JSEA  Vol.5 No.9 , September 2012
Global Minimization of Vertex Height Differences for Freeform Architectural Design
ABSTRACT
Architectural design is leading us in the direction of structures with free and irregular forms. As a consequence of this the connection between the design’s intent and its fabrication represents a challenge when creating a support structure that is geometrically viable and which needs to possess certain aesthetic, fabricational, thermal and strength requirements. To ensure the contacts of the edges of the neighboring insulation panels along their thicknesses, the edges must be cut at different angles, which causes differences in the vertex heights and, furthermore, differences in the positions of the inner metal sheets of the insulation panels. The main goal of the presented research is the development of a post-optimization procedure, by which the minimum joint-height differences will be achieved for all the joints, taking into account all the free-form surfaces of the individual architectural design. To compensate for the residual height differences the use of spacers of different thicknesses is proposed. The paper considers the global minimization of the joint-height differences for a sample free-form architectural design that is meshed with a quad-dominant mesh.

Cite this paper
S. Kulovec, L. Kos and J. Duhovnik, "Global Minimization of Vertex Height Differences for Freeform Architectural Design," Journal of Software Engineering and Applications, Vol. 5 No. 9, 2012, pp. 659-663. doi: 10.4236/jsea.2012.59077.
References
[1]   S. Kulovec, L. Kos and J. Duhovnik, “Mesh Smoothing with Global Optimization under Constraints,” Strojniskivestnik Journal of Mechanical Engineering, Vol. 57, No. 7, 2010, pp. 555-567.

[2]   H. Pottmann and J. Wallner, “The Focal Geometry of Circular and Conical Meshes,” Advances in Computational Mathematics, Vol. 29, No. 3, 2008, pp. 249-268. doi:10.1007/s10444-007-9045-4

[3]   L. Kos, S. Kulovec, V. Zaletelj and J. Duhovnik, “Structure Generation for Free-Form Architectural Design,” Advanced Engineering, Vol. 3, No. 2, 2009, pp. 187-194.

[4]   L. Kos, S. Kulovec and J. Duhovnik, “Support Structure Optimization for Freeform Architectural Design,” TMCE 2010, University of Technology, Delft, 2010, pp. 829-840.

[5]   W. Wang, Y. Liu, D. Yan, B. Chan, R. Ling and F. Sun, “Hexagonal Meshes with Planar Faces,” Tech. Rep. TR-2008-13, Department of Computer Science, The University of Hong Kong, Hong Kong, 2008.

[6]   K. Madsen, H. B. Nielsen and O. Tingleff, “Optimization with Constraints,” 2nd Edition, 2004.

[7]   O. Schenk and K. Gartner, “Solvingunsymmetric Sparse Systems of Linear Equations with Pardiso,” Journal of Future Generation Computer Systems, Vol. 20, No. 4, 2004, pp. 475-487. doi:10.1016/j.future.2003.07.011

[8]   J. Duhovnik, S. Kulovec and L. Kos, “Multiple Vertex Joint Adapter,” Patent No. p201000325, 2010.

[9]   H. Pottman, A. Asperl, M. Hofer and A. Kilian, Eds., “Arhitectural Geometry,” Bentley Institute Press, Exton, 2008.

[10]   H. Pottmann, Y. Liu, J. Wallner, A. Bobenko and W. Wang, “Geometry of Multi-Layer Freeform Structures for Architecture,” ACM Transactions on Graphics, Vol. 26, No. 3, 2007, Article No. 65. doi:10.1145/1276377.1276458

[11]   A. I. Bobenko, T. Hoffmann and B. A. Springhorn, “Minimal Surfaces from Cicle Patterns: Geometry from Combinatorics,” Annals of Mathematics, Vol. 164, No. 1, 2006, pp. 231-264. doi:10.4007/annals.2006.164.231

[12]   J. Cychosz and W. Waggenspack, Jr., “Intersecting a Ray with a Cylinder,” Academic Press, London, Vol. 2, 1994, pp. 353-365.

 
 
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