (2000), “ALIAS: an interval analysis based library for solving and analyzing system of equations”, SEA, June. Automation, pp. 1964–1969.
Clavel, R., (1990), “Device for the Movement and Positioning of an Element in Space”, US Patent No. 4,976,582, December 11.
Ottaviano E., Ceccarelli M., (2001), “Optimal Design of CAPAMAN (Cassino Parallel Manipulator) with Prescribed Workspace”, 2nd Workshop on Computational Kinematics CK 2001, Seoul. pp.35–44.
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Chablat, D., Wenger, P., Merlet, J. (2002). Workspace Analysis of the Orthoglide Using Interval Analysis. In: Lenarčič, J., Thomas, F. (eds) Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0657-5_42
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DOI: https://doi.org/10.1007/978-94-017-0657-5_42
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6054-9
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