Real-time Bezier interpolation satisfying chord error constraint for CNC tool path

作     者：FAN Wei LEE ChenHan CHEN JiHong XIAO Yao 

作者机构：National NC System Engineering Research Center Huazhong University of Science and Technology Institute of Mechanical Manufacturing Technology China Academy of Engineering Physics Aerospace Engineering Department Zhejiang University 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2016年第59卷第2期

页      面：203-213页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 080202[工学-机械电子工程] 08[工学] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Science and Technology Major Projects(Grant Nos.2013ZX04007041 and 2012ZX04001012) General Financial Grant from the China Postdoctoral Science Foundation(Grant No.2014M552032) 

主　　题：real-time CNC machining stretch energy jerk energy loop-free chord error 

摘      要：G01 code generated by a computer-aided manufacture （CAM） system is the most common form of tool trajeclory in computer numerical control （CNC） machining. A tool path composed of short line segments has discontinuous tangenc t and curvature, generating large fluctuations of feedrate and acceleration, which in turn produces vibration in a machine tool. To obtain a smooth tool path, many methods on tool-path smoothing have been developed. However, the shortcomings i：1 these methods exist when they are employed in a CNC system. It is difficult to simultaneously to guarantee the following requirements of CNC machining： （1） chord error should be rigidly constrained; （2） G01 points should be interpolated; （3） cur,,ature should be continuous （G2）; （4） machining should be applicable to spatial cases; （5） real-time performance of computaEion is *** on these various requirements, this study proposes an interpolation scheme using CUDlC t^ezler curves anu mciuucb illl adjustment strategy to eliminate deficiencies in the tool path. The tool path generated is G2, chord-elror-constrained, G01-point-interpolated, loop-free, and optimized for both stretch and jerk energy. The method is applicable ：o 3D cases and involves only simple algebraic computations. Thus, the algorithm can be applied to real-time CNC machining. A simulation is conducted to validate the efficiency of the algorithm. In addition, an experiment reveals its advantage over Hermite interpola- tion in surface quality and machining efficiency.