Blade Geometry Design with Kinematic Ruled Surface Approximation

摘要

A blade geometry design method is proposed in this paper, which adopts a novel kinematic ruled surface approximation algorithm. The algorithm is applied to approximate a free-form blade surface as a ruled surface in order to reduce the manufacturing cost. By applying Klein mapping and Study mapping, a ruled surface in Euclidean space is transformed to a curve on a Dual Unit Sphere (DUS). The kinematic ruled surface approximation algorithm is set up based on the novel definition of a spline on the DUS and the corresponding spline interpolation algorithm. This representation of ruled surface links directly to the manufacture procedure.