Geometric Design of Axisymmetric Spatial Structures Using Planar Angulated Members
Publication: Journal of Architectural Engineering
Volume 25, Issue 2
Abstract
Geometric design methods for deployable structures matured considerably during the latter half of the twentieth century. This article presents the geometric formulation for axisymmetric spatial structures using angulated scissor units. The formulas for the principal parameters, namely, the semilengths and kink angles of angulated members, are derived using three methods. One of them is a simplified semi-analytical method based on a unique property of isosceles trapezoids. The method lends itself for use in graphical and parametric computer programs. It was found that predetermined shapes dictated by architectural or other reasons may not deploy or compact fully. The packaging of forms can be improved by using more polygon sides and fewer vertical layers. To calculate fully deployable and compact forms, a compactness criterion is defined and discussed. The influence of shape and geometric parameters is described to motivate intuitive understanding for the design of any axisymmetric form. Although research on geometric design seems to have advanced considerably, there is still scope for improved and simplified methods that lend themselves to implementation in graphical computer programs.
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Acknowledgments
The authors are grateful to the School of Architecture at the University of Illinois for making its resources available for this research.
References
Al Khayer, M., and H. Lalvani. 2000. “Scissors-action deployables based on space-filling of polygonal hyperboloids.” Vol. 80 of IUTAM-IASS Symp. on deployable structures: Theory and applications. Solid mechanics and its applications, edited by S. Pellegrino and S. D. Guest. Berlin: Springer.
Calatrava, S., A. Tzonis, and L. Lefaivre. 2001. Santiago Calatrava’s creative process. Basel, Switzerland: Birkhäuser.
Escrig, F., and J. P. Valcarcel. 1987. “Curved expandable space grids.” In Proc., Int. Conf. on the Design and Construction of Non-Conventional Structures, 157–168. Stirling, UK: Civil-Comp.
Gantes, C. J. 2001. Deployable structures: Analysis and design. Southampton, UK: WIT.
Kokawa, T. 2000. “Structural idea of retractable loop dome.” J. Int. Assoc. Shell Spatial Struct. 41 (133): 111–116.
Langbecker, T. 1999. “Kinematic analysis of deployable scissor structures.” Int. J. Space Struct. 14 (1): 1–15. https://doi.org/10.1260/0266351991494650.
Nooshin, H., and O. Samavati. 2015. “Formulation of onion domes: Some amendments.” Accessed November 27, 2017. http://formexia.com/.
Patel, J., and G. K. Ananthasuresh. 2007. “A kinematic theory for radially foldable planar linkages.” Int. J. Solids Struct. 44 (18–19): 6279–6298. https://doi.org/10.1016/j.ijsolstr.2007.02.023.
Pellegrino, S. 2001. Deployable structures. Berlin: Springer.
Piñero, E. P. 1962. “Expandable space framing.” Progressive Archit. 43 (6): 154–155.
Temmerman, N. D. 2007. “Design and analysis of deployable bar structures for mobile architectural applications.” Ph.D. thesis, Dept. of Architectural Engineering Sciences, Vrije Universiteit Brussel.
You, Z., and S. Pellegrino. 1997. “Foldable bar structures.” Int. J. Solids Struct. 34 (15): 1825–1847. https://doi.org/10.1016/S0020-7683(96)00125-4.
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© 2019 American Society of Civil Engineers.
History
Received: Nov 28, 2017
Accepted: Sep 12, 2018
Published online: Feb 13, 2019
Published in print: Jun 1, 2019
Discussion open until: Jul 13, 2019
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