Design method for industrial product using clothoid curve, industrial products designed by the design method, and method and device for numerical control using the clothoid curve

摘要

A trajectory of motion of the mechanical element is designed by using a three-dimensional curve, referred to as a three-dimensional clothoid curve, in which each of a pitch angle and a yaw angle in a tangential direction is given by a quadratic expression of a curve length or a curve length variable. A trajectory of a machine tool or a contour shape of a workpiece is expressed by using a three-dimensional curve, referred to as a three-dimensional clothoid curve, in which each of a pitch angle and a yaw angle in a tangential direction is given by a quadratic expression of a curve length or a curve length variable to control motion of the machine tool based on the three-dimensional curve.