形状創成関数に基づいた工学基礎教育-空間形状モデルの構築とその活用-

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This paper shows representation and application of three-dimensional shape model based on theform shaping function, which express the machined shape generating from the structure of machine tools.The motion of machine tools consists of translational motion along the orthogonal three axes respectively(X, Y and Z axis) and rotational motion around each axis. Form shaping function is expressed as a chain ofrelative motions of each component, which are as above 6 motions, from a workpiece on machine tools tocutting-tool mathematically. The form shaping function can represent the object shape in three-dimensionalspace by applying a point cutting tool. The mathematical expression of three-dimensional geometry can besimplified by symbolizing the coordinate transformations in physical sense. By using this method, studentscan understand the basics of the coordinate transformation in three-dimensional space more clearly andimprove the ability of application of using algebraic geometry.
2012-03-00