MATHEMATICAL MODELING OF A 3R ROBOT STRUCTURE IN THE NOMINAL CONFIGURATION

Ionela SOMEȘAN, Iuliu NEGREAN, Marinel Ionel RUS

Abstract


The main purpose of this paper is to develop a study on the direct geometry and kinematics of an RRR-robot (with three degrees of freedom of rotation), in the nominal configuration. For this purpose, the algorithm of locating matrices was applied, to determine the direct geometry equations. To compute the velocities and accelerations relatively to  fixed system, the algorithm of transfer matrices was used. The results are useful to establish the equations of the motion trajectory. 


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References


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

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.

Negrean I., New Formulations on Motion Equations in Analytical Dynamics, Applied Mechanics and Materials, Vol. 823 (2016), pp 49-54 © (2016) TransTech Publications Switzerland Revised: 2015-09-09, DOI:

4028/www.scientific.net/AMM.823.49

Lenarcic J.,Castelli V., Advances in Robot Kinematics 2018, Springer Proceedings in Advanced Mechanics, vol.8, pp. 83 – 91, ISSN 2511-1256, y Springer International Publishing AG, Switzerland.

Lynch K., and Park F., Modern Robotics: Mechanics, Planning, and Control, ISBN 9781107156302, Cambridge University Press, 2017

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

J.J. Craig, Introduction to Robotics: Mechanics and Control, 3rd edition, Pearson Prentice Hall, Upper Saddle River, NJ, 2005.

R.N. Jazar, Theory of Applied Robotics: Kinematics, Dynamics, and Control, 2nd edition, Springer, New York, 2010.

R.E. Parkin, Applied Robotic Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1991.


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