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Tool path optimisation for flank milling ruled surface based on the distance function

机译:基于距离函数的侧铣直纹面刀具路径优化

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摘要

This paper deals with optimised tool path generation for five-axis flank milling using signed point-to-surface distance function. The main idea is that the geometrical deviations between the design surface and the machined surface are minimised by fine tuning the cutter locations. Based on the tangency conditions in envelope theory, the analytic representation of the envelope surface of a cutter undergoing five-axis motion is first obtained. Then the geometrical deviations between the envelope surface (i.e. machined surface) and the design surface are calculated. Optimisation of the five-axis tool path is modeled as the fine tuning of the initial cutter locations under the minimum zone criterion recommended by ANSI and ISO, which requires minimisation of the maximum geometrical deviation between the design surface and the envelope surface. Using the signed point-to-surface distance function, tool path optimisation for finish milling is formulated as a constrained optimisation problem. Based on the first-order Taylor approximation of the signed distance function, two sequential approximation algorithms for the Minimax and Least Square optimisations are developed. Numerical examples, in which a conical tool is chosen as a special case of flank machining ruled surface, verify the proposed strategy.
机译:本文使用带符号的点到面距离函数,针对五轴侧面铣削优化了刀具路径生成。主要思想是,通过微调刀具位置,可将设计表面和机加工表面之间的几何偏差最小化。根据包络理论中的相切条件,首先得到五轴运动刀具的包络面的解析表示。然后计算出包络面(即机加工表面)和设计表面之间的几何偏差。五轴刀具路径的优化被建模为在ANSI和ISO建议的最小区域标准下对初始刀具位置的微调,这要求最小化设计表面和包络面之间的最大几何偏差。使用带符号的点到表面距离函数,将精铣削的刀具路径优化公式化为约束优化问题。基于有符号距离函数的一阶泰勒逼近,针对最小极小值优化和最小二乘优化开发了两种顺序逼近算法。数值实例证明了所提出的策略,在该实例中选择了锥形刀具作为侧面加工直纹表面的特殊情况。

著录项

  • 来源
    《International Journal of Production Research》 |2010年第14期|P.4233-4251|共19页
  • 作者单位

    State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;

    rnState Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;

    rnState Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;

    rnState Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    tool path optimisation; flank milling; distance function; minimax optimisation; fine tuning cutter locations;

    机译:工具路径优化;侧面铣削距离函数最小最大优化;微调刀具位置;

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