Abstract
This work proposes direction-dependent Jacobian indices that allow tackling the performance evaluation and dimensional synthesis of parallel manipulators. These indices characterize the kinetostatic capabilities of a manipulator along and about each direction of the Cartesian space and are more likely to help the designer to achieve an assessment of different geometries without having to resort to predefined trajectories. We shed light on these indices by considering a 2-dof parallel manipulator whose modeling is relatively straightforward. The generic example of a five-bar manipulator allows establishing a geometric interpretation of the proposed indices and helps to develop a better understanding of their use within the scope of dimensional synthesis, the main goal being the derivation of kinetostatic indices that are valid for n-dof parallel manipulators.
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References
Angeles, J.: Fundamentals of Robotic Mechanical Systems. Springer, Heidelberg (2007)
Cardou, P., Bouchard, S., Gosselin, C.: Kinematic-sensitivity indices for dimensionally nonhomogeneous jacobian matrices. IEEE Transactions on Robotics 26(1), 166–173 (2010)
Ceccarelli, M.: Fundamentals of Mechanics of Robotic Manipulation. Kluwer Academic Publishers (2004)
Gosselin, C.: Determination of the workspace of 6-dof parallel manipulators. ASME Journal of Mechanical Design 112(3), 331–336 (1990)
Gosselin, C.: Parallel computational algorithms for the kinematics and dynamics of planar and spatial parallel manipulators. Transactions of ASME, Journal of Dynamic Systems, Measurement and Control 118(1), 22–28 (1996)
Hüsing, M., Riedel, M., Nefzi, M., Corves, B.: Vorgehensweise bei der Entwicklung von maßgeschneiderten Handhabungsgeräten in kleinen und mittleren Unternehmen - von der Idee bis zur Umsetzung. In: Bewegungstechnik 2010, VDI-Berichte 2116, pp. 191–205. VDI Verlag, Düsseldorf (2010)
Merle, J.-P.: Parallel Robots, 2nd edn. Solid Mechanics and Its Applications. Springer, Dordrecht (2006)
Nefzi, M.: Analysis and Optimisation of 4UPS - 1UPU Parallel Robots. PhD thesis, RWTH Aachen (2010)
Nefzi, M., Riedel, M., Corves, B.: Development and design of a multi-fingered gripper for dexterous manipulation. In: 4th IFAC Symposium on Mechatronic Systems, Wiesloch/Heidelberg, Germany, vol. 4(1) (2006)
Neugebauer, R.: Parallelkinematische Maschinen. Springer, Heidelberg (2006)
Riedel, M., Nefzi, M., Corves, B.: Grasp planning for a reconfigurable parallel robot with an underactuated arm structure. Mechanical sciences 1, 33–42 (2010)
Riedel, M., Nefzi, M., Corves, B.: Performance analysis and dimensional synthesis of a six dof reconfigurable parallel manipulator. In: IFToMM Symposium on Mechanism Design for Robotics (2010)
Tsai, L.-W.: Robot Analysis: The Mechanics of Serial and Parallel Manipulators. John Wiley and Sons, Inc. (March 1999)
Yoshikawa, T.: Manipulability of robotic mechanisms. The International Journal of Robotics Research 4(2), 3–9 (1985)
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Nefzi, M., Gosselin, C., Riedel, M., Hüsing, M., Corves, B. (2011). Dimensional Synthesis of Parallel Manipulators Based on Direction-Dependent Jacobian Indices. In: Jeschke, S., Liu, H., Schilberg, D. (eds) Intelligent Robotics and Applications. ICIRA 2011. Lecture Notes in Computer Science(), vol 7101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25486-4_16
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DOI: https://doi.org/10.1007/978-3-642-25486-4_16
Publisher Name: Springer, Berlin, Heidelberg
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