A Real-time Feedrate Planning Method and Efficient Interpolator with Minimal Feedrate Fluctuation for Parametric Toolpath

Jiali Jiang, Fuyan Lin, Yong Zhang, Hui Zhang, Peiqing Ye
2019 IEEE Access  
Different from linear and circular interpolation, feedrate fluctuation is inevitable for parametric toolpath, which is caused by the nonlinear relation between spline parameters and arc-length. In order to improve the accuracy and efficiency of real-time interpolation algorithm with minimal feedrate fluctuation, this thesis presents an iterative feedback interpolator to restrain the feedrate fluctuation. Estimator and corrector stage are two essential steps of our proposed method. The result of
more » ... the first-order Taylor expansion is used for the iterative initial value in the estimator stage. Thereafter, based on Steffensen iterative accelerator method, the feedback of current feedrate and command feedrate will control to update parameters value repeatedly until feedrate fluctuation rate reaches the allowable value in the corrector stage. By means of the numerical method, it is proved that this iteration method can satisfy the high-order convergence and fast convergence theoretically. In the simulation, the third-degree B-spline curve is utilized to test the proposed method which is equipped with obvious effects on restraining the feedrate fluctuation and improving computation efficiency compared with four existing methods. INDEX TERMS Parametric toolpath, feedrate fluctuation, feedrate planning, CNC machining, iterative feedback interpolator. JIALI JIANG was born in Qiqihar, Heilongjiang, China, in 1992. She received the B.E. degree in mechanical design, manufacture and automation from the Harbin University of Science and Technology, China, in 2015. She is currently pursuing the Ph.D. degree with the Department of Mechanical Electronic and Information Engineering, China University of Mining and Technology, Beijing. She has been studying with the Intelligent NC System Technology Laboratory, Tsinghua University, since 2017. She has participated in several major national science and technology projects. She has assisted teammates to publish several papers, e.g., optimal curvature-smooth transition and efficient feedrate optimization method with axis kinematic limitations for linear toolpath and efficient feedrate optimization method for spline toolpath with curvature-base planning and accurate interpolating, accepted by international journals. Her research interests include CNC machining, motion control, tracking characteristic, and parametric interpolation.
doi:10.1109/access.2019.2934977 fatcat:25k2oxhtajaitd7flc6bud3uou