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首页> 外文期刊>Journal of Computing and Information Science in Engineering >Geometric Modeling of Fluted Cutters
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Geometric Modeling of Fluted Cutters

机译：切槽刀的几何建模

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摘要

Geometries of cutting tools are usually represented by two-dimensional models. This paper outlines the construction of detailed computer aided design models for a variety of fluted cutters that includes slab mills, end mills, and drills; and establishes a new three-dimensional definition for the geometry of fluted cutters in terms of biparametric surface patches. This work presents unified models of both plain and helical slab mills, end mills (with different end geometries), and drills (with a variety of point styles). The surfaces meant for cutting operations, known as flutes, are modeled as helicoidal surfaces. To model the flutes, sectional geometry of tip-to-tip profile is developed and then it is swept according to a sweeping rule, determined by the type of the cutter under consideration. The slab mill consists of flutes and two planar end surfaces, while the end mills and drills have shanks and end geometries also (in addition to the flutes). The geometric models of shank and end geometries are separately developed. The transitional surfaces of these cutters are modeled as bicubic Bezier surfaces or biparametric sweep surfaces. The proposed models employ a novel nomenclature that defines the form of cutting tools in terms of three-dimensional rotational angles. The relations required to map the proposed three-dimensional angles to conventional angles (forward mapping) and their reverse relations (inverse mapping) are also developed for all three types of fluted cutters. The new paradigm offers immense technological advantages in terms of numerous downstream applications.
机译：切削工具的几何形状通常由二维模型表示。本文概述了针对各种带槽铣刀的详细计算机辅助设计模型的构建，包括板坯铣刀，立铣刀和钻头。并根据双参数曲面补丁为凹槽刀具的几何形状建立了新的三维定义。这项工作介绍了平面和螺旋板坯铣刀，立铣刀（具有不同的端部几何形状）和钻头（具有各种点样式）的统一模型。用于切削加工的表面（称为凹槽）被建模为螺旋表面。为了对凹槽进行建模，需要建立尖端到尖端轮廓的截面几何形状，然后根据由所考虑的刀具类型决定的扫掠规则对其进行扫掠。板坯轧机由排屑槽和两个平面端面组成，而立铣刀和钻头也具有柄和端部几何形状（除排屑槽外）。刀柄和端部几何形状的几何模型是分别开发的。这些刀具的过渡表面被建模为双三次贝塞尔曲面或双参数扫描曲面。提出的模型采用了新颖的命名法，该命名法根据三维旋转角度定义了切削工具的形式。还针对所有三种类型的槽铣刀开发了将建议的三维角度映射到常规角度所需的关系（正向映射）及其反向关系（反向映射）。在众多下游应用方面，新范例提供了巨大的技术优势。

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