3次元ソリッド形状のスウィープ立体に関する理論的考察

書誌事項

タイトル別名
  • Theoretical Discussion on Swept-Volumes of Moving Solid Objects.
  • 3ジゲン ソリッド ケイジョウ ノ スウィープ リッタイ ニ カンスル リロン

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抄録

Properties of a swept-volume defined by a solid object moving in a three-dimensional space are theoretically discussed in this paper. First, the generation mechanism of the boundary of a swept-volume is formulated based on a concept of 'forehead' and 'rearend' faces on the object boundary. Next, the geometric necessary condition on the generation mechanism is derived using the minimal analysis theory under an object expression as a set-theoretical combination of volumes with C-class boundaries. Moreover, the geometric necessary condition is used for classification of swept-volume boundaries. The discussion in this paper gives fundamental knowledge for engineering applications such as NC machining simulation, optimization of cutter path, kinematic simulation and so on.

収録刊行物

  • 精密工学会誌

    精密工学会誌 61 (9), 1255-1259, 1995

    公益社団法人 精密工学会

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