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Kinetostatic and Singularity Analyses of the 3- UPU Translational Parallel Robot

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Abstract

This paper deals with the kinetostatic and singularity analyses of the 3- UPU parallel robot. The kinetostatic model was derived analytically and two types of singularity were identified, i.e., architecture singularity and configuration singulariy. First, the actuators forces needed to balance an external load on the platform were calculated, then and thanks to its analytical form, the singularity of the kinetostatic model was studied as a function of the different design parameters of the robot.

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References

  1. L. Tsai and S. Joshi, “Kinematics and Optimization of a Spatial 3-UPU Parallel Manipulator”, ASME, Journal of Mechanical Design, vol. 122, pp. 439-446, 2000

    Google Scholar 

  2. L. Romdhane, Z. Affi and M. Fayet, “Design and singularity analysis of a 3 translational-DOF in-parallel manipulator”, ASME, Journal of Mechanical Design, Vol. 124, pp. 419-426, 2002

    Google Scholar 

  3. Cheng, H. H., and Thompson, S., 1999, “Singularity Analysis of Spatial Mechanisms Using Dual Polynomials and Complex Dual Numbers” ASME J. Mech. Des., 121, pp. 200–205.

    Google Scholar 

  4. S. Bandyopadhyay and A. Ghosal, “Geometric characterization and parametric representation of the singularity manifold of a 6–6 Stewart platform manipulator”, Journal of Mechanism and Machine Theory, Vol. 41, pp. 1377-1400, 2006

    Google Scholar 

  5. J. Gallardo-Alvarado, J. M. Rico-Martinez, G. Alici “Kinematics and singularity analyses of a 4-dof parallel manipulator using screw theory” Mechanism and Machine Theory 41 (2006) 1048–1061

    Google Scholar 

  6. Z. affi and L. Romdhane “Analysis and mapping of the orientation error of a 3-DOF translational parallel manipulator” In press, Robotica doi:10.1017/S0263574708004761

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  7. A.H. Echebbi, Z. AFFI, L. Romdhane “parametric sensitivity analysis of the position error cased by joint clearance of the 3-UPU parallel robot’ premier congrès de mécanique, Cotume’08, pp. Mars 2008, Hammamet, Tunisie

    Google Scholar 

  8. S. Kemal Ider “Inverse dynamics of parallel manipulators in the presence of drive singularities” ” Mechanism and Machine Theory 40 (2005) 33–44

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Chebbi, AH., Affi, Z., Romdhane, L. (2009). Kinetostatic and Singularity Analyses of the 3- UPU Translational Parallel Robot. In: Kecskeméthy, A., Müller, A. (eds) Computational Kinematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01947-0_8

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  • DOI: https://doi.org/10.1007/978-3-642-01947-0_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01946-3

  • Online ISBN: 978-3-642-01947-0

  • eBook Packages: EngineeringEngineering (R0)

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