形状創成関数と三次元CADの活用による空間形状表現

概要

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This paper shows an application of three-dimensional geometry representation method based on theform shaping function, which express the machined shape generating from the structure of machine tools, and3-Dimentional CAD. The motion of machine tools consists of translational motion along the orthogonal threeaxes respectively (X, Y and Z axis) and rotational motion around each axis. It is a form shaping function whichexpresses the chain of relative motion of each component from workpiece on machine tools to cutting-toolmathematically. The form shaping function can express the object shape in three-dimensional space by applyinga point cutting tool. The mathematical expression of three-dimensional geometry can be simplified bysymbolizing the coordinate transformations in physical sense. By using this method, students can understand thebasics of the coordinate transformation in three-dimensional space more clearly and improve the ability ofdesign using 3D-CAD
独立行政法人国立高等専門学校機構の論文