Optimization with Ruled Surface

Yayun Zhou

ISBN 978-3-8325-2616-0
117 pages, year of publication: 2010
price: 37.00 €
Optimization with Ruled Surface

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.