Nonreversible Motion of a System of Interacting Bodies Along a Rough Horizontal Straight Line-Reference-Cited by-同舟云学术

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

Published:2023-05-01 Issue:3 Volume:2 Page:3-13
ISSN:0002-3388
Container-title:Известия Российской академии наук. Теория и системы управления
language:
Short-container-title:Teoriâ i sistemy upravleniâ

Author:

Bolotnik N. N.¹,Figurina T. Yu.¹

Affiliation:

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

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.

Publisher

The Russian Academy of Sciences

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