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季国顺, 俞武嘉, 陈子辰. 曲率单调分割NURBS曲线及双侧优化进给速度[J]. 计算机辅助设计与图形学学报, 2017, 29(2): 377-383.
引用本文: 季国顺, 俞武嘉, 陈子辰. 曲率单调分割NURBS曲线及双侧优化进给速度[J]. 计算机辅助设计与图形学学报, 2017, 29(2): 377-383.
Ji Guoshun, Yu Wujia, Chen Zichen. Bilateral Optimization Feedrate on Splitting NURBS Curve with its Curvature Monotonicity[J]. Journal of Computer-Aided Design & Computer Graphics, 2017, 29(2): 377-383.
Citation: Ji Guoshun, Yu Wujia, Chen Zichen. Bilateral Optimization Feedrate on Splitting NURBS Curve with its Curvature Monotonicity[J]. Journal of Computer-Aided Design & Computer Graphics, 2017, 29(2): 377-383.

曲率单调分割NURBS曲线及双侧优化进给速度

Bilateral Optimization Feedrate on Splitting NURBS Curve with its Curvature Monotonicity

  • 摘要: 针对常用速度规划方法忽视速度与NURBS曲线参数点之间贴合程度影响轮廓插补精度的问题,提出按曲率单调性分割NURBS曲线及其规划进给速度的算法.首先分析了NURBS曲率单调性;其次按照临界曲率点、临界曲率值点及曲率单调性转折点分割NURBS曲线,并求取各分段弧长;最后结合机床动力学性能,从曲率临界点出发,用S曲线分别向前、后2个方向朝曲率临界值点、曲率转折点优化进给速度.与常用规划算法进行对比的结果表明,该算法可以通过加工时间的较小延长,极大地提高轮廓插补精度.

     

    Abstract: Accuracy degree of mapping relation between curve parameter and feedrate affecting interpolation precision is neglected with conventional planning feedrate method generally.Aiming at this problem,a method of splitting the NURBS curve following its curvature monotonicity and thereby planning feedrate algorithm is proposed.First set the critical value of curvature; second analyze the curvature monotonicity of NURBS curve,and then split the NURBS curve into several sub-segments according its critical value of curvature,critical and transition points of curvature,and calculate arc length of each sub-segments; at last,considering the constrains owing to dynamical properties of machine tools,optimize suitable feedrate from critical points of curvature bilaterally to critical value and turning points of curvature with S acc/dec.Comparison results between the conventional and proposed planning algorithm indicates that the interpolation precision can be remarkably enhanced along with little prolonging machining time utilizing the proposed algorithm.

     

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