关键词: S曲线, 转接速度, 夹角, Matlab

Abstract:

When the profile line of numerical control machining is broken line, the angle between the two path sections makes that it is necessary to take acceleration and deceleration control on the inflection point so as to make sure the trajectory precision. At present, we have many control methods of single coordinate motion by numerical control machining, among which the acceleration and deceleration control method based on S curve is the representative one. This thesis, on the basis of S-type acceleration and deceleration control curve, develops a new algorithm of S curve acceleration and deceleration control. With this new algorithm, we get a mathematical model of path sections geometric elements and the relation between allowable velocity and angle. We also draw that the transition velocity Vi of i path section is affected by turning vector angle ai, turning velocity of i-1 and i+1 path sections, and path lengths of i and i+1 path sections. Simulation of programming on the basis of Matlab leads to the changes of the corresponding coordinate velocity passing the point of broken lines, when the angles of the two adjacent broken lines are 90° and 135°.

Key words: S curve, transition velocity, angle, Matlab