插补前加减速运动时间周期化等效变换算法

摘要

To solve the problem that the motion time calculated from acceleration and deceleration control before interpolation control in CNC system,on the basis of continuous time velocity profiles and the principles of displacement equivalent transformation,an algorithm for the generation of peri-odic discrete velocity profiles was proposed,whose motion time fited into an integral number of inter-polation periods.The feedrate computational formulae for each interpolation period of different accel-eration and deceleration phases were deduced in detail in cases where both start speed and end speed were any desired positive real number.The proposed method did not need variant interpolation peri-ods and it was easy to apply in traditional servo motion control system.The interpolation instance shows it is able to generate such velocity profile that the constant speed is strictly equal to instruction speed and guarantees the velocity at the segment terminal to be the specified speed.In addition,it has high motion efficiency and interpolation accuracy.%针对数控系统插补前加减速控制计算得到的运动时间不是插补周期的整数倍的问题，提出了基于连续时间速度曲线与位移等效变换原理，生成满足插补周期整数倍特征的周期化离散速度曲线的方法，并以梯形加减速为例，详细推导了起止速度为任意正实数情况下不同加减速阶段的各个插补周期的进给速度计算公式。该方法无需改变插补周期，易于与传统伺服运动控制系统兼容。插补实例表明，提出的方法能够生成匀速运动速度严格等于指令速度的速度曲线，保证以指定的速度通过线段终点，且具有较高的运动效率与插补精度。