Journal of Automation and Control
ISSN (Print): 2372-3033 ISSN (Online): 2372-3041 Website: https://www.sciepub.com/journal/automation Editor-in-chief: Santosh Nanda
Open Access
Journal Browser
Go
Journal of Automation and Control. 2015, 3(3), 89-95
DOI: 10.12691/automation-3-3-10
Open AccessArticle

In the Issue of Complex Plane Motions of the Robot

Lozhkin A.G.1, , Abramov I.V.2, Nikitin Yu.R.2, Arkhipov I.O.1 and Sultanov R.O.1

1Departments “Software”, M.T. Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

2Mechatronic Systems department, M.T. Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

Pub. Date: December 15, 2015

Cite this paper:
Lozhkin A.G., Abramov I.V., Nikitin Yu.R., Arkhipov I.O. and Sultanov R.O.. In the Issue of Complex Plane Motions of the Robot. Journal of Automation and Control. 2015; 3(3):89-95. doi: 10.12691/automation-3-3-10

Abstract

Two methods (classical and direct) for calculating an elliptical path for the kinematic mechanisms is considered briefly. A new method is proposed for such calculations. It is simpler, convenient for further calculations and can be applied to arbitrary curves in some cases. This method can serve as a basis for building simple robots with complex trajectories.

Keywords:
ellipse calculation of trajectory kinematic mechanisms plane differentiable curves

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Figures

Figure of 9

References:

[1]  Biagiotti, L. and Melchiorri, C. Trajectory Planning for Automatic Machines and Robots. Springer, Science & Business Media, 2008. Hirsh, H., Coen, M.H., Mozer, M.C., Hasha, R. and Flanagan, J.L, “Room service, AI-style,” IEEE intelligent systems, 14 (2). 8-19. Jul.2002.
 
[2]  Božek, P. and Chmelikova, G. Implementation of robot offline programming. In Annals of DAAAM and Proceedings of DAAAM Symposium. pp. 0331-0332.
 
[3]  Efimov N.V. Quadratic forms and matrices. , Science, 2009. (In Russian).
 
[4]  Virgala, I., Frankovský, P., Kenderová, M.: Friction Effect Analysis of a DC Motor. In: American Journal of Mechanical Engineering. Vol. 1, no. 1 (2013), p. 1-5.
 
[5]  Gibson, C.G. Elementary geometry of differentiable curves: an undergraduate introduction. , University press, 2001.
 
[6]  Frankovský, P., Hroncová, D., Virgala, I.: Kinematics analysis of the six member mechanism in MSC Adamsview, In: Acta Simulatio. Roč. 1, č. 1 (2015), s. 17-22.
 
[7]  Lozhkin, A.G. Applied planemetry with singular transformations. Ekaterinburg, IE UrO RAS, 2009. (In Russian).
 
[8]  Lozhkin, A. About definition of singular transformation by N.V. Efimov, Geometry, topology, algebra and number theory, applications. Abst. of International conference dedicate to the 120th anniversary of B.N. Delone, Steklov MI RAS, Lomonosov MSU, , August 2010, pp. 160-162.
 
[9]  Lozhkin, A. and Dyukina, N. Automorphisms: from mirror to symmetry of knowledge. Lozhkin A.G., Izhevsk-Glazov, 2011. (In Russian).
 
[10]  Lozhkin, A. and Dyukina, N. Structurization of analytical geometry on the base of symmetries. Saarbruken, LAP, 2012. (In Russian).
 
[11]  Nikitin, Y.R. and Abramov I.V. CNC machines diagnostics, Proceedings 13-th International Simposium on Mechatronics, Trencinske Teplice, June 2010, pp. 89-91.
 
[12]  , and Kalinkin, A.A. and Nikitin, Y.R. High-maneuverable transport robot, University Review, 2007, Vol. 1, No 2, Alexander Dubcek University of Trencin, Slovakia, , pp. 34-39.
 
[13]  Malindžáková, M., Straka, M., Rosová, A., Kanuchová, M., Trebuňa, P.: Modeling the process for incineration of municipal waste, Przemysl chemiczny, 2015, 94, No. 8, 1000-1004.