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Dimensional Synthesis of Parallel Manipulators Based on Direction-Dependent Jacobian Indices

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Intelligent Robotics and Applications (ICIRA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7101))

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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

  1. Angeles, J.: Fundamentals of Robotic Mechanical Systems. Springer, Heidelberg (2007)

    Book  MATH  Google Scholar 

  2. Cardou, P., Bouchard, S., Gosselin, C.: Kinematic-sensitivity indices for dimensionally nonhomogeneous jacobian matrices. IEEE Transactions on Robotics 26(1), 166–173 (2010)

    Article  Google Scholar 

  3. Ceccarelli, M.: Fundamentals of Mechanics of Robotic Manipulation. Kluwer Academic Publishers (2004)

    Google Scholar 

  4. Gosselin, C.: Determination of the workspace of 6-dof parallel manipulators. ASME Journal of Mechanical Design 112(3), 331–336 (1990)

    Article  Google Scholar 

  5. 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)

    Article  MATH  Google Scholar 

  6. 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)

    Google Scholar 

  7. Merle, J.-P.: Parallel Robots, 2nd edn. Solid Mechanics and Its Applications. Springer, Dordrecht (2006)

    Google Scholar 

  8. Nefzi, M.: Analysis and Optimisation of 4UPS - 1UPU Parallel Robots. PhD thesis, RWTH Aachen (2010)

    Google Scholar 

  9. 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)

    Google Scholar 

  10. Neugebauer, R.: Parallelkinematische Maschinen. Springer, Heidelberg (2006)

    Book  Google Scholar 

  11. Riedel, M., Nefzi, M., Corves, B.: Grasp planning for a reconfigurable parallel robot with an underactuated arm structure. Mechanical sciences 1, 33–42 (2010)

    Article  Google Scholar 

  12. 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)

    Google Scholar 

  13. Tsai, L.-W.: Robot Analysis: The Mechanics of Serial and Parallel Manipulators. John Wiley and Sons, Inc. (March 1999)

    Google Scholar 

  14. Yoshikawa, T.: Manipulability of robotic mechanisms. The International Journal of Robotics Research 4(2), 3–9 (1985)

    Article  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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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

  • Print ISBN: 978-3-642-25485-7

  • Online ISBN: 978-3-642-25486-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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