A Dynamicly Consistent Model of Normal Reactions at Points of a Mobile Platform Contact with a Surface Taking Account of the Design of Mecanum Wheels and Multicomponent Friction

G. R. Saipulaev; Сайпулаев Г. Р.; B. I. Adamov; Адамов Б. И.; A. I. Kobrin; Кобрин А. И.

doi:10.31857/S0572329922600712

A Dynamicly Consistent Model of Normal Reactions at Points of a Mobile Platform Contact with a Surface Taking Account of the Design of Mecanum Wheels and Multicomponent Friction

Авторлар: Saipulaev G.¹, Adamov B.¹, Kobrin A.¹
Мекемелер:
1. National Research University “Moscow Power Engineering Institute”, 111250, Moscow, Russia
Шығарылым: № 5 (2023)
Беттер: 15-26
Бөлім: Articles
URL: https://journals.rcsi.science/1026-3519/article/view/137546
DOI: https://doi.org/10.31857/S0572329922600712
EDN: https://elibrary.ru/QWTDIZ
ID: 137546

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Аннотация
Авторлар туралы
Әдебиет тізімі
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Статистика

Аннотация

The article investigates the influence of the dependence of normal reactions on motion parameters on the dynamics of a mobile platform by taking into account the design of mecanum wheels and multicomponent friction. To describe the dependence of normal reactions on motion parameters, the theorems on the change in momentum and angular momentum written for the mecanum platform are used. The influence of normal reactions on the dynamics of the mecanum platform is estimated from the results of numerical simulation. The mecanum platform dynamics model takes into account the design of the mecanum wheels and multicomponent friction. The multicomponent friction model proposed by V.F. Zhuravlev that takes into account sliding and spinning is considered. Estimates of the maximum deviations of the normal reactions of the supports, due to the dynamics of the mecanum platform, from the values of the normal reactions calculated for the mobile platform at rest (equal to 16.7% for KUKA youBot robot) are given. Inequalities that limit the maximum values of the control moments, under which the contacting rollers of the mecanum wheels do not come off from the supporting surface are obtained. Based on the simulation results, it is shown that the normal responses are changed by 5–6% of the normal response value calculated in the case of the mecanum platform at rest, which corresponds to the obtained estimates. These changes in normal reactions can lead to a decrease in the accuracy of the movement of the mecanum platform obtained with program control.

Негізгі сөздер

mecanum wheel, mecanum platform, dynamics, multicomponent friction, normal reactions, dynamic consistency

Әдебиет тізімі

Мартыненко Ю.Г., Формальский А.М. О движении мобильного робота с роликонесущими колесами // Изв. РАН. Теория и системы управления. 2007. № 6. С. 142–149.
Borisov A.V., Kilin A.A., Mamaev I.S. An omni-wheel vehicle on a plane and a sphere // Rus. J. Nonlin. Dyn. 2011. V. 7. № 4. P. 785–801. https://doi.org/10.20537/nd1104004
Adamov B.I. A Study of the Controlled Motion of a Four-wheeled Mecanum Platform // Rus. J. Nonlin. Dyn. 2018. V. 14. № 2. P. 265–290. https://doi.org/10.20537/nd180209
Gfrerrer A. Geometry and kinematics of the Mecanum wheel // Computer Aided Geometric Design. 2008. V. 25. № 9. P. 784–791. https://doi.org/10.1016/j.cagd.2008.07.008
Adamov B.I., Saypulaev G.R. Research on the Dynamics of an Omnidirectional Platform Taking into Account Real Design of Mecanum Wheels (as Exemplified by KUKA youBot) // Rus. J. Nonlin. Dyn. 2020. V. 16. № 2. P. 291–307. https://doi.org/10.20537/nd200205.
Adamov B.I., Saypulaev G.R. A Study of the Dynamics of an Omnidirectional Platform, Taking into Account the Design of Mecanum Wheels and Multicomponent Contact Friction // 2020 International Conference Nonlinearity, Information and Robotics (NIR). IEEE. 2020. https://doi.org/10.1109/nir50484.2020.9290193.
Adamov B.I., Saypulaev G.R. Influence of Dissipative Forces and the Design of Mecanum-Wheels on the Omnidirectional Platform Dynamics // 2021 International Conference “Nonlinearity, Information and Robotics” (NIR). IEEE. 2021. https://doi.org/10.1109/nir52917.2021.9666053.
Zhuravlev V.Ph., Klimov D.M. Global motion of the celt // Mech. Solids. 2008. V. 43. № 3. P. 320–327. https://doi.org/10.3103/s0025654408030023
Kireenkov A.A., Semendyaev S.V., Filatov V.F. Experimental study of coupled twodimensional models of sliding and spinning friction // Mech. Solids. 2010. V. 45. № 6. P. 921–930. https://doi.org/10.3103/s0025654410060142
Bayar G., Ozturk S. Investigation of The Effects of Contact Forces Acting on Rollers of a Mecanum Wheeled Robot // Mechatronics. 2020. V. 72. P. 102467. https://doi.org/10.1016/j.mechatronics.2020.102467
Giurgiu T., Puica C., Pupaza C. et al. Mecanum wheel modeling for studying roller-ground contact issues // U.P.B. Sci. Bull. 2017. V. 79. № 2. P. 147–158.
Zobova A.A. A review of models of distributed dry friction // J. Appl. Math. Mech. 2016. V. 80. № 2. P. 141–148. https://doi.org/10.1016/j.jappmathmech.2016.06.008
Иванов А.П. Об общих принципах механики в системах с трением // Сборник научно-методических статей. Т. 27. М.: МГУ, 2009. С. 69–83.
Иванов А.П. Основы теории систем с трением. М., Ижевск: НИЦ “РХД”, ИКИ. 2011. 304 с.
Розенблат Г.М. Динамические системы с сухим трением. М., Ижевск: НИЦ “РХД”. 2006. 204 с.