A CAD approach to helical groove machining - I. Mathematical model and model solution

S. K. Kang; K. F. Ehmann; C. Lin

doi:10.1016/0890-6955(95)92631-8

A CAD approach to helical groove machining - I. Mathematical model and model solution

S. K. Kang^*, K. F. Ehmann, C. Lin

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

128 Scopus citations

Abstract

The problem of helical groove machining in practice is still predominantly approached from an empirical trial and error standpoint. For the analytical resolution of this problem through a CAD approach, a generalized helical groove machining model, utilizing the principles of differential geometry and kinematics, has been formulated. The approach is based on the establishment of the fundamental analytical conditions of engagement between the generating tool surface and generated helical groove surface. The general mathematical relationships established facilitate the determination of the resulting tool or helical groove profile for a given helical groove or cutting tool profile, respectively.

Original language	English (US)
Pages (from-to)	141-153
Number of pages	13
Journal	International Journal of Machine Tools and Manufacture
Volume	36
Issue number	1
DOIs	https://doi.org/10.1016/0890-6955(95)92631-8
State	Published - Jan 1996

ASJC Scopus subject areas

Mechanical Engineering
Industrial and Manufacturing Engineering

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abstract = "The problem of helical groove machining in practice is still predominantly approached from an empirical trial and error standpoint. For the analytical resolution of this problem through a CAD approach, a generalized helical groove machining model, utilizing the principles of differential geometry and kinematics, has been formulated. The approach is based on the establishment of the fundamental analytical conditions of engagement between the generating tool surface and generated helical groove surface. The general mathematical relationships established facilitate the determination of the resulting tool or helical groove profile for a given helical groove or cutting tool profile, respectively.",

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AB - The problem of helical groove machining in practice is still predominantly approached from an empirical trial and error standpoint. For the analytical resolution of this problem through a CAD approach, a generalized helical groove machining model, utilizing the principles of differential geometry and kinematics, has been formulated. The approach is based on the establishment of the fundamental analytical conditions of engagement between the generating tool surface and generated helical groove surface. The general mathematical relationships established facilitate the determination of the resulting tool or helical groove profile for a given helical groove or cutting tool profile, respectively.

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A CAD approach to helical groove machining - I. Mathematical model and model solution

Abstract

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