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Tool path generation for triangular meshes using least-squares conformal map

机译:使用最小二乘保形图生成三角形网格的刀具路径

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摘要

Tool path generation is an interesting and challenging task in free-form surface machining. Iso-planar tool path generation is one of the common approaches to dealing with this task. However, it suffers from an inherent drawback that intersecting intervals of the iso-planar method are limited to surface geometric features. This results in poor machining efficiency in flat regions due to redundant machining paths. For this problem, a new tool path generation method for triangular meshes is proposed based on the least-squares conformal map (LSCM). After LSCM parameterisation with minimal stretching energy, the triangular meshes are unfolded on a plane, where the principal component analysis (PCA) technique is employed to determine a suitable drive line for calculating cutter contact paths by the iso-planar strategy. Therefore, the tool paths are generated in a plane and the unevenness of the traditional iso-planar method is improved. The feasibility and effectiveness of the developed method is demonstrated through a test experiment.
机译:在自由曲面加工中,刀具路径的生成是一项有趣且具有挑战性的任务。等平面工具路径生成是处理此任务的常用方法之一。然而,其具有固有缺点,即等平面方法的相交间隔限于表面几何特征。由于冗余的加工路径,这导致在平坦区域中的加工效率差。针对该问题,提出了一种基于最小二乘共形图(LSCM)的三角网格刀具路径生成新方法。在以最小的拉伸能量进行LSCM参数化后,将三角形网格展开到一个平面上,在该平面上采用主成分分析(PCA)技术来确定合适的传动线,以便通过等平面策略计算刀具接触路径。因此,刀具路径在平面中产生,并且改善了传统等平面方法的不均匀性。通过试验实验证明了该方法的可行性和有效性。

著录项

  • 来源
    《International Journal of Production Research》 |2011年第13期|p.3653-3667|共15页
  • 作者单位

    State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, PR China;

    State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, PR China;

    State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, PR China;

    Modern Manufacture Engineering Center of School of Mechanical Engineering, Heilongjiang University of Science and Technology, Harbin, 150027, PR China;

    State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, PR 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 generation; triangular meshes; least-squares conformal map; iso-planar method; free-form surfaces;

    机译:工具路径生成;三角形网格;最小二乘保形图等平面法自由曲面;

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