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.

中文翻译：

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相互作用体系统沿粗糙水平直线的不可逆运动

摘要

运动系统被认为是由有限数量的物体（沿点的物质）组成的链的形式，由于物体之间的相互作用力而在水平粗糙平面上沿直线移动。这些力充当控制变量。干库仑摩擦作用于物体和平面之间。假设所有物体在初始位置和最终位置的速度都为零，则获得了系统中所有物体可进行相同距离的不可逆运动的充分必要条件。不可逆运动被理解为在运动过程中没有物体改变其速度方向的运动。