Abstract
Double arm configuration using parallel manipulator mimic the human arm motions either for planar or spatial space. These configurations are currently lucrative for researchers as it also replaces human workers without major redesign of work-place in industries. Humans’ joint ranges limitation of arms can be resolved by replacement of either revolute or spherical joints in manipulator. Hence, the scope of maximum workspace utilization is prevailed. Planar configuration with five revolute joints (5R) is considered to imitate human arm motions in a plane using Double Arm Manipulator (DAM). Position analysis for tool that can be held in end links of configuration is carried out using Pro/mechanism in Creo® as well as SimMechanics. D–H parameters are formulated and its results derived using developed MATLAB programs are compared with mechanism simulation as well as SimMechanics results. Inverse kinematics model is developed for trajectory planning in order to trace tool trajectory in a continuous and smooth sequence. Polynomial functions are derived for position, velocity and acceleration for linear and non-linear curves in joint space. Analytical results obtained for trajectory planning are validated with simulation results of Creo®.
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References
L. Tsai, Robot Analysis: The Mechanics of Serial and Parallel Manipulators (Wiley, Hoboken, 1999)
D. Zlatanov, I.A. Bonev, C.M. Gosselin, Constraint Singularities of Parallel Mechanisms (Proceedings of IEEE international conference robotics and automation, Washington DC, 2002), pp. 496–502
C. Smith, Y. Karayiannidis, L. Nalpantidis, X. Gratal, P. Qi, D.V. Dimarogonas, D. Kragic, Dual arm manipulation—A survey. J. Robot. Auton. Syst. 60, 1340–1353 (2012)
M. Gouasmi, M. Ouali, B. Fernini, M. Meghatria, Kinematic modeling and simulation of a 2-R robot using solidworks and verification by MATLAB simulink. Int. J. Adv. Robot. Syst. 9, 245–258 (2012)
D. Chablat, P. Wenger, The kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator, CISM-IFToMM symposium on robot design, dynamics and control, Montreal, 1–7 (2004)
H.J. Su, P. Dietmaier, J.M. McCarthy, Trajectory planning for constrained parallel manipulators. J. Mech. Des. 125, 709–716 (2003)
W. Shang, S. Ching, S. Jiang, Dynamic model based nonlinear tracking control of a planar parallel manipulator. Nonlinear Dyn. 60(4), 597–606 (2010)
J.J. Craig, Introduction to Robotics: Mechanics and Control, 3rd edn. (Pearson Education International, Upper Saddle River, 2005)
A. De Luca, G. Oriolo, Trajectory planning and control for planar robots with passive last joint. Int. J. Robot. Res. 21(5–6), 575–590 (2002)
K.M. Lynch, N. Shiroma, H. Arai, K. Tanie, Collision-free trajectory planning for a 3-DOF robot with a passive joint. Int. J. Robot. Res. 19(12), 1171–1184 (2000)
S. Adewusi, M. Thomasa, V.H. Vu, W. Li, Modal parameters of the human hand-arm using finite element and operational modal analysis. Mech. Ind. 15, 541–549 (2014)
S.H.E. Vaghefi, L. Elyasi, S.R. Amirian, S.E. Vaghefi, Anthropometric survey of worker population in Bandar- Abbas. Thrita 3(1), 1–6 (2014)
E. Churchill, J.T. McConville, Sampling and Data Gathering Strategies for Future USAF Anthropometry (Aerospace Medical Research Lab, Springfield, 1976), pp. 121–128
NASA RP 1024, Anthropometric Source Book: Volume 1: Anthropometry for Designers (NASA RP 1024, Houston, 1978)
J.Q. Gan, E. Oyama, E.M. Rosales, H. Hu, A complete analytical solution to the inverse kinematics of the Pioneer 2 robotic arm. Robot. Camb. J. 23, 123–129 (2005)
R. Jain, P.M. Pathak, Trajectory planning of 2 DOF planar space robot without attitude controller. World J. Model. Simul. 4(3), 196–204 (2008)
S.B. Niku, Introduction to Robotics—Analysis, Systems and Applications, 1st edn. (Pearson Education Asia Ltd, New York, 2001)
A. Khoukhi, L. Baron, M. Balazinski, Constrained multi-objective trajectory planning of parallel kinematic machines. J. Robot. Comput. Integr. Manuf. 25, 756–769 (2009)
C. Nasa, S. Bandyopadhyay, Trajectory-tracking control of a planar 3-RRR parallel manipulator with singularity avoidance, robotics and mechatronics. In: 13th World congress in mechanism and machine science, Mexico, 19–25 (2011)
B. Ezair, T. Tassa, Z. Shiller, Multi-axis high-order trajectory planning, workshop on robot motion planning: online, reactive, and in real-time. International conference on intelligent robots and systems, Vilamoura, Portugal (2012)
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Keshavkumar Kamaliya, P., Patel, Y.K.D. Kinematic Modeling and Function Generation for Non-linear Curves Using 5R Double Arm Parallel Manipulator. J. Inst. Eng. India Ser. C 97, 33–40 (2016). https://doi.org/10.1007/s40032-015-0199-4
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DOI: https://doi.org/10.1007/s40032-015-0199-4