Abstract
The article is devoted to the features of applying the velocity and force criteria of proximity to specific positions to the mechanisms of parallel structure with a fewer than six degrees of freedom. Problems of both theoretical and computational nature and variants of their solutions have been considered.
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Gosselin, C.M. and Angeles, J., Singularity analysis of closed-loop kinematic chains, IEEE Trans. Robot. Automat., 1990, no. 6(3), pp. 281–290.
Merlet, J.-P., Parallel Robots, 2nd ed. Springer, 2006.
Nosova, N.Y., Glazunov, V.A., Palochkin, S.V., and Terekhova, A.N., Synthesis of mechanisms of parallel structure with kinematic interchange, J. Mach. Manuf. Reliab., 2014, vol. 43, no. 5, pp. 378–383.
Gosselin, C.M. and Angeles, J., A global performance index for the kinematic optimization of robotic manipulators, ASME J. Mech. Design, 1991, no. 113(3), pp. 220–226.
Alba-Gomez, O., Wenger, P., and Pamanes, A., Consistent kineostatic indices for planar 3-DOF parallel manipulators, application to the optimal kinematic inversion, Proc. ASME 2005 IDETC/CIE Conf., Long Beach, CA, Sept. 24–28, 2005.
Arakelian, V., Briot, S., and Glazunov, V., Increase of singularity-free zones in the workspace of parallel manipulators using mechanisms of variable structure, Mechanism Mach. Theory, 2008, vol. 43, no. 9, pp. 1129–1140.
Briot, S., Glazunov, V., and Arakelian, V., Investigation on the effort transmission in planar parallel manipulators, ASME J. Mech. Robot., 2013, vol. 5, no. 1, pp. 1–10.
Glazunov, V. and Kheylo, S., Dynamics and control of planar, translational and spherical parallel manipulators, in Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots, Dan Zhang and Bin Wei, Eds., Springer, 2016, pp. 365–402.
Merlet, J.-P., Jacobian, manipulability, condition number and accuracy of parallel robots, ASME J. Mech. Design, 2006, no. 128(1), pp. 199–205.
Voglewede, P.A. and Ebert-Uphoff, I., Measuring “closeness” to singularities for parallel manipulators, Proc. 2004 IEEE Int. Conf. on Robotics and Automation, New Orleans, Apr. 26–May 1, 2004, pp. 4539–4544.
Hubert, J. and Merlet, J.-P., Static of parallel manipulator and closeness to singularity, ASME J. Mech. Robotics, 2008, vol. 1, no. 1, pp. 1–6.
Glazunov, V.A., Arakelyan, V., Briot, S., and Rashoyan, G.V., Speed and force criteria for the proximity to singularities of parallel structure manipulators, J. Mach. Manuf. Reliab., 2012, vol. 41, no. 3, p.194.
Laryushkin, P. and Glazunov, V., A new 3-DOF translational parallel manipulator: kinematics, dynamics, workspace analysis, Proc. 19th CISM-IFToMM Symp. Romansy 19–Robot Design, Dynamics and Control, Paris, June 12–14, 2012, pp. 11–18.
Laryushkin, P., Glazunov, V., and Demidov, S., Singularity analysis of 3-DOF translational parallel manipulator, Proc. 20th CISM-IFToMM Symp. on Theory and Practice of Robots and Manipulators, Moscow, June 23–26, 2014, pp. 47–54.
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Original Russian Text © P.A. Laryushkin, G.V. Rashoyan, K.G. Erastova, 2017, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2017, No. 4, pp. 39–45.
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Laryushkin, P.A., Rashoyan, G.V. & Erastova, K.G. On the features of applying the theory of screws to the evaluation of proximity to specific positions of the mechanisms of parallel structure. J. Mach. Manuf. Reliab. 46, 349–355 (2017). https://doi.org/10.3103/S1052618817040100
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DOI: https://doi.org/10.3103/S1052618817040100