Original scientific paper

https://doi.org/10.17559/TV-20150114112458

Solutions to the characteristic equation for industrial robot’s elliptic trajectories

Pavol Božek orcid.org/0000-0002-3891-3847 ; Slovak University of Technology, Faculty of Materials Science and Technology, Institute of Applied Informatics, Automation and Mathematics, Hajdóczyho 1, 917 24 Trnava, Slovakia
Željko Ivandić ; J. J. Strossmayer University of Osijek, Mechanical Engineering Faculty in Slavonski Brod, Trg Ivane Brlić-Mažuranić 2, 35000 Slavonski Brod, Croatia
Alexander Lozhkin orcid.org/0000-0001-9048-2469 ; M. T. Kalashnikov Izhevsk State Technical University, Department of Software, Studencheskaya st. 7, 426069 Izhevsk, Russia
Vadim Lyalin ; M. T. Kalashnikov Izhevsk State Technical University, Department of Software, Studencheskaya st. 7, 426069 Izhevsk, Russia
Vladimir Tarasov ; M. T. Kalashnikov Izhevsk State Technical University, Department of Software, Studencheskaya st. 7, 426069 Izhevsk, Russia

Abstract

Linear independent non-projective transformations are used for different types of applications. Direct analytical method for solving the linear transformation of the characteristic equation for industrial robot is proposed. The theoretical basis of the method derives from the classical solutions with symmetries, but the method does not contain formulas with radicals. Automorphisms are divided into set theory and universal algebra. This feature allows us to use this method more efficiently for other engineering tasks.

Keywords

Diuedonne symmetries; kinematic scheme; linear transformations; industrial robot; set theory; universal algebra

Hrčak ID:

163746

URI

https://hrcak.srce.hr/163746

Publication date:

16.8.2016.

Article data in other languages: croatian

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