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A Form-finding Technique for Three-dimensional Spatial Structures
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  • Journal title : Architectural research
  • Volume 15, Issue 4,  2013, pp.207-214
  • Publisher : Architectural Institute of Korea
  • DOI : 10.5659/AIKAR.2013.15.4.207
 Title & Authors
A Form-finding Technique for Three-dimensional Spatial Structures
Lee, Sang Jin;
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A form-finding technique is proposed for three-dimensional spatial structures. Two-step discrete finite element (FE) mesh generator based on computer aided geometric design (CAGD) is introduced and used to control the shape of three-dimensional spatial structures. Mathematical programming technique is adopted to search new forms (or shapes) of spatial structures. For this purpose, the strain energy is introduced as the objective function to be minimized and the initial volume (or the initial weight) is considered as constraint function. Numerical examples are carried out to test the capability of the proposed form-finding techniques and provided as benchmark tests.
From-finding;Spatial Structures;Design Optimization;Computer Aided Geometric Design;
 Cited by
Force-finding of Tensegrity Structure using Optimization Technique,;

Architectural research, 2015. vol.17. 1, pp.31-40 crossref(new window)
Force-finding of Tensegrity Structure using Optimization Technique, Architectural research, 2015, 17, 1, 31  crossref(new windwow)
Anand, V.B. (1993) Computer graphics and geometric modelling for engineers. John Wiley & Sons, New York.

Bletzinger, K.U. and Ramm, E. (1993) Form finiding of shells by structural optimization, Engineering with Computers, 9, 27-35. crossref(new window)

Bae, J.E. and Lee, S.J. (2011) A study on the shape control technique for force density method, Proceeding of Symposium of Architectural Institute of Korea, 31(2).

Coons, S.A. (1964) Surfaces for computer-aided design of space figures. Mech. Eng. Dept., MIT.

Culley, P. and Pascoe, J. (2005) Stadium engineering. Thomas Telford Ltd.

DOT design optimization tools user's manual (1999) Vanderplaats Research & Development, Inc.

Kim, J.S. and Lee, S.J. (2008) Structural design of free formed structure. Review of Architecture and Building Science, 52, 4, 48-54.

Lee, S.J. and Bae, J.E. (2006) Shell design optimization technique considering the appearance of close frequencies in optimization process, The Proceeding of Symposium of the Korean Society for Noise and Vibration Engineering.

Lee, S.J. and Kanok-Nuchulchai, W. (1998) A nine-node assumed strain finite element for large deformation analysis. International Journal for Numerical Methods in Engineering, 42, 777-798. crossref(new window)

Lee, S.J. (2000) Shape and thickness optimizations of prismatic shells using a simple sweep geometric model. Journal of Computational structural engineering institute of Korea, 13(2), 221-230.

Lee, S.J. and Hinton, E. (2000) Dangers inherited in shells optimized with linear assumptions. Computers and Structures, 78, 478-486.

Lee, S.J. (2010) Automatic FE mesh generation technique using computer aided geometric design for free-form discrete spatial structures. Journal of Korea Association for Spatial Structure, 10(2), 77-86.

Ohsaki, M. (2010) Optimization of finite dimensional structures, CRC Press.

Ramm, E. and Mehlhorn, G. (1991) On shape finding methods and ultimate load analyses of reinforced concrete shells. Engineering Structures, 13(2), 178-198. crossref(new window)

Ramm, E, Bletzinger, K.U. and Kimmich, S. (1991) Strategies in shape optimisation of free-form shells, in Festschrift Erwin Stein, Nonlinear computational mechanics - a state of the art, edited by P. Wriggers and W. Wagner, Berlin, Springer.

Rao, N.V.R. and Hinton, E. (1993) Structural optimization of variable thickness plates and free form shell structures, Structural Engineering Review, 5, 1-21.

Vanderplaats G. (1984) Numerical optimization techniques for engineering design. McGraw-Hill Book Company