Abstract
In this chapter geometrical force calculation algorithms, namely the Barycentric Approach, the Weighted Average Approach, the Corner Projection Method, the Closed Form Method and the Puncture Method are discussed. The last four were implemented for a threefold redundancy and their performance regarding their practical applicability is investigated. The analysis includes the covered workspace, the characteristics of the resulting cable forces, the needed computation time and the adaptability to varying degrees of redundancy.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Bruckmann, T.: Auslegung und Betrieb redundanter paralleler Seilroboter. Ph.D. Dissertation, Universität Duisburg-Essen (2010)
Bruckmann, T., Mikelsons, L., Brandt, T., Hiller, M., Schramm, D.: Wire robots Part I—kinematics, analysis and design. In: Lazinica, A. (ed.) Parallel Manipulators—New Developments, pp. 109–132. I-Tech Education and Publishing, Austria (2008)
Bruckmann, T., Mikelsons, L., Brandt, T., Hiller, M., Schramm, D.: Wire robots Part II—dynamics, control and application. In: Lazinica, A. (ed.) Parallel Manipulators—New Developments, pp. 133–153. I-Tech Education and Publishing, Austria (2008)
Bruckmann, T., Mikelsons, L., Hiller, M., Schramm, D.: A new force calculation algorithm for tendon-based parallel manipulators. In: IEEE/ASME International Conference on Advanced Intelligent Mechatronics, 2007, pp. 1–6 (2007)
Bruckmann, T., Mikelsons, L., Pott, A., Abdel-Maksoud, M., Brandt, T., Schramm, D.: A novel tensed mechanism for simulation of maneuvers in wind tunnels. In: ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2009) August 30–September 2, 2009. San Diego, California, USA: 33rd ASME Mechanics and Robotics Conference (MECH 2009) 7, 17–24 (2009)
Bruckmann, T., Reichert, C.: Real-time determination of set point cable force distributions. European Robotics Forum, Lyon (2013)
Landsberger, S.E.: Design and construction of a cable-controlled, parallel link manipulator. Masterthesis, Massachusetts Institute of Technology (1984)
Ming, A., Higuchi, T.: Study on multiple degree-of-freedom positioning mechanism using wire (Part 1). Int. J. Jpn Soc. Precis. Eng. 28, 131–138 (1994)
Müller, K.: Methoden zur Berechnung der Seilkraftverteilungen höherredundanter paralleler Seilroboter. Master’s Thesis (2013)
Pott, A.: An improved force distribution algorithm for over-constrained cable-driven parallel robots. In: F. Thomas, A. Perez Gracia (eds.) Computational Kinematics, Mechanisms and Machine Science, vol. 15, pp. 139–146. Springer, Netherlands (2014)
Pott, A., Bruckmann, T., Mikelsons, L.: Closed-form force distribution for parallel wire robots. In: A. Kecskemethy, A. Müller (eds.) Computational Kinematics, pp. 25–34. Springer, Berlin (2009)
Verhoeven, R.: Analysis of the workspace of tendon-based stewart platforms. Dissertation, Gerhard-Mercator-Universität -GH- Duisburg (2004)
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).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Müller, K., Reichert, C., Bruckmann, T. (2014). Analysis of Geometrical Force Calculation Algorithms for Cable-Driven Parallel Robots with a Threefold Redundancy. In: Lenarčič, J., Khatib, O. (eds) Advances in Robot Kinematics. Springer, Cham. https://doi.org/10.1007/978-3-319-06698-1_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-06698-1_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06697-4
Online ISBN: 978-3-319-06698-1
eBook Packages: EngineeringEngineering (R0)