Case Studies of Irregular Anticlastic Membrane Structures with Asymmetry
Publication: Journal of Structural Engineering
Volume 144, Issue 8
Abstract
In previous studies, it was demonstrated that the geometry of regular anticlastic membrane structures attached to edge beams on all four sides of the membrane is one of the most influential factors for the performance of the structure. However, regular anticlastic membranes are not easy to apply at specific design sites. For this reason, a greater degree of irregularity is introduced in this study to create a wider range of design possibilities. From the regular-shaped fabric panels that are symmetric about the two axes, one of the symmetries is removed. In this way, two new parameters are introduced: asymmetry about the transverse axis creating trapezoid-shaped panels, and asymmetry about the longitudinal axis creating inclined panels. These two types of panel parametric studies are the scope of this work. From findings of case studies of irregular anticlastic membrane structures with asymmetry about one or both axes, design aid charts and design equations for trapezoid-shaped and inclined panels are proposed that would be needed at the preliminary design phase.
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Acknowledgments
The work presented in this paper was funded by a grant from the National Research Foundation of Korea (NRF) (No. 2015-001535 and 2017R1C1B5017487) and by the Institute of Construction and Environmental Engineering of Seoul National University. The views expressed are those of the authors, and do not necessarily represent those of the sponsors.
References
Ahmad, S. 1970. “Analysis of thick and thin shell structures by curved finite elements.” Int. J. Numer. Methods Eng. 2 (3): 419–451. https://doi.org/10.1002/nme.1620020310.
ASCE. 1997. Air-supported structures-standards. ASCE 17-96. Reston, VA: ASCE.
Barnes, M. R. 1999. “Form finding and analysis of tension structures by dynamic relaxation.” Int. J. Space Struct. 14 (2): 89–104. https://doi.org/10.1260/0266351991494722.
Belytschko, T., Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. 1996. “Meshless methods: An overview and recent developments.” Comput. Methods Appl. Mech. Eng. 139 (1–4): 3–47. https://doi.org/10.1016/S0045-7825(96)01078-X.
Benson, D. J., and J. O. Hallquist. 1990. “A single surface contact algorithm for the post-buckling analysis of shell structures.” Comput. Methods Appl. Mech. Eng. 78 (2): 141–163. https://doi.org/10.1016/0045-7825(90)90098-7.
Bradshaw, R., D. Campbell, M. Gargari, A. Mirmiran, and P. Tripeny. 2002. “Special structures: Past, present, and future.” J. Struct. Eng. 128 (6): 691–709. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:6(691).
Bridgens, B., and M. Birchall. 2012. “Form and function: The significance of material properties in the design of tensile fabric structures.” Eng. Struct. 44: 1–12. https://doi.org/10.1016/j.engstruct.2012.05.044.
Chilton, J. 2000. Space grid structures. Boston, MA: Architectural Press.
Condit, C. 1961. American building art: The twentieth century. New York: Oxford University Press.
Cook, R. D., D. S. Malkus, M. E. Plesha, and R. J. Witt. 2007. Concepts and applications of finite element analysis. Hoboken, NJ: Wiley.
Donea, J., S. Giuliani, and J. P. Halleux. 1982. “An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions.” Comput. Methods Appl. Mech. Eng. 33 (1–3): 689–723. https://doi.org/10.1016/0045-7825(82)90128-1.
Gil Pérez, M. 2015. “Nonlinear analysis and design of tensile membrane structures.” M.S. thesis, Dept. of Architecture and Architectural Engineering, Seoul National Univ.
Gil Pérez, M., T. H.-K. Kang, I. A. Sin, and S. D. Kim. 2016. “Nonlinear analysis and design of membrane fabric structures: Modeling procedure and case studies.” J. Struct. Eng. 142 (11): 05016001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001557.
Gil Pérez, M., S. D. Kim, and T. H.-K. Kang. 2017. “Development of design aid for barrel vault shaped membrane fabric structures.” J. Struct. Integr. Maintenance 2 (1): 12–21. https://doi.org/10.1080/24705314.2017.1280592.
Gosling, P. D., et al. 2013. “Analysis and design of membrane structures: Results of a round robin exercise.” Eng. Struct. 48: 313–328. https://doi.org/10.1016/j.engstruct.2012.10.008.
Heath, M. T. 2002. Scientific computing: An introductory survey. New York: McGraw-Hill.
Kang, T. H.-K., J. W. Wallace, and K. J. Elwood. 2009. “Nonlinear modeling of flat-plate structures.” J. Struct. Eng. 135 (2): 147–158. https://doi.org/10.1061/(ASCE)733-9445(2009)135%3A2(147).
Kim, N.-S., and S. D. Kim. 2009. “Comparison of nonlinear solutions between tangential stiffness equation and third order nonlinear equation on bifurcation load of space trusses,” In Proc., Int. Association for Shell and Spatial Structures 2009: Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures. Madrid, Spain: International Association for Shell and Spatial Structures.
Kim, S.-D., M.-M. Kang, T.-J. Kwun, and Y. Hangai. 1997. “Dynamic instability of shell-like shallow trusses considering damping.” Comput. Struct. 64 (1–4): 481–489. https://doi.org/10.1016/S0045-7949(96)00141-1.
Li, Q., X. Guo, Q. Qing, and J. Gong. 2015. “Dynamic deflection assessment of an air inflated membrane structure.” Thin Walled Struct. 94: 446–456. https://doi.org/10.1016/j.tws.2015.05.008.
Liszka, T., and J. Orkisz. 1980. “The finite difference method at arbitrary irregular grids and its application in applied mechanics.” Comput. Struct. 11 (1–2): 83–95. https://doi.org/10.1016/0045-7949(80)90149-2.
Maurin, B., and R. Motro. 1998. “The surface stress density method as a form-finding tool for tensile membranes.” Eng. Struct. 20 (8): 712–719. https://doi.org/10.1016/S0141-0296(97)00108-9.
Ossai, C. I. 2017. “Fitness-for-purpose evaluation of corroded pipelines using finite element analysis and fractural reliability estimation.” J. Struct. Integr. Maintenance 2 (4): 209–216. https://doi.org/10.1080/24705314.2017.1388671.
Perrone, N., and R. Kao. 1975. “A general finite difference method for arbitrary meshes.” Comput. Struct. 5 (1): 45–57. https://doi.org/10.1016/0045-7949(75)90018-8.
Schek, H.-J. 1974. “The force density method for form finding and computation of general networks.” Comput. Methods Appl. Mech. Eng. 3 (1): 115–134. https://doi.org/10.1016/0045-7825(74)90045-0.
Shon, S.-D., S.-D. Kim, and M.-M. Kang. 2002. “A study of unstable phenomenon of flow truss dome structure with asymmetric load modes.” [In Korean.] J. Korean Assoc. Shell Spatial Struct. 2 (4): 61–76.
Tabarrok, B., and Z. Qin. 1992. “Nonlinear analysis of tension structures.” Comput. Struct. 45 (5–6): 973–984. https://doi.org/10.1016/0045-7949(92)90056-6.
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Published In
Journal of Structural Engineering
Volume 144 • Issue 8 • August 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Mar 20, 2017
Accepted: Dec 21, 2017
Published online: May 19, 2018
Published in print: Aug 1, 2018
Discussion open until: Oct 19, 2018
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