Parametric definition of Transformable Reciprocal Frame Structures with three-bars Nodes
DOI:
https://doi.org/10.3989/ic.86227Keywords:
reciprocal frame structures, transformable geometries, spatial structures, parametric calculation, computational toolAbstract
This article researches the determination of the equilibrium conditions of Variable Geometry Surfaces defined by Reciprocal Frame Structures by means of a study of the acting force field and the locus that describe the elements of these structures through the different states of transformation. It is established, through the development of a mathematic-parametric formulation, geometric and structural properties of an equal cylindrical three-bar Reciprocal Frame Node, with the objective of deducing the balance mechanism for obtaining the stabilization systems of Variable Geometry Surfaces made up of Transformable Reciprocal Frame Structures. The aim of this research is the application of the said stabilization system by means of a newly created structural-geometric software, to the design and calculation of different transformable geometry typologies of architectural surfaces
Downloads
References
(1) Baverel, O., & Larsen, O. P. (2011). A review of woven structures with focus on reciprocal systems - Nexorades. International Journal of Space Structures, 26(4), 281-288. https://doi.org/10.1260/0266-3511.26.4.281
(2) Brocato, M. (2011). Reciprocal Frames: Kinematical Determinacy and Limit Analysis. International Journal of Space Structures, 26(4), 343-358. https://doi.org/10.1260/0266-3511.26.4.343
(3) Kohlhammer, T., & Kotnik, T. (2011). Systemic behaviour of plane reciprocal frame structures. Structural Engineering International, 21(1), 80-86. https://doi.org/10.2749/101686611X12910257102596
(4) Larsen, O. P. (2008). Reciprocal Frame Architecture. Oxford: Architecture Press, Elsevier.
(5) Pugnale, A., & Sassone, M. (2014). Structural Reciprocity: Critical Overview and Promising Research/Design Issues. Nexus Network Journal, 16, 9-35. https://doi.org/10.1007/s00004-014-0174-z
(6) Parigi, D., & Kirkegaard, P. H. (2014). Design and fabricarion of free-form reciprocal structures. Nexus Network Journal, 16(1), 69-87. https://doi.org/10.1007/s00004-014-0177-9
(7) Goto, K., Kidokoro, R., & Matsuo, T. (2011). Rokko mountain observatory. The Arup Journal, 46(2), 20-26.
(8) Kohlhammer, T., Apolinarska, A. A., Gramazio, F., & Kohler, M. (2017). Design and structural analysis of complex timber structures with glued T-joint connections for robotic assembly. International Journal of Space Structures, 32(3-4), 199-215. https://doi.org/10.1177/0266351117746268
(9) McQuaid, M. (2002). Shigeru Ban. Londres: Phaidon Press.
(10) Sánchez, J., Escrig, F., & Rodríguez, M. T. (2010). Una aproximación analítica a las mallas recíprocas diseñadas por Leonardo. Informes de la Construcción, 62(518), 5-14. https://doi.org/10.3989/ic.09.032
(11) Sénéchal, B., Douthe, C., & Baverel, O. (2011). Analytical investigation on elementary nexorades. International Journal of Space Structures, 26(4), 313-320. https://doi.org/10.1260/0266-3511.26.4.313
(12) Rizzuto, J. P., & Hulse, R. (2007). Dodecahedric Mutually supported element space structure: experimental investigation. International Journal of Space Structures, 22(2), 107-121. https://doi.org/10.1260/026635107781482640
(13) Gherardini, F. & Leali, F., (2017). Reciprocal frames in temporary structures: an aesthetically and parametric investigation. Nexus Network Journal, 19, 741-762. https://doi.org/10.1007/s00004-017-0352-x
(14) Baverel, O. (2000). Nexorades: a family of interwoven spaces structures. Ph.D. thesis University of Surrey. https://doi.org/10.1260/0266351001495053
(15) Baverel, O., & Nooshin, H. (2004). Configuration processing of nexorades using genetic algorithms. Journal of the International Association for Shell and Spatial Structures, 45(2), 99-108.
(16) Song, P., Fu, C.-W., Goswami, P., Zheng, J., Mitra, N. J., & Cohen-Or, D. (2013). Reciprocal frame structures made easy. ACM Transactions on Graphics (TOG), 32(4). https://doi.org/10.1145/2461912.2461915
(17) Douthe, C., & Baverel, O. (2009). Design of nexorades or reciprocal frame systems with the dynamic relaxation method. Computers & Structures, 87(21-22), 1296-1307. https://doi.org/10.1016/j.compstruc.2009.06.011
(18) Wallis, J. (1972). Opera Mathematica (Vol. 1). Theatro Sheldoniano.
(19) Dean, D. L. (1997). One-dimensional circular arrays of Lamella Beams. Journal of the International Association for Shell and Spatial Structures, 38(1), 19-21.
(20) Gelez, S., Aubry, S., & Vaudeville, B. (2011). Behaviour of a simple nexorade or reciprocal frame system. International Journal of Space Structures, 26(4), 331-342. https://doi.org/10.1260/0266-3511.26.4.331
(21) Sánchez, J., & Escrig, F. (2011). Frames designed by leonardo with short pieces. An analytical approach. International Journal of Space Structures, 26(4), 289-302. https://doi.org/10.1260/0266-3511.26.4.289
(22) Garavaglia, E., Pizzigoni, A., Sgambi, L., & Basso, N. (2013). Collapse behaviour in reciprocal frame structures. Structural Engineering and Mechanics, 46(4), 533-547. https://doi.org/10.12989/sem.2013.46.4.533
(23) Greco, L., Lebée, A., & Douthe, C. (2013). Investigation of the elastic behaviour of reciprocal systems using homogenization techniques. Proceedings of IASS Annual Symposia: IASS 2013 Beyond the Limits of Man, (págs. 1-8). Wroclaw.
(24) Chilton J.C., Choo B.S. & Wilkinson D., (1998) A Parametric analysis of the geometry of retractable reciprocal frame structures. Lightweight Structures In Architecture, Engineering And Construction, 1, Sydney, 547-555.
(25) Parigi, D., Sassone, M., Kirkegaard, P. H., & Napoli, P. (2014). Static and kinematic formulation of planar reciprocal assemblies. Nexus Network Journal, 16(1), 37-59. https://doi.org/10.1007/s00004-014-0175-y
(26) Pellegrino, S., & Calladine, C.R. (1986). Matrix analysis of statically and kinematically indeterminate frameworks. International Journal of Solids and Structures 22: 409-428. https://doi.org/10.1016/0020-7683(86)90014-4
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Consejo Superior de Investigaciones Científicas (CSIC)
This work is licensed under a Creative Commons Attribution 4.0 International License.
© CSIC. Manuscripts published in both the print and online versions of this journal are the property of the Consejo Superior de Investigaciones Científicas, and quoting this source is a requirement for any partial or full reproduction.
All contents of this electronic edition, except where otherwise noted, are distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) licence. You may read the basic information and the legal text of the licence. The indication of the CC BY 4.0 licence must be expressly stated in this way when necessary.
Self-archiving in repositories, personal webpages or similar, of any version other than the final version of the work produced by the publisher, is not allowed.
