Abstract
The aim of this paper is to give a detailed examination of the workspace and the input and output singularities of the 3-RUU parallel manipulator in the translational operation mode. The examination is achieved by using algebraic constraint equations derived with the help of the Linear Implicitization Algorithm. The computation of the workspace is not limited to the boundaries of the translational operation mode but tailored with the conditions for this special case.
The investigation of the singularities include the input singularities mapped into a Study subspace and into the joint space. Also the output singularities are computed and mapped into the Study subspace and the joint space, therewith a complete singularity investigation of the translational operation mode of the 3-RUU parallel manipulator is provided.
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References
Amine, S., Tale Masouleh, M., Caro, S., Wenger, P., Gosselin, C.: Singularity conditions of 3T1R parallel manipulators with identical limb structures. J. Mech. Robot. 4(1), 1851–1863 (2012). https://doi.org/10.1115/1.4005336
Bhaskar: The stewart platform manipulator: a review. Mech. Mach. Theory 35(1), 15–40 (2000). https://doi.org/10.1016/S0094-114X(99)00006-3. http://www.sciencedirect.com/science/article/pii/S0094114X99000063
Borrà s, J., Thomas, F., Torras, C.: Singularity-invariant leg rearrangements in stewart-gough platforms. In: Lenarcic, J., Stanisic, M.M. (eds.) Advances in Robot Kinematics: Motion in Man and Machine, pp. 421–428. Springer, Netherlands (2010)
Denavit, J., Hartenberg, R.S.: A kinematic notation for lower-pair mechanisms based on matrices. Trans. ASME E J. Appl. Mech. 22, 215–221 (1955)
Gosselin, C., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6(3), 281–290 (1990). https://doi.org/10.1109/70.56660
Husty, M.L., Pfurner, M., Schröcker, H.P., Brunnthaler, K.: Algebraic methods in mechanism analysis and synthesis. Robotica 25, 661–675 (2007)
Nawratil, G.: Stewart Gough platforms with linear singularity surface. In: 19th International Workshop on Robotics in Alpe-Adria-Danube Region (RAAD 2010), pp. 231–235 (2010). https://doi.org/10.1109/RAAD.2010.5524579
Nawratil, G.: Stewart Gough platforms with non-cubic singularity surface. Mech. Mach. Theory 45(12), 1851–1863 (2010). https://doi.org/10.1016/j.mechmachtheory.2010.08.005. http://www.sciencedirect.com/science/article/pii/S0094114X10001394
Schadlbauer, J., Walter, D.R., Husty, M.L.: The 3-RPS parallel manipulator from an algebraic viewpoint. Mech. Mach. Theory 75, 161–176 (2014)
Stigger, T., Nayak, A., Caro, S., Wenger, P., Pfurner, M., Husty, M.: Algebraic analysis of a 3-RUU parallel manipulator. In: 16th International Symposium on Advances in Robot Kinematics (2018, to submitted)
Acknowledgements
This work was conducted with the support of the University of Innsbruck and the support of the FWF project KAPAMAT (I 1750-N26).
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Stigger, T., Pfurner, M., Husty, M. (2019). Workspace and Singularity Analysis of a 3-RUU Parallel Manipulator. In: Corves, B., Wenger, P., Hüsing, M. (eds) EuCoMeS 2018 . EuCoMeS 2018. Mechanisms and Machine Science, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-319-98020-1_38
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DOI: https://doi.org/10.1007/978-3-319-98020-1_38
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