基于响应面方法的圆锥刀侧铣非可展直纹面的刀位优化

发布时间：2018-01-19 05:22

本文关键词： 圆锥刀侧铣非可展直纹面刀位优化响应面　出处：《计算机集成制造系统》2017年03期 　论文类型：期刊论文

【摘要】：在非可展直纹面的圆锥刀侧铣加工中,刀位优化是减小原理性误差的关键,目前还存在着刀位优化方法复杂或刀位优化后加工精度不高的问题,难以解决。针对上述问题提出一种基于响应面的刀位优化方法。利用设计曲面(非可展直纹面)发出的法向标杆射线,将刀具包络面表示为设计曲面的相伴曲面,并以连续刀位截得的最小标杆值表示包络误差。证明了标杆最小值条件与包络条件的等价性,针对某一瞬时刀位,将设计曲面上通过刀轴的法向标杆定义为特征标杆,在此基础上提出单刀位最优位姿的判定条件:刀具截得的各特征标杆长度的平方和为最小。基于面心组合实验设计方法,结合刀轴位姿空间的逐代压缩策略,再利用响应面方法建立优化目标函数与位姿参数的显式函数关系,进一步得到刀具最优位姿参数。通过实例计算和对比分析证明了所提方法的有效性。结果表明,采用该方法可以提高刀具位姿的最优化性能,模型拟合精度高,预测结果准确,并可以显著降低曲面全域的包络误差。
[Abstract]:The tool position optimization is the key to reduce the principle error in the side milling of non-developable straight surface conical cutter. At present, there are still some problems such as the complexity of tool position optimization method or the low machining precision after the tool position optimization. In view of the above problems, a tool position optimization method based on response surface is proposed. The normal beam rays from the design surface (non-developable straight surface) are used. The envelope surface of the tool is expressed as the concomitant surface of the design surface, and the envelope error is represented by the minimum benchmarking value obtained by the continuous cutter position. The equivalence between the minimum value condition and the envelope condition is proved, and for a certain instantaneous tool position, the equivalence between the minimum value condition and the envelope condition is proved. The normal standard bar on the design surface through the cutter axis is defined as the characteristic benchmark. On this basis, the determination conditions of the optimal position and pose of the single tool position are proposed: the square sum of the length of each characteristic pole cut by the cutter is the minimum. Based on the experimental design method of surface center combination, the generation by generation compression strategy of the position and attitude space of the cutter axis is combined. Then the explicit function relationship between the optimization objective function and the pose parameter is established by using the response surface method. The results show that the proposed method can improve the optimization performance of the tool pose and the model fitting accuracy is high. The prediction results are accurate and can significantly reduce the envelope error of the surface.
【作者单位】：大连交通大学机械工程学院;
【基金】：辽宁省自然科学基金资助项目(201602139)~~
【分类号】：TG54
【正文快照】： 0引言在非可展直纹面的数控加工领域,与传统的球头刀加工相比,利用回转面刀具进行侧铣加工具有高效率、高表面质量的特点,其优越性已经得到广泛的认可[1],但是单纯从原理上分析这种侧铣加工并非一种完全精确的加工方法,其存在的不可避免的误差称之为原理性误差。因此,在实际应

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