机械工程 |
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非均匀有理B样条曲线的高精度低速度波动插补算法 |
魏栋,张树有,刘晓健 |
浙江大学 流体动力与机电系统国家重点实验室,浙江 杭州 310027 |
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NURBS curve interpolation algorithm with high accuracy and minimal feedrate fluctuation |
WEI Dong,ZHANG Shu you,LIU Xiao jian |
State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China |
[1]TILLER W, PIEGL L. The NURBS book [M]. 2nd ed. Heidelberg: Springer, 1997: 86-93.
[2]FAN W, LEE C H, CHEN J H. A realtime curvaturesmooth interpolation scheme and motion planning for CNC machining of short line segments [J]. International Journal of Mac hine Tools & Manufacture. 2015, 96(3): 27-46.
[3]CHEN Y D, WEI H X, SUN K. Algorithm for smooth s-curve feedrate profiling generation [J]. Chinese Journal of Mechanical Engineering , 2011, 24(2): 237-247.
[4]金育安, 贺 永, 傅建中.NURBS及Hermite混合高速加工插补算法[J].浙江大学学报:工学版,2014,48(4): 641-648.
JIN Yuan, HE Yong, FU Jianzhong. NURBSHermite hybrid interpolation for highspeed machining[J]. Journal of Zhejiang University: Engineering Science, 2014,48(4): 641-648.
[5] WANG J B,YAU H T. Realtime NURBS interpolator: application to short linear segments [J]. International Journal of Advanced Manufacturing Technology, 2009, 41(11/12): 1169-1185.
[6]季国顺, 王 文, 陈子辰. 基于预估—校正公式的参数曲线插补算法[J].浙江大学学报:工学版, 2008, 42(10): 1765-17- 69.
JI Guoshun, WANG Wen, CHEN Zichen. Parametric curve interpolation algorithm based on predictorcorrector formula[J]Journal of Zhejiang University: Engineering Science, 2008, 42(10): 1765-1769.
[7]YEH S S, HSU P L. Adaptivefeedrate interpolation for parametric curves with a confined chord error [J]. Computer Aided Design, 2002,34(3): 229-237.
[8]王允森, 杨东升, 刘荫忠, 等. NURBS插补中的速度规划与参数计算[J].计算机集成制造系统,2014, 20(8): 1896-19- 02.
WANG Yunsen, YANG Dongsheng, LIU Yinzhong, et al. Velocity planning and parameter calculating in NURBS inte Rpolation [J]. Computer Integrated Manufacturing Systems, 2014, 20(8): 1896-1902.
[9]孙树杰, 林 浒, 郑飂默.反向插补的NURBS曲线前瞻插补算法[J]. 计算机辅助设计与图形学学报, 2014, 26(9): 1543-1549.
SUN Shujie, LIN Hu, ZHENG Liaomo. Lookahead interp olation algorithm with reverse interpolation for NURBS cur- ves [J]. Journal of Computer Aided Design & Computer Graphics, 2014, 26(9): 1543-1549.
[10]徐水龙,徐周波,古天龙,等. 基于干涉预处理的NURBS曲线前瞻插补算法[J]. 计算机集成制造系统, 2015, 21(5): 1229-1236.
XU Shuilong, XU Zhou bo, GU Tianlong, et al. Look-ahea-D interpolation of NURBS curve based on interference pretr-Eatment [J]. Computer Integrated Manufacturing Systems,2015, 21(5): 1229-1236.
[11]罗 钧, 汪 俊, 刘学明,等. 基于S型加减速的自适应前瞻曲线插补算法[J]. 计算机集成制造系统,2013,19(1): 55-60.
LUO Jun, WANG Jun, LIU Xueming, et al. Adaptive NURBS interpolation algorithm with lookahead function based on S-shape acceleration/deceleration[J]. Computer Intergrated Manufacturing Systems, 2013,19(1): 55-60.
[12]李建伟,林 浒,孙玉娥. 基于S曲线加减速的NURBS实时插补前瞻控制方法[J]. 组合机床与自动化加工技术,2009(11):41-49.
LI Jianwei, LIN Hu, SUN Yue. A realtime lookingfor ward nurbs interpolation algorithm based on s-shape[J].Modular Machine Tool & Automatic Manufacturing Te chnique, 2009(11):41-49.
[13]罗福源, 游有鹏, 尹 涓. NURBS曲线 S 形加减速双向寻优插补算法研究[J]. 机械工程学报, 2012,48(5): 147-156.
LUO Fuyuan, YOU Youpeng, YIN Juan. Research on the algorithm of NURBS curve bidirectional optimization in terpolation with stype acceleration and deceleration cont rol [J]. Journal of Mechanical Engineering, 2012,48(5): 147-156.
[14] DAVID K, WARD C. Numerical Analysis: Mathematics of Scientific Computing[M]. 3rd ed. New York: American Mathem atical Society, 2009.
[15] PORTRA F A, PTAK V. Nondiscrete induction and itera tive processes[M]. Boston: Pitman Press, 1984.
[16]DEHGHAN M, HAJARIAN M. some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations [J].Computational and Applied Mathematics, 2010,29(1): 19-30. |
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