基于矢量分析的数控加工轨迹设计方法研究注意:本论文已在《机械工程学报》2005,41(3):160-164,170发表 摘 要: 描述了基于矢量分析和NURBS的数控加工轨迹设计方法。基于给定的被加工曲面在其参数域上的优化走刀方向集合,并依据标量场与梯度场的转化关系,建立了精确逼近离散方向矢量的走刀矢量场拟合模型,由此给出了数控加工轨迹的矢量表达形式。以NURBS作为发生矢量场的流函数并借助其较强的局部调控能力,通过调整控制点列,可望实现数控加工轨迹拓扑形状的整体优化调控。验证实例表明该方法能够进行复杂形状数控加工轨迹的精细设计,有利于保证精度指标下曲面加工效率的最大化。 VECTOR ANALYSIS BASED TOOLPATH GENERATION FOR PRECISION SURFACE MACHINING Sun Yuwen Shu Changlin Liu Jian Abstract:A toolpath
generation method is presented for NC machining based on vector analysis
and NURBS. Given optimal cutting directions at sampled points in the parameter
domain of the NURBS surface, a vector field model fitting to these scattered
vectors is established according to the conversion between scalar field
and gradient field. Thus, tool paths inthe parameter domain can be represented
as vector curves of a 2D vector field. Moreover, using NURBS as the stream
function of generating gradient field, a global shape optimization of
tool-paths can be easily completed by adjusting the control point array
of the stream function. The example shows that theprecise design method
of tool paths is very useful in high- efficiency machining of complex
shapes.
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