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.
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Funding
This work was performed in accordance with government order no. АААА-А20-120011690138-6 with the partial financial support of the Russian Foundation for Basic Research, project no. 21-51-12004-NNIO.
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To In loving memory of L.D. Akulenko
Translated by E. Smirnova
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Ananievski, I.M. Fastest Motion of a System of Interacting Mass Points along a Rough Horizontal Straight Line. Mech. Solids 58, 2770–2778 (2023). https://doi.org/10.3103/S0025654423080022
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DOI: https://doi.org/10.3103/S0025654423080022