Abstract
This paper deals with the joint space and workspace analysis of a two degree of freedom spherical parallel mechanism designed to be used to handle an endoscope. This mechanism is composed of the three legs (2USP-U) to connect the base to a moving platform. As the manipulator can get up to six solutions to the direct kinematic problem (DKP) in four aspects, non-singular assembly modes changing trajectories may exist. The aim of the paper is to check whether a regular workspace centred on home pose can be defined in such a way that no such trajectory exists in this workspace.
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References
Schena, B.: Robotic manipulator with remote center of motion and compact drive, Patent WO 2008/157225 (2007)
Rosen, J., Brown, J.D., Chang, L., Barreca, M., Sinanan, M., Hannaford, B.: The Blue-DRAGON - a system for measuring the kinematics and dynamics of minimally invasive surgical tools in-vivo. In: Proceedings IEEE International Conference on Robotics and Automation (2002)
Gosselin, C., Hamel, J.-F., The agile eye: a high-performance three-degree-of-freedom camera-orienting device. In: Proceedings IEEE International Conference on Robotics and Automation, pp. 781–786 (1994)
Cheng, H.H.: Real-time manipulation of a hybrid serial-and-parallel driven redundant industrial manipulator. ASME J. Dyn. Syst. Meas. Control 116(4), 687–701 (1994)
Agrawal, S.K., Desmier, G., Li, S.: Fabrication and analysis of a novel 3 DoF parallel wrist mechanism. ASME J. Mech. Des. 117(2), 343–345 (1995)
Caron, F.: Analyse et développement d’un manipulateur parallèle sphérique à deux degrés de liberté pour l’orientation d’une caméra. M. Sc., Université Laval, Québec, August 1997
Karouia, M., Hervè, J.M.: A three-DoF tripod for generating spherical motion. In: ARK, Piran, pp. 395–402, 25–29 June 2000
Li, J., Zhang, G., Müller, A., Wang, S.: A family of remote center of motion mechanisms based on intersecting motion planes. J. Mech. Des. 135(9), 091009 (2013)
Chablat, D., Wenger, P.: Working modes and aspects in fully parallel manipulators. In: Proceedings, 1998 IEEE International Conference on Robotics and Automation, vol. 3 (1998)
Bonev, I.A., Chablat, D., Wenger, P.: Working and assembly modes of the Agile Eye. In: Proceedings 2006 IEEE International Conference on Robotics and Automation (2006)
Kumar, S., Nayak, A., Peters, H., Schulz, C., Müller, A.: Kinematic analysis of a novel parallel 2SPRR+ 1U ankle mechanism in humanoid robot. In: International Symposium on Advances in Robot Kinematics. Springer, Cham (2018)
Chablat, D., Wenger, P.: Séparation des solutions aux modèles géométriques direct et inverse pour les manipulateurs pleinement parallèles. Mech. Mach. Theor. 36(6), 763–783 (2001)
Wenger, P.H., Chablat, D.: Definition sets for the direct kinematics of parallel manipulators. In: 8th International Conference in Advanced Robotics, pp. 859–864 (1997)
Jha, R., Chablat, D., Baron, L., Rouillier, F., Moroz, G.: Workspace, joint space and singularities of a family of delta-like robot. Mech. Mach. Theor. 127, 73–95 (2018)
Chablat, D., Moroz, G., Rouillier, F., Wenger, P.: Using Maple to analyse parallel robots. In: Maple Conference 2019, October 2019
Wenger, P.: A new general formalism for the kinematic analysis of all nonredundant manipulators. In: IEEE Robotics and Automation, pp. 442–447 (1992)
Chablat, D., Jha, R., Rouillier, F., Moroz, G.: Non-singular assembly mode changing trajectories in the workspace for the 3-RPS parallel robot. In: Advances in Robot Kinematics, pp. 149–159. Springer, Cham (2014)
Chablat, D., Moroz, G., Wenger, P.: Uniqueness domains and non singular assembly mode changing trajectories. In: 2011 IEEE International Conference on Robotics and Automation (2011)
Mazen, Z., Wenger, P., Chablat, D.: Non-singular assembly-mode changing motions for 3-RPR parallel manipulators. Mech. Mach. Theor. 43(4), 480–490 (2008)
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Chablat, D., Michel, G., Bordure, P., Jha, R., Venkateswaran, S. (2020). Joint Space and Workspace Analysis of a 2-DOF Spherical Parallel Mechanism. In: Pisla, D., Corves, B., Vaida, C. (eds) New Trends in Mechanism and Machine Science. EuCoMeS 2020. Mechanisms and Machine Science, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-030-55061-5_21
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DOI: https://doi.org/10.1007/978-3-030-55061-5_21
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