Journal of the Architectural Institute of Korea (대한건축학회논문집)

Architectural Institute of Korea (대한건축학회)
권호 표지
DOI QR코드

DOI QR Code

Size Optimization of Hemispherical Geodesic Dome

반구형 지오데식 돔의 크기최적화

  • Lee, Sang-Jin (Dept. of Architectural Engineering, Gyeongsang National University)
  • 이상진 (경상국립대학교 건축공학과)
  • Received : 2022.09.25
  • Accepted : 2022.10.26
  • Published : 2022.11.30
⟨ Previous Next ⟩

Abstract

This study proposes a size optimization procedure for geodesic dome. In particular, it aims to provide all the core process finding the optimal member size of a hemispherical geodesic dome. The present procedure includes four main steps, such as automatic generation of dome geometry, calculation of wind load distribution on the hemisphere, numerical analysis for calculation of structural responses, and optimization process. It is utilized by using the visual programming technique and the implementation is achieved in Grasshopper environment. Numerical examples are carried out to verify the capability of the proposed technique. From numerical results, the present method can effectively produce optimum member size distribution of the geodesic dome and it has great possibility and applicability to various dome structures.

Keywords

References

  1. da Silva, F. T. (2016). Parametric 3D wind loading on hemispheric dome structures, SIGraDi 2016, XX Congress of the Iberoamerican Society of Digital Graphics, Buenos Aires, Argentina, 231-237.
  2. Gaspar, O. (2021). Bauersfeld's concept for the subdivision of the first built geodesic dome structure, Proceedings of the IASS Annual Symposium 2020/21, Guilford, UK.
  3. Gregson, S. (2018). Nelder-Mead optimisation component in Grasshopper, Manual, Eckersley O'Callaghan.
  4. Grzywinski, M. (2018). Teaching-learning-based optimization algorithm for design of braced dome structure, Lightweight structures in civil engineeringcontemporaty problems-XXIV LSCE 2018, 57-60.
  5. Hasancebi, O., Erdal, F., & Saka, M. P. (2010). Optimum design of geodesic steel domes under code provisions using metaheuristic techniques, Int. J. of Engineering and Applied Sciences, 2(2), 88-103.
  6. Kaveh, A., & Rezaeib, M. (2016). Topology and geometry optimization of single-layer domes utilizing CBO and ECBO, Scientia Iranica A, 23(2), 535-547. https://doi.org/10.24200/sci.2016.2137
  7. Kaveh, A., & Talatahari, S. (2011). Geometry and topology optimization of geodesic domes using charged system search, Structural and Multidisciplinary Optimization, 43, 215-229. https://doi.org/10.1007/s00158-010-0566-y
  8. Kitrick, C.J. (1990). Unified Approach to Class I, II & III Geodesic Domes, Int. J. of space structures, 5(3 & 4), 223-246. https://doi.org/10.1177/026635119000500307
  9. Lan, C., Tu. X., Xue, J., Briseghella, B., & Zordan, T. (2018). Adaptive form-finding method for form-fixed spatial network structures, Int. J. of Advanced Structural Engineering, 10, 99-109. https://doi.org/10.1007/s40091-018-0179-z
  10. Lee, S.J., & Bae, J.E. (2008). A study on the structural optimization for geodesic dome, J. Korean Association of Spartial Structure, 8(4), 47-56.
  11. Lee, S.J. (2014). Finite element method with MATLAB, SJ Mirae.
  12. Ligaro, S.S., & Barsotti, R. (2013). Single-layer spherical geodesic domes interacting with a network of inflatable beams, Structural membranes 2013, 520-529.
  13. Montes, P., & Fernandez, A. (2001). Behaviour of a hemispherical dome subjected to wind loading, Journal of Wind Engineering and Industrial Aerodynamics, 89, 911-924. https://doi.org/10.1016/S0167-6105(01)00082-4
  14. Pakseresht, D., & Gholizadeh, S. (2021). Metaheristic-based sizing and topology optimization and reliablity assessment of single layter lattice domes, Int. J. Optim. Civil Eng., 11(1), 1-14.
  15. Preisinger, C. (2019). Karamba3D: User manual.
  16. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007). Downhill Simplex Method in Multidimensions, in Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press.
  17. Robert McNeel & Associates (2021). The Grasshopper primer, Mode Lab.
  18. Teranishi, M., An, S., & Ishikawa, K. (2019). Optimization of grid pattern of single-layer latticed dome, IASS Annual Symposium 2019, Barcelona, Spain.