交線アルゴリズムを含めた自由曲面の設計に関する一研究

概要

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This paper is concerned with the design of free-form surfaces using the B-spline in geometric modelling. Firstly, the algorithm for finding intersection lines between two free-form surfaces is discussed. The intersection lines are computed using the Newton-Raphson method between two subdivided Bezier surface patches. The performance of the proposed algorithm is compared with that of the algorithm to compute the intersection lines between planar polygons. Secondly, the combination operation of objects with free-form surfaces is discussed, and it is performed by transforming the intersection lines on the algorithm into consecutive ones, and by creating new boundary loops in the parameter space of each surface. As an example illustrating the effectiveness, a turbine blade and its boss are presented by creating the combination operation and by automatically transforming them into the corresponding boundary elements. The displacement of the turbine blade and its boss are calculated using the Boundary Element Method when the centrifugal force applies to them.
一般社団法人日本機械学会の論文
1987-09-25