Research on Quartic Polynomial Velocity Planning Algorithm Based on Filtering

A novel algorithm based on NURBS curve is addressed for acceleration/deceleration of CNC machine tools by combining quartic polynomial velocity planning and filtering, aiming at vibration of CNC caused by sharp acceleration and jerk. Its validity has been proved theoretically. By connecting a filter after the routine results, continuous acceleration and jerk are further smoothed. Experiment shows that this is a simple and effective algorithm to achieve further smoothing of continuous acceleration and jerk, thereby reducing machine vibration and achieving high speed, high efficiency and high precision machining.