Abstract
In this paper the differential kinematics for cable-driven robots is derived and the use for calibration, system investigation and a force based forward kinematics is shown. The Jacobians for each part of the kinematic chain are derived with respect to the platform pose and the most important system parameters. Beside the consideration of geometrical quantities, the differential relations between non-geometrical quantities such as cable stiffness and cable forces are determined. The decomposition in the most fundamental Jacobians allows to analyse and compute more complex relations by reassembling the Jacobians as needed. This approach allows more insight in the system behavior and enables the reuse of the individual modules. The purpose of this paper is to provide the framework and the key equations and to show the use for calibration, force based forward kinematics and system analysis as well as for control purposes.
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References
Hiller, M., Fang, S., Mielczarek, S., Verhoeven, R., Franitza, D.: Design, analysis and realization of tendon-based parallel manipulators. Mech. Mach. Theory 40, 429–445 (2005)
Hollerbach, J.M., Wampler, C.W.: The calibration index and taxonomy for robot kinematic calibration methods. Int. J. Robot. Res. 15, 573–591 (1996)
Husty, M.L.: An algorithm for solving the direct kinematic of stewart-gough-type platforms. Mech. Mach. Theory 31, 365–380 (1996)
Merlet, J.P., Daney, D.: A new design for wire-driven parallel robot. In: 2nd International Congress, Design and Modelling of mechanical systems. Monastir (2007).
Schiehlen, W., Eberhard, P.: Technische Dynamik, Modelle f"ur Regelung und Simulation. Teubner (1986).
Verhoeven, R.: Analysis of the workspace of tendon-based stewart platforms. Ph.D. thesis, University of Duisburg-Essen (2004).
Verl, A., Boye, T., Pott, A.: Measurement pose selection and calibration forecast for manipulators with complex kinematic structures. CIRP Ann.-Manuf. Technol. 57, 425–428 (2008).
Acknowledgments
The research leading to these results has received funding from the European Community’s Seventh Framework Programme under grant agreement No. NMP2-SL-2011-285404 (CABLEBOT).
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Miermeister, P., Kraus, W., Pott, A. (2013). Differential Kinematics for Calibration, System Investigation, and Force Based Forward Kinematics of Cable-Driven Parallel Robots. In: Bruckmann, T., Pott, A. (eds) Cable-Driven Parallel Robots. Mechanisms and Machine Science, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31988-4_20
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DOI: https://doi.org/10.1007/978-3-642-31988-4_20
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