ROBOTICA & MANAGEMENT - Vol. 24, No. 1, June 2019, pp. 14-18

Determination of Position-Orientation Matrix for a Planar Parallel Topology Robot by Using the “Pair of Frames” Concept

Calin-Octavian Miclosina, Ioan Halalae

“Eftimie Murgu” University of Resita
Traian Vuia Square, No. 1-4, 320085 Resita, Romania

The paper presents a method of determining the position-orientation matrix of the reference system attached to the characteristic point of a planar parallel topology robot, by using the “connexion” and “pair of frames” concepts. The kinematical scheme of robot’s guiding device mechanism of FP3+3·RTR+MP3 type is shown, as well as the manner of choice of the frames attached to the links. In order to obtain the position-orientation matrix, the matrix calculus is accomplished.

Matrix calculus, position-orientation matrix, parallel topology robot.

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[1]  Chunikhin A.Y., Glazunov V.A.: “Developing the Mechanisms of Parallel Structure with Five Degrees of Freedom Designed for Technological Robots”, Journal of Machinery Manufacture and Reliability, Vol. 46, Issue 4, July 2017, pp. 313-321.

[2]  Kovacs F.V., Perju D., Savii G: “Metode noi în sinteza mecanismelor” (New Methods in Mechanism Synthesis), Ed. Facla, Timişoara, 1976.

[3]  Kovacs F.V.: “Using the Concept ‘Connexion’ for Structural Analysis/Synthesis of Parallel Topology Robots”, The Seventh IFToMM International Symposium on Linkages and CAD Methods, vol. 2, pp. 189-194, Bucharest, 1997.

[4]  Kovacs F.V.: “Utilizarea noţiunii de ‘conexiune cinematică’ în Teoria Mecanismelor şi Robotică” (Using the “Kinematical Connexion” Notion in Mechanism Theory and Robotics), Dr. H.C. Dissertation, University of Craiova, 1999.

[5]  Kovacs F.V.: “Noţiunea ‘Perechi de Sisteme de Referinţă’ (PeSiR) şi unele utilizări în domenii de ştiinţă tehnice” (The Notion of “Pair of Frames” (PF) and Some Applications in Technical Science Fields), Robotica & Management, Vol. 6, No. 1, 2001, pag. 22-29.

[6]  Kovacs F.V. “Geometrical, Kinematical and Kinetostatical Modelling of Parallel Topology Robotic Guiding Devices with Rigid Links, Using the Concept ’Pair of Frames’ (PF)”, Proceedings of the 2nd International Conference on Robotics, Timişoara-Reşiţa, 2004.

[7]  Kovacs F.V., Miclosina C.: “Geometrical, Kinematical and Kinetostatical Modelling of a PFx3+6xSTS+PMo3 (MSSM) Type Parallel Topology Robotic Guiding Device with Rigid Links, Using the Concept “Pair of Frames” (PF)”, Proceedings of the 2nd International Conference on Robotics, Timişoara-Reşiţa, Ed. Intergraf, Reşiţa, 2004.

[8]  Merlet J.P.: “Parallel Robots”, 2nd ed., Springer, Dordrecht, 2006.

[9]      Miclosina C.: “Geometrical (Degree 0) Modelling of a FP3+3×RTR+MP3 Type Parallel Topology Robotic Guiding Device, Using the „Pair of Frames” (PF) Concept”, Works of the 7th International Symposium „Young People and Multidisciplinary Research”, Reşiţa, 22th-23th September 2005, Analele Universităţii “Eftimie Murgu” Reşiţa, anul XII, Nr. 1, 2005, pp. 205-214.

[10]   Miclosina C.: “Workspace of a Planar Robotic Guiding Device with Parallel Topology of FP3+3×RTR+MP3 Type”, Analele Universităţii “Eftimie Murgu” Reşiţa, anul XIII, nr. 1, 2006, pp. 223-230.

[11]   Miclosina C.: “Contributii la analiza si sinteza mecanismelor robotilor cu topologie paralela, utilizand notiunea de “conexiune”” (Contributions to the Analysis and Synthesis of Parallel Topology Robots Mechanisms, Using the Notion of „Connexion”), Doctoral Thesis, Politehnica University of Timisoara, 2006.

[12]   Miclosina C.O., Vela I, Cojocaru V., Chioncel C.: „Modelling and Simulation of a Planar Parallel Topology Robotic Guiding Device Using CATIA Software”, Proceedings of The 9th International Conference on Mechatronics and Precision Engineering, COMEFIM’9, 12th – 14th June 2008, Iaşi, Romania, Buletinul Institutului Politehnic din Iaşi, ISSN 1011-2855, Tomul LIV (LVIII), Fascicula 4, Secţia Construcţii de Maşini, 2008, pp. 13-18.

[13]   Miclosina C.-O.: “Roboti industriali si linii flexibile” (Industrial Robots and Flexible Lines), Ed. Eftimie Murgu, 2009.

[14]   Rogai E.: “Tabele şi formule matematice” (Mathematical tables and formulas), Ed. Tehnică, 1984.

[15]   Tian H., Wang C., Dang X., Sun L.: “A 6-DOF Parallel Bone-Grinding Robot for Cervical Disc Replacement Surgery”, Medical & Biological Engineering & Computing, Vol. 55-12, 2017, pp. 2017-2121.

[16] Vela I., Miclosina C.: “Cercetări în domeniul Roboticii la Universitatea “Eftimie Murgu” Reşiţa”, (Research in the Field of Robotics at "Eftimie Murgu" University Resita), Robotica & Management, Vol. 7, No. 1, June 2002, pp. 53-62.