基于DG/K方法的成形铣刀设计模型
A Geometric Model of Form-Milling Cutter Design Based on the DG/K Approach
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摘要: 对广泛应用于曲面加工的成形铣刀设计困难的问题,基于DG?K方法,应用刀具展成面T和待加工曲面P在刀触点K的微小邻域内的一致率、曲面的包络和逆包络原理,以加工一个非共轴零件的特征曲面的成形铣刀设计为实例,建立了系统性的成形铣刀设计模型,包括待加工曲面P的数学模型、成形铣刀廓形的设计模型、螺旋刃口曲线数学模型以及实得沟槽曲面数学模型;并利用所建立的模型绘制铣刀螺旋刃口曲线和螺旋沟槽面的可视化图形,以验证该模型的正确性和可用性,为成形铣刀的设计提供一种理论方法和依据.Abstract: Form-milling cutter is widely used in machining of sculptured surfaces, but its design is quite difficult.This paper is aimed to utilize the concept of rate of conformity between the generating surface Tand the sculptured surface Pto be machined in differential vicinity of the cutter contact point K, the principle of envelope and inverse envelope theorem to develop a systematic model for designing formmilling cutter.This model is based on the DG?K approach, including model of generating surface Tof cutting tool, model of helical cutting edge and actual obtained groove surface. Moreover, the visualization of helical cutting edge and helical groove surface according to the established model is also presented.The proposed method can be used as a fundamental method for form-milling cutter design.