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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-8pp.2770-2778

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I.M. Ananievski, "Fastest Motion of a System of Interacting Mass Points along a Rough Horizontal Straight Line," Mech. Solids. 58 (8), 2770-2778 (2023)
Year 2023 Volume 58 Number 8 Pages 2770-2778
DOI 10.3103/S0025654423080022
Title Fastest Motion of a System of Interacting Mass Points along a Rough Horizontal Straight Line
Author(s) I.M. Ananievski (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, anan@ipmnet.ru)
Abstract An optimal control problem is considered for a system of material points that move along a rough horizontal straight line due to the forces of interaction between them and the forces of Coulomb’s dry friction acting between the points and the underlying line. Only forward motion is allowed. A control algorithm is proposed that provides the fastest transition of the system from one state of rest to another.
Keywords system of mass points, Coulomb’s dry friction, time-optimal control
Received 23 May 2023Revised 15 July 2023Accepted 20 July 2023
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