The calculations of Jordan curves trajectory of the robot movement-Reference-Cited by-同舟云学术

The calculations of Jordan curves trajectory of the robot movement

Published:2016-09-01 Issue:5 Volume:13 Page:172988141666366
ISSN:1729-8814
Container-title:International Journal of Advanced Robotic Systems
language:en
Short-container-title:International Journal of Advanced Robotic Systems

Author:

Bozek Pavol¹,Pokorný Peter²,Svetlík Jozef³,Lozhkin Alexander⁴,Arkhipov Igor⁴

Affiliation:

1. Faculty of Materials Science and Technology, Slovak University of Technology, Trnava, Slovakia

2. Institute of Production Technologies, Faculty of Materials Science and Technology, Slovak University of Technology, Trnava, Slovakia

3. Department of Production Engineering, Faculty of Mechanical Engineering, Technical University of Kosice, Kosice, Slovakia

4. Departments Department of Sowfware, M. T. Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

Abstract

Calculation of the moving mechanism on a trajectory described by a planar differentiable curve is challenging. The difficulty arises in compliance with high-precision movement. The new method of calculation based on the intrinsic properties of the plane is proposed. The method is based on mathematical linguistics and relational algebra. First, these disciplines are applied to analyze the intrinsic properties of the Euclidean plane. Calculation of classic and new methods for moving point for the flat rod is shown for comparison. Analytical formulas for Jordan curves can be obtained in some cases. The experiments in the areas of geometric modeling and control of a robot are listed briefly. The analytic solution was obtained by nontraditional methods not only for centrally symmetric conic sections but also for Jordan curves.

Publisher

SAGE Publications

Subject

Artificial Intelligence,Computer Science Applications,Software

Link

http://journals.sagepub.com/doi/pdf/10.1177/1729881416663665

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