Computers and Concrete

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Modern computer simulation for the design of concrete catenary shell structures

  • Lee, Joo Hong (Department of Architecture & Architectural Engineering, Seoul National University) ;
  • Lee, Hyerin (Department of Disaster Prevention Engineering, Chungbuk National University) ;
  • Kang, Thomas H.K. (Department of Architecture & Architectural Engineering, Seoul National University)
  • Received : 2017.12.20
  • Accepted : 2018.02.09
  • Published : 2018.06.25
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Abstract

The purpose of this study was to model and design a concrete catenary shell using a modern computer program without performing experiments. The modeling idea stems from the study by Pendergrast, but he listed supplementary items that should be improved in his paper. This study aims to resolve those issues and overcome the drawbacks of the study by Pendergrast. The process of experiment for the design of a catenary shell was reproduced by Grasshopper script. In order to ensure credibility, two models designed from the Grasshopper script were analyzed using a finite element program, SAP2000; one is a square-based catenary shell and the other is a special catenary shell called as the Naturtheater $Gr{\ddot{o}}tzingen$ shell, which was completed in 1977. First, the developed modeling approach was proved to be reasonable from the analysis of the square-based shell. The reliability was further confirmed by a comparison between the current and previous analysis results for the Naturtheater $Gr{\ddot{o}}tzingen$ shell.

Keywords

Acknowledgement

Supported by : Seoul National University

References

  1. Abell, M. (2012), Import DXF into SAP2000, Retrieved from CSi Knowledge Base website: https://wiki.csiamerica.com/display/sap2000/Import+DXF+into+SAP2000, accessed on December 20, 2017.
  2. Bhattacharjya, S., Chakraborti, S. and Dasb, S. (2015), "Robust optimization of reinforced concrete folded plate and shell roof structure incorporating parameter uncertainty", Struct. Eng. Mech., 56(5), 707-726. https://doi.org/10.12989/sem.2015.56.5.707
  3. Cao, H., Zhou, Y.L., Chen, Z. and Wahab, M.A. (2017), "Form-finding analysis of suspension bridges using an explicit iterative approach", Struct. Eng. Mech., 62(1), 85-95. https://doi.org/10.12989/sem.2017.62.1.085
  4. Chilton, J. (2011), "Heinz Isler: shells for two churches", J. Int. Assoc. Shell Spat. Struct., 52(3), 173-183
  5. Davidson, S. (2015), Grasshopper-Algorithmic Modeling for Rhino, Retrieved from Grasshopper website: http://www.grasshopper3d.com, accessed on December 20, 2017.
  6. Gil Perez, M., Kang, T.H.K., Sin, I. and Kim, S. (2016), "Nonlinear analysis and design of membrane fabric structures: modeling procedure and case studies", ASCE J. Struct. Eng., 142(11), 05016001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001557
  7. Gil Perez, M., Kim, S. and Kang, T.H.K. (2017), "Development of design aid for barrel vault shaped membrane fabric structures", J. Struct. Integ. Mainten., 2(1), 12-21. https://doi.org/10.1080/24705314.2017.1280592
  8. Gu, M. and Huang, Y. (2015), "Equivalent static wind loads for stability design of large span roof structures", Wind Struct., 20(1), 95-115. https://doi.org/10.12989/was.2015.20.1.095
  9. Isler, H. (1961), "New shapes for shells", Bulletin of the International Association for Shell Structures, No. 8, Paper C-3.
  10. Labbafi, S.F., Reza Sarafrazi, S. and Kang, T.H.K. (2017a), "Comparison of viscous and kinetic dynamic relaxation methods in form-finding of membrane structures", Adv. Comput. Des., 2(1), 71-87. https://doi.org/10.12989/ACD.2017.2.1.071
  11. Labbafi, S.F., Reza Sarafrazi, S., Gholami, H. and Kang, T.H.K. (2017b), "A novel approach to the form-finding of membrane structures using dynamic relaxation method", Adv. Comput. Des., 2(3), 89-106.
  12. Maurer, T., O'Grady, E. and Tung, E. (2013), "Inverse hanging membrane: The naturtheater grotzingen, evolution of german shells: Efficiency in form", Retrieved from Princeton University website: http://shells.princeton.edu/Grotz.html, accessed on December 20, 2017.
  13. Pendergrast, R.A. (2010), "Thin shell structure design tool", Ph.D. Dissertation, Rensselaer Polytechnic Institute, Troy, NY, USA.
  14. Piacentino, G. (2009), Weaverbird-Topological Mesh Editor, Retrieved from WeaverBird website: http://www.giuliopiacentino.com/weaverbird, accessed on December 20, 2017.
  15. Piker, D. (2010), Project Kangaroo - Live 3D Physics for Rhino/Grasshopper, Retrieved from http://spacesymmetrystructure.wordpress.com/2010/01/21/kangaroo, accessed on December 20, 2017.
  16. Piker, D. (2012), Kangaroo Manual, Retrieved from Google Docs: http://docs.google.com/document/d/1XtW7r7tfC9duICi7XyI9wmPkGQUPIm_8sj7bqMvTXs, accessed on December 20, 2017.
  17. SAP2000 (2015), Shell-Technical Knowledge Base, Retried from CSi Knowledge Base website: http://wiki.csiamerica.com/display/kb/Shell, accessed on December 20, 2017.
  18. Wikipedia (2017), Heinz Isler, Retrieved from Wikipedia website: http://en.wikipedia.org/wiki/Heinz_Isler, accessed on December 20, 2017.
  19. Xu, R., Li, D., Liu, W., Jiang, J., Liao, Y. and Wang, J. (2015), "Modified nonlinear force density method for form-finding of membrane SAR antenna", Struct. Eng. Mech., 54(6), 1045-1059. https://doi.org/10.12989/sem.2015.54.6.1045
  20. Yang, K.H., Mun, J.H., Cho, M.S. and Kang, T.H.K. (2014), "Stress-strain model for various unconfined concretes in compression", ACI Struct. J., 111(4), 819-826.