A bisection method for the milling of NURBS mapping projection curves by CNC machines

doi:10.1007/s00170-016-9569-1

	A bisection method for the milling of NURBS mapping projection curves by CNC machines
	Wang, Xiao-Rong 1,2; Wang, Zhao-Qin 3,4; Wang, Yu-Sen 2; Lin, Tie-Song 1; He, Peng 1
	2017-07
发表期刊	INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY
ISSN	0268-3768
卷号	91 期号:1-4 页码:155-164
摘要	The concept of non-uniform rational B-spline (NURBS) mapping projection curves (NURBS-MPCs) is proposed in this work. A NURBS-MPC is a projection curve on a NURBS surface of a NURBS curve. The bisection method is used to interpolate NURBS-MPCs. Using an assigned chord, the interpolation of a NURBS-MPC can be obtained easily, and the milling precision of the NURBS-MPC can be controlled effectively. Based on the NURBS theory, the bisection method, and the parametric programming method, an online NURBS software package (NURBS-SP) for FANUC 0i-MB/MC/MD CNC system and an offline NURBS toolbox (NURBS-T) for Matlab have been developed. Using an example of a planar NURBS curve, a NURBS-MPC is created on a NURBS surface. The simulation and milling of the NURBS-MPC show that the bisection method is feasible and effective. The online NURBS-SP endows the NURBS interpolation function for those CNC systems only equipped with linear interpolation (G01) and circular interpolation (G02/G03) and extends the interpolation functions and machining capability of low-middle level three-axis milling machines. The interactive application of the NURBS-T and NURBS-SP can accomplish the design, simulation, and milling for NURBS-MPCs. This feature makes them to have broad application prospects in CNC machining industry.
关键词	NURBS mapping projection curves NURBS surface Bisectionmethod NURBS toolbox NURBS software package
DOI	10.1007/s00170-016-9569-1
收录类别	SCI ; SCIE
语种	英语
资助项目	Scientific Research Fund of Gansu Provincial Education Department[2015A-050]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Manufacturing
WOS记录号	WOS:000402260300014
出版者	SPRINGER LONDON LTD
EI入藏号	20164803064865
EI主题词	Interpolation
EI分类号	405.3 Surveying - 603.1 Machine Tools, General - 604.2 Machining Operations - 722.4 Digital Computers and Systems - 731.1 Control Systems - 921 Mathematics - 921.6 Numerical Methods
引用统计	被引频次：12[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/33220
专题	兰州理工大学省部共建有色金属先进加工与再利用国家重点实验室
通讯作者	Lin, Tie-Song; He, Peng
作者单位	1.Harbin Inst Technol, State Key Lab Adv Welding & Joining, Harbin 150001, Peoples R China; 2.Lanzhou Jiaotong Univ, Sch Mechatron Engn, Lanzhou 730070, Peoples R China; 3.Lanzhou Univ Technol, State Key Lab Adv Proc & Recycling Nonferrous Met, Lanzhou 730050, Peoples R China; 4.Lanzhou Jiaotong Univ, Sch Railway Technol, Lanzhou 730010, Peoples R China
推荐引用方式 GB/T 7714	Wang, Xiao-Rong,Wang, Zhao-Qin,Wang, Yu-Sen,et al. A bisection method for the milling of NURBS mapping projection curves by CNC machines[J]. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY,2017,91(1-4):155-164.
APA	Wang, Xiao-Rong,Wang, Zhao-Qin,Wang, Yu-Sen,Lin, Tie-Song,&He, Peng.(2017).A bisection method for the milling of NURBS mapping projection curves by CNC machines.INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY,91(1-4),155-164.
MLA	Wang, Xiao-Rong,et al."A bisection method for the milling of NURBS mapping projection curves by CNC machines".INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY 91.1-4(2017):155-164.

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