Crosswise Recursive Algorithm of Optimized Wrinkling for Quadric Surface Metal Curtain Wall

Yalong Zhang*, 1, 3, Xuan Ma2
1 College of Electrical and Information Engineering, Quzhou University, Quzhou 324000, China
2 Faculty of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
3 School of Electrical, Electronic and Computer Engineering, University of Western Australia, Perth 6009, Australia

© 2015 Zhang and Ma

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the College of Electrical and Information Engineering, Quzhou University, Quzhou 324000, China; Tel: 86-0570-8015081; Fax: 86-0570-8015081; E-mail:


Metal curtain walls have been used to decorate the interiors and exteriors of large buildings. Most exteriors used in performing surface modeling of large buildings are linked or pieced by quadric surface. This surface, which is non-expansible, will cause wrinkling when stamped and used as a flat sheet metal of a metal curtain wall. These wrinklings are not distributed effectively because of the curvature asymmetry of surface modeling. Hence, this study proposes a horizontal recursive algorithm of optimized wrinkling that will enable effective distribution of wrinklings when the surface is stamped to form a shape, thereby satisfying the requirements of precision in surface stamping.

Keywords: Flat unfolding, metal curtain wall, optimized wrinkling, quadric surface.