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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 315, Pages 211–221
DOI: https://doi.org/10.4213/tm4222 (Mi tm4222) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire

S. A. Reshmin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/tm4222
Abstract: A plane problem of controlled rotation of a wheel with a weightless tire is considered. The wheel is placed on a fixed base and is equipped with a shock absorber to damp vertical vibrations. For simplicity, horizontal motions of the rotation axis are not admitted. It is required to maximize the average traction force on a sufficiently long time interval by applying a bounded control torque on the rotation axis. A nonlinear mathematical model of the system is developed, with the tire modeled by a weightless solid hollow cylinder connected to the wheel disk by numerous weightless springs that are in a pretensioned state. Equations of motion are derived with the use of the quasistatic condition. The dynamics of the process and the maximum traction force are analyzed.
Funding agency Grant number
Russian Science Foundation 18-11-00307
This work is supported by the Russian Science Foundation under grant 18-11-00307.
Received: March 2, 2021
Revised: April 30, 2021
Accepted: June 28, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 315, Pages 198–208
DOI: https://doi.org/10.1134/S0081543821050151
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: S. A. Reshmin, “Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire”, Optimal Control and Differential Games, Collected papers, Trudy Mat. Inst. Steklova, 315, Steklov Math. Inst., Moscow, 2021, 211–221; Proc. Steklov Inst. Math., 315 (2021), 198–208
Citation in format AMSBIB
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\by S.~A.~Reshmin
\paper Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire
\inbook Optimal Control and Differential Games
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 315
\pages 211--221
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4222}
\crossref{https://doi.org/10.4213/tm4222}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 315
\pages 198--208
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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