Mathematical modeling and analysis of conditions for the robot’s uniformly accelerated motion along a straight rail track, taking into account the delay intervals

Abstract

Abstract The problem of the straight-line motion of a robot along a rectilinear rail track with the constant acceleration with delay intervals is considered. The aim of the paper is to determine and analyse the conditions describing the straight-line uniformly accelerated motion of the robot, taking into account the delay intervals. The law of speed change of the robot is simulated, using linear piecewise continuous functions of the time of motion. The necessary conditions for the uniformly accelerated motion of the robot in the acceleration and deceleration sections are formulated. Additionally, the criteria for uniformly variable acceleration and deceleration in the straight-line motion of the robot without delay intervals are recorded. It should be noted that the conditions and patterns presented in this paper have many practical applications. For example, they can be used in the development of traffic routes or in the operation of railway trains.