Optimization with Ruled Surface
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Beschreibung
This dissertation provides a novel design approach with respect
to ruled surface, which is a special type of surface generated by
moving a line in the space. Ruled surface is a favorable choice
in manufacture and can be found in many application fields.
In this dissertation, a ruled surface in Euclidean space is
represented as a curve on a dual unit sphere (DUS) by
employing the Klein mapping and the Study mapping. A novel
definition of dual spherical spline is proposed and a complete
kinematic ruled surface approximation algorithm is developed
and tested with turbocharger blade data. More generally, a
ruled surface is defined by several control points of a dual
spherical spline. It provides an initial prototype for the blade
geometry optimization with ruled surface.
Finally, combining the kinematic ruled surface approximation
algorithm with the offset theory, a novel design and manu-
facturing strategy is proposed. A desired surface is presented
as a tool path of the flank milling method with a cylindrical
tool in 5-axis CNC machining. It integrates the manufacturing
requirements in the design phase, which can reduce the design-
cycle time and save the manufacturing cost.
Autor*in
Yayun Zhou
Themen in »Optimization with Ruled Surface«
Ruled Surface Spline Optimization Blade Design Manufacture