数値制御工作機械による多軸制御加工に関する研究 : 工具経路算出法としての等勾配法の原理と3軸加工への応用

概要

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This paper describes an analytical method to calculate tool path based on Gradient Matching Method (GMM). The basic principle of GMM exists in the agreement of three contact planes to three surfaces (work surface, tool surface and tool tracing surface) at the point where tool edge generates work surface. In two dimensions, the principle means that the tangent slope at a cut point on a work and the one at a cutting point on a tool edge are identical. The tool path calculation method described in this paper is lead using this principle. The basic equations for 5-axis machining and entire equations needed for 3-axis machining are shown. The reliability and calculation efficiency of this algorithm is verified using two different types of work profile data consisting of a functional and discrete type.
長崎大学の論文