THE KINEMATIC EQUATIONS OF TWO ROBOTS OF THE TYPE 3TR-2R IN COOPERATION MOVEMENTS

Marinel Ionel RUS, Iuliu NEGREAN, Ionela SOMEȘAN

Abstract


In this paper, the kinematic equations for tow robots working in cooperative movements are presented. To establish the equations of direct kinematics, the algorithm of exponential matrices in kinematics will be applique. The goal of the algorithm is to determine the Jacobian matrix, together with its first-order derivative with respect to time. These robots, working in cooperative movements, can be used to make complex parts.


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References


Negrean I., Mecanică avansată în Robotică, ISBN 978-973-662-420-9, UT Press, Cluj-Napoca, 2008.

Rus M.I., Someșan I., Negrean I., The geometric equations for two robots of the type 3TR-2R in cooperation movements, Acta Technica Napocensis: Applied Mathematics and Mechanics Vol 64, No II,June, 2021

Negrean, I.; Crișan, A.-V. Synthesis on the Acceleration Energies in the Advanced Mechanics of the Multibody Systems. Symmetry 2019, 11, 1077.

Negrean, I., Crișan, A.V., & Vlase, S., A New Approach in Analytical Dynamics of Mechanical Systems. Symmetry, (2020). 12(1), 95. doi:10.3390/sym12010095

Negrean, I., Robotics - Kinematic and Dynamic Modelling, Editura Didactică şi Pedagogică R.A., Bucureşti, ISBN 973-30-5958-7, 1998.

Negrean I., Mecanică, Teorie şi Aplicaţii, Editura UT PRESS, Cluj – Napoca, ISBN 978-973-662-523-7, 2012.

Deteşan, O., The Implementation of the TRR Robot Modeling Using the Symbolic Computation in MATLAB, Acta Technica Napocensis, nr. 51, vol. IV, Cluj-Napoca, 2008, pp. 59-64, ISSN 1221-5872.

Deteşan, O., The Definition of the Robot Mechanical Structure Using the Symbolic Computation in MATLAB, Acta Technica Napocensis, nr. 51, vol. IV, Cluj-Napoca, 2008, pp. 65-68, ISSN 1221-5872.

Deteşan, O.A., Ispas, Vrg., The Kinematic Modelling of the Robot Mechanical Structure Using the Symbolic Computation in MATLAB, Annals of DAAAM for 2009 & Proceedings of 20th DAAAM International Symposium “Intelligent Manufacturing & Automation: Theory, Practice & Education” (ISI Proceedings), Viena, 2009, pp 287-288.

Deteşan, O.A., The Geometric and Kinematic Model of RTTRR Small-Sized Modular Robot, Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, vol. 58, Issue 4, p. 513 - 518, Cluj-Napoca, 2015, ISSN 1221-5872.

Deteşan, O.A., The Numerical Simulation of TRR Small-Sized Robot, Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, vol. 58, nr. 4, p. 519 - 524, Cluj-Napoca, 2015, ISSN 1221-5872.

Wu SK, Tsai MS, Lin MT, Huang HW. Development of novel tool center point velocity planning algorithm for five axis machine tool. Int J Precis Eng Manuf 2018;19(8):1187–99. doi: 10.1007/s12541-018-0140-x .

Yang, J., & Altintas, Y. (2013). Generalized kinematics of five-axis serial machines with non-singular tool path generation. International Journal of Machine Tools and Manufacture, 75, 119–132. doi:10.1016/j.ijmachtools.2013.09.002

Xie F-G., Liu X-J, Zhang H. and Wang J-S. , “Design and experimental study of the SPKM165, a five-axis serial-parallel kinematic milling machine”, Science China Technological Sciences, May 2011, Volume 54, Issue 5, pp. 1193-1205.

Beldean C., Vuşcan I., Kacso K., Panc N., The Geometry Equations for Multiple Kinematic Structures Using Direct Geometry, Applied Mechanics and Materials, ISSN: 1662-7482, Vol. 808, pp 292-297,2015

Mircea, A. , Kacso, K., Negrean, I., Vuşcan, I., The geometric equations of two machine tool type 3T3R in cooperation, Acta Technica Napocensis: Applied Mathematics and Mechanics Vol 54, No 4 2011.


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