整合型迴轉面銑刀刃口曲線模型設計

Geometric Modeling and Cutting-edge Curve Design for Revolving Cutlers

謝忠明(Jone-Ming Hsieh)

《高雄師大學報：自然科學與科技類》 20期 (2006/06) Pp. 63-79

https://doi.org/10.7060/KNUJST.200606.0063

摘要

刀具是製造工業非常重要的技術工具，刀具的性能和品質的優劣對於切削加工的精度、效率和產品品質都有直接而嚴重的影響，刀具產業的振興，首先需徹底研究引進新技術，進一步加強基礎研究與應用，提昇研發能力，掌握現代先進產品之新技術，方能使技術理論化，打破經驗的侷限性，開創屬於本國特色的刀具技術體系。 現代刀具設計與製造技術結合了基礎數學理論、電腦輔助應用技術、現代設計方法、材料科學與加工技術等各領域學門的研究成果，數學理論的發展更是推動技術進步的主要關鍵，亦是應用電腦輔助設計技術解決實際問題之重要橋樑，因此本文應用微分幾何，數值方法等理論基礎，來探討特種迴轉銑刀的刃口曲線設計、模擬，並建立迴轉面上螺旋刀口曲線求解的通用模型，同時探討整合型迴轉面迴轉銑刀，在不同迴轉面連接處刃口曲線連續性問題。

關鍵字

刃口曲線 ； 微分幾何

並列摘要

The cutter is a fundamental machine tool used extensively throughout manufacturing industries. The performance and quality of the cutter have a direct influence upon the cutting precision, product quality and production rate. Invigorating the domestic cutter industry and establishing a characteristic system of cutter technology requires that new technology be imported, the constraints of previous experience be overcome, a fundamental research and development capability be developed and new machine tool materials be adopted
Modern cutter design and manufacturing technologies integrate the results from a diverse range of previous studies, including those performed within the fields of fundamental mathematical theory, computer-aided application technology, modern design technology, material science and manufacturing technology. In each field, technological progress is reliant upon the development of mathematical theory. In the present study, differential geometry, engagement relationship theory, coordinate transfer and numerical methods are used to develop a systematic method for the cutting-edge curves design, simulation, manufacturing and compensation of special revolving cutters, to establish mathematical models that are solved by helical cutting-edges of the revolving face, and to probe the contiguous problems when integraded revolving face cutters connect different cutting-edge curves.

並列關鍵字

cutting-edge curves ； differential geometry

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