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Nonreversible Motion of a System of Interacting Bodies Along a Rough Horizontal Straight Line

  • CONTROL IN DETERMINISTIC SYSTEMS
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Abstract

A locomotion system is considered in the form of a chain of a finite number of bodies (materi along points) moving in a straight line on a horizontal rough plane due to the forces of interaction between the bodies. These forces serve as the control variables. Dry Coulomb friction acts between the bodies and the plane. The necessary and sufficient conditions are obtained under which the nonreversible motion of all bodies of the system for the same distance is possible under the assumption that in the initial and final positions the velocities of all bodies are equal to zero. Nonreversible motion is understood as a motion in which none of the bodies changes the direction of their velocity in the process of moving.

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Funding

This study was carried out in accordance with state assignment АААА-А20-120011690138-6 and was partially supported by the Russian Foundation for Basic Research, project nos. 20-01-00378-a and 21-51-12004-NNIO.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences (IPMech RAS), 119526, Moscow, Russia

    N. N. Bolotnik & T. Yu. Figurina

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  1. N. N. Bolotnik
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  2. T. Yu. Figurina
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Correspondence to N. N. Bolotnik or T. Yu. Figurina.

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Bolotnik, N.N., Figurina, T.Y. Nonreversible Motion of a System of Interacting Bodies Along a Rough Horizontal Straight Line. J. Comput. Syst. Sci. Int. 62, 434–444 (2023). https://doi.org/10.1134/S1064230723030024

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  • DOI: https://doi.org/10.1134/S1064230723030024

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