Analysis of castor wheels rotation of mobile differential drive robot

Mathematical models for controlling centrally oriented and non-centrally oriented rotary wheels of a mobile robot are considered. Based on the analysis of the kinematics of the mobile robot, the dependences of the rotation angle of the rear and front free wheel on the angular velocities of the right...

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Main Authors: A. A. Radkevich, Shixin Yang, U. A. Zaretski, A. A. Velchenko, S. A. Pauliukavets
Format: Article
Language:English
Published: Belarusian National Technical University 2024-01-01
Series:Системный анализ и прикладная информатика
Subjects:
Online Access:https://sapi.bntu.by/jour/article/view/643
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author A. A. Radkevich
Shixin Yang
U. A. Zaretski
A. A. Velchenko
S. A. Pauliukavets
author_facet A. A. Radkevich
Shixin Yang
U. A. Zaretski
A. A. Velchenko
S. A. Pauliukavets
author_sort A. A. Radkevich
collection DOAJ
description Mathematical models for controlling centrally oriented and non-centrally oriented rotary wheels of a mobile robot are considered. Based on the analysis of the kinematics of the mobile robot, the dependences of the rotation angle of the rear and front free wheel on the angular velocities of the right and left differentially driven drive wheel were obtained. For a specific mobile robot with certain kinematic parameters, graphs of the dependences of the angle of rotation of the free wheels on the radius of rotation of each wheel and graphs of the dependences of the angle of rotation of the free wheels on the angular velocities of the driving wheels were constructed. The results obtained made it possible to establish a pattern between the angle of rotation of the castor wheels and the design characteristics of the robot. A certain range of angular velocities of the driving wheels in accordance with the limiting values of the caster wheel rotation angles makes it possible to take into account the obtained mathematical models to increase the stability of the movement of the mobile robot.
format Article
id doaj-art-2a824949ef9d42809f74feb148f865f3
institution Kabale University
issn 2309-4923
2414-0481
language English
publishDate 2024-01-01
publisher Belarusian National Technical University
record_format Article
series Системный анализ и прикладная информатика
spelling doaj-art-2a824949ef9d42809f74feb148f865f32025-02-03T11:37:40ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812024-01-0104303610.21122/2309-4923-2023-4-30-36474Analysis of castor wheels rotation of mobile differential drive robotA. A. Radkevich0Shixin Yang1U. A. Zaretski2A. A. Velchenko3S. A. Pauliukavets4Belarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityMathematical models for controlling centrally oriented and non-centrally oriented rotary wheels of a mobile robot are considered. Based on the analysis of the kinematics of the mobile robot, the dependences of the rotation angle of the rear and front free wheel on the angular velocities of the right and left differentially driven drive wheel were obtained. For a specific mobile robot with certain kinematic parameters, graphs of the dependences of the angle of rotation of the free wheels on the radius of rotation of each wheel and graphs of the dependences of the angle of rotation of the free wheels on the angular velocities of the driving wheels were constructed. The results obtained made it possible to establish a pattern between the angle of rotation of the castor wheels and the design characteristics of the robot. A certain range of angular velocities of the driving wheels in accordance with the limiting values of the caster wheel rotation angles makes it possible to take into account the obtained mathematical models to increase the stability of the movement of the mobile robot.https://sapi.bntu.by/jour/article/view/643rotary wheelmobile robotdifferential drivecastor wheelkinematic modelturning angleturning radius
spellingShingle A. A. Radkevich
Shixin Yang
U. A. Zaretski
A. A. Velchenko
S. A. Pauliukavets
Analysis of castor wheels rotation of mobile differential drive robot
Системный анализ и прикладная информатика
rotary wheel
mobile robot
differential drive
castor wheel
kinematic model
turning angle
turning radius
title Analysis of castor wheels rotation of mobile differential drive robot
title_full Analysis of castor wheels rotation of mobile differential drive robot
title_fullStr Analysis of castor wheels rotation of mobile differential drive robot
title_full_unstemmed Analysis of castor wheels rotation of mobile differential drive robot
title_short Analysis of castor wheels rotation of mobile differential drive robot
title_sort analysis of castor wheels rotation of mobile differential drive robot
topic rotary wheel
mobile robot
differential drive
castor wheel
kinematic model
turning angle
turning radius
url https://sapi.bntu.by/jour/article/view/643
work_keys_str_mv AT aaradkevich analysisofcastorwheelsrotationofmobiledifferentialdriverobot
AT shixinyang analysisofcastorwheelsrotationofmobiledifferentialdriverobot
AT uazaretski analysisofcastorwheelsrotationofmobiledifferentialdriverobot
AT aavelchenko analysisofcastorwheelsrotationofmobiledifferentialdriverobot
AT sapauliukavets analysisofcastorwheelsrotationofmobiledifferentialdriverobot