Design of tensegrity structures using parametric analysis and stochastic search
- 379 Downloads
Tensegrity structures are lightweight structures composed of cables in tension and struts in compression. Since tensegrity systems exhibit geometrically nonlinear behavior, finding optimal structural designs is difficult. This paper focuses on the use of stochastic search for the design of tensegrity systems. A pedestrian bridge made of square hollow-rope tensegrity ring modules is studied. Two design methods are compared in this paper. Both methods aim to find the minimal cost solution. The first method approximates current practice in design offices. More specifically, parametric analysis that is similar to a gradient-based optimization is used to identify good designs. Parametric studies are executed for each system parameter in order to identify its influence on response. The second method uses a stochastic search strategy called probabilistic global search Lausanne. Both methods provide feasible configurations that meet civil engineering criteria of safety and serviceability. Parametric studies also help in defining search parameters such as appropriate penalty costs to enforce constraints while optimizing using stochastic search. Traditional design methods are useful to gain an understanding of structural behavior. However, due to the many local minima in the solution space, stochastic search strategies find better solutions than parametric studies.
KeywordsTensegrity Bridge Structural design Optimization Stochastic search
Authors would like to thank the Swiss National Science Foundation for supporting this work. They are also grateful to Prof. René Motro and his research team at LMGC (Université de Montpellier II). N. Bel Hadj Ali is thanked for discussion and advice.
- 1.Perlberg D (1977) Snelson and structure. Artforum Google Scholar
- 2.Pugh A (1976) An introduction to tensegrity. University of California Press, BerkeleyGoogle Scholar
- 3.Motro R (ed) (2005) Tenségrité. Hermes Science, ParisGoogle Scholar
- 4.Tibert AG, Pellegrino S (2003) Deployable tensegrity masts. 44th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and material conference and exhibit. Norfolk, VAGoogle Scholar
- 7.Fuller RB (1975) Synergetics: explorations in the geometry of thinking. Macmillan Publishing, New YorkGoogle Scholar
- 10.Arora JS, Elwakeil OA, Chahande AI, Hsieh CC (1995) Global optimization methods for engineering applications: a review. Struct Multidiscip Optim 9(3):137–159Google Scholar
- 17.Paul C, Lipson H, Cuevas FV (2005) Evolutionary form-finding of tensegrity structures. Genetic and evolutionary computation conference. Washington DC, pp 3–10Google Scholar
- 21.Motro R, Maurin B, Silvestri C (2006) Tensegrity rings and the hollow rope. IASS symposium 2006, new olympics, new shells and spatial structures. Beijing, pp 470–471Google Scholar
- 24.SIA (2003) Steel construction. Swiss Society of Engineers and Architects, ZurichGoogle Scholar
- 25.SIA (2003) Basis of structural design. Swiss Society of Engineers and Architects, ZurichGoogle Scholar
- 29.Adam B (2007) Adaptive civil engineering structures. Thesis no. 3750, EPFLGoogle Scholar