Optimization With Ruled Surface

Download or read book Optimization with Ruled Surface written by Yayun Zhou and published by Logos Verlag Berlin GmbH. This book was released on 2010 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.