The precision calculating method of robots moving by the plane trajectories

The precision calculating method of robots moving by the plane trajectories

Robots with complex motion paths are very rarely designed. The main obstacle is the lack of the necessary mathematical apparatus, despite the fact that the theory was proposed by Newton. We managed to formulate a new method for obtaining linear transformation parameters. It can be used for ellipse,...

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Bibliographic Details
Main Authors: Pavol Božek, Alexander Lozhkin
Format: Article
Language:English
Published: SAGE Publishing 2019-12-01
Series:International Journal of Advanced Robotic Systems
Online Access:https://doi.org/10.1177/1729881419889556
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spelling doaj-b3bdc53a659f4d41b3f737d55d38d8432020-11-25T03:41:20ZengSAGE PublishingInternational Journal of Advanced Robotic Systems1729-88142019-12-011610.1177/1729881419889556The precision calculating method of robots moving by the plane trajectoriesPavol Božek0Alexander Lozhkin1 Faculty of Materials Science and Technology, Institute of Production Technologies, Slovak University of Technology in Bratislava, Bratislava, Slovakia Department of Software, Institute of Informatics and Computer Engineering, Kalashnikov Izhevsk State Technical University, Izhevsk, RussiaRobots with complex motion paths are very rarely designed. The main obstacle is the lack of the necessary mathematical apparatus, despite the fact that the theory was proposed by Newton. We managed to formulate a new method for obtaining linear transformation parameters. It can be used for ellipse, hyperbola, as well as for other complex flat differentiable curves. A theorem for receiving the values of a transformed curve is formulated in the general case. The theoretical algorithm and the results of experimental studies using the geometric modeling method are presented. The proposed method works for all test curves, but this does not mean that it can always be used. Separation of the characteristic equation imposes additional complexity. Additional research is necessary, but it can be applied to many mechatronic frameworks now.https://doi.org/10.1177/1729881419889556
collection DOAJ
language English
format Article
sources DOAJ
author Pavol Božek
Alexander Lozhkin
spellingShingle Pavol Božek
Alexander Lozhkin
The precision calculating method of robots moving by the plane trajectories
International Journal of Advanced Robotic Systems
author_facet Pavol Božek
Alexander Lozhkin
author_sort Pavol Božek
title The precision calculating method of robots moving by the plane trajectories
title_short The precision calculating method of robots moving by the plane trajectories
title_full The precision calculating method of robots moving by the plane trajectories
title_fullStr The precision calculating method of robots moving by the plane trajectories
title_full_unstemmed The precision calculating method of robots moving by the plane trajectories
title_sort precision calculating method of robots moving by the plane trajectories
publisher SAGE Publishing
series International Journal of Advanced Robotic Systems
issn 1729-8814
publishDate 2019-12-01
description Robots with complex motion paths are very rarely designed. The main obstacle is the lack of the necessary mathematical apparatus, despite the fact that the theory was proposed by Newton. We managed to formulate a new method for obtaining linear transformation parameters. It can be used for ellipse, hyperbola, as well as for other complex flat differentiable curves. A theorem for receiving the values of a transformed curve is formulated in the general case. The theoretical algorithm and the results of experimental studies using the geometric modeling method are presented. The proposed method works for all test curves, but this does not mean that it can always be used. Separation of the characteristic equation imposes additional complexity. Additional research is necessary, but it can be applied to many mechatronic frameworks now.
url https://doi.org/10.1177/1729881419889556
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