High-velocity interpolation method for arcs based on tangent vectors
The current CNC system for the speed planning and interpolation processing of circular arc fails to maximize the performance of the equipment.On this basis,a speed integration method based on tangent vector and applies the tangent vector was proposed to the speed planning and interpolation processing of circular arc.Its core idea was to utilize the tangent vector of circular arc to solve the synthetic acceleration,which ensured that the maximum allowable acceleration was used for velocity planning at each circular arc point.In the circular arc interpolation stage,the tangent vector was used to deter-mine the longest axis of the pulse,which solved the theoretical coordinates of the next interpolation point and the basis of pulse sending.The velocity planning method based on circular arc tangent vector proposed could accomplish the response of velocity change with shorter time and distance,which was in line with the current development requirements of high-speed and high-precision,and the feasibility of the proposed algorithm was verified by simulation.
circular interpolationfeedrate schedulingsynthetic accelerationtangent vectorspeed integral