Abstract
We are interested in wire-driven parallel robot with four wires and at least two distinct attachment points on the end-effector. Such type of robot is non redundant, it exhibits 4 d.o.f. and can be used as a crane. This paper addresses the inverse and forward kinematics problem, taking into account the mechanical equilibrium equations. We show that surprisingly the forward kinematics can be solved, either for determining all solutions or in a real-time context, but that the inverse kinematics is still an open issue.
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References
Behzadipour S. and Khajepour A. Design of reduced dof parallel cable-based robots. Mechanism and Machine Theory, 39(10):1051–1065, October 2004.
Diao X. andMa O. Workspace determination of general 6 d.o.f. cable manipulators. Advanced Robotics, 22(2-3):261–278, 2008.
Fattah A. and Agrawal S.K. On the design of cable-suspended planar parallel robots. ASME J. of Mechanical Design, 127(5):1021–1028, September 2005.
Faug‘ere J.C.,Merlet J-P., and Rouillier F. On solving the direct kinematics problem for parallel robots. Technical Report 5923, INRIA, June 2006.
Gallina P. and Rosati G. Manipulability of a planar wire driven haptic device. Mechanism and Machine Theory, 37:215–228, 2002.
Gouttefarde M., Merlet J-P., and Daney D. Determination of the wrench-closure workspace of 6-dof parallel cable-driven mechanisms. In ARK, pages 315–322, Ljubljana, June, 26-29, 2006.
Hiller M. and others . Design, analysis and realization of tendon-based parallel manipulators. Mechanism and Machine Theory, 40(4):429–445, April 2005.
Jeong J.W., Kim S.H., and Kwak Y.K. Kinematics and workspace analysis of a parallel wire mechanism for measuring a robot pose. Mechanism and Machine Theory, 34(6):825–841, August 1999.
Merlet J-P. Solving the forward kinematics of a Gough-type parallel manipulator with interval analysis. Int. J. of Robotics Research, 23(3):221–236, 2004.
Notash L. and Kamalzadeh A. Inverse dynamics of wire-actuated parallel manipulators with constraining linkages. Mechanism and Machine Theory, 42(9):1103–1118, September 2007.
Pottmann H., Peternell M., and Ravani B. An introduction to line geometry with applications. Computer-aided design, 31(1):3–16, 1999.
Pusey J. and others . Design and workspace analysis of a 6-6 cable-suspended parallel robot. Mechanism and Machine Theory, 139(7):761–778, July 2004.
Sommese A.J., Verschelde J., and Wampler C.W. Advances in polynomial continuation for solving problems in kinematics. ASME J. of Mechanical Design, 126(2):262–268, March 2004.
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Merlet, JP., Daney, D. (2009). Kinematic analysis of a spatial four-wire driven parallel crane without constraining mechanism. In: Kecskeméthy, A., Müller, A. (eds) Computational Kinematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01947-0_1
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DOI: https://doi.org/10.1007/978-3-642-01947-0_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01946-3
Online ISBN: 978-3-642-01947-0
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