Geometry and topology optimization of geodesic domes using charged system search

Dome structures provide cost-effective solutions for covering large areas without intermediate supports. In this article, simple procedures are developed to reach the configuration of the geodesic domes. A new definition of dome optimization problems is given which consists of finding optimal sections for elements (size optimization), optimal height for the crown (geometry optimization) and the optimum number of elements (topology optimization) under determined loading conditions. In order to find the optimum design, the recently developed meta-heuristic algorithm, known as the Charged System Search (CSS), is applied to the optimum design of geodesic domes. The CSS takes into account the nonlinear response of the domes. Using CSS, the optimum design of the geodesic domes is efficiently performed.

[1]  U. Kirsch,et al.  REDUCTION AND EXPANSION PROCESSES IN TOPOLOGY OPTIMIZATION , 1997 .

[2]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[3]  Siamak Talatahari,et al.  Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures , 2009 .

[4]  Murty K. S. Madugula,et al.  Stability Functions for Three‐Dimensional Beam‐Columns , 1989 .

[5]  Saeed Shojaee,et al.  Structural topology optimization using ant colony methodology , 2008 .

[6]  Luciano Lamberti,et al.  An efficient simulated annealing algorithm for design optimization of truss structures , 2008 .

[7]  George I. N. Rozvany,et al.  A critical review of established methods of structural topology optimization , 2009 .

[8]  G. Rozvany Exact analytical solutions for some popular benchmark problems in topology optimization , 1998 .

[9]  Siamak Talatahari,et al.  Ant Colony Optimization for Design of Space Trusses , 2008 .

[10]  Paolo Venini,et al.  On some applications of ant colony optimization metaheuristic to plane truss optimization , 2006 .

[11]  Siamak Talatahari,et al.  Optimal design of skeletal structures via the charged system search algorithm , 2010 .

[12]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[13]  B. H. V. Topping,et al.  Shape Optimization of Skeletal Structures: A Review , 1983 .

[14]  O. Hasançebi,et al.  Layout optimization of trusses using simulated annealing , 2000 .

[15]  G. Rozvany Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics , 2001 .

[16]  Fuat Erbatur,et al.  Layout optimisation of trusses using simulated annealing , 2002 .

[17]  G. Rozvany Topology optimization in structural mechanics , 2001 .

[18]  A. Kaveh,et al.  A novel heuristic optimization method: charged system search , 2010 .

[19]  Siamak Talatahari,et al.  A particle swarm ant colony optimization for truss structures with discrete variables , 2009 .

[20]  Uri Kirsch,et al.  Optimal Topologies of Structures , 1989 .

[21]  Charles V. Camp,et al.  Design of Space Trusses Using Ant Colony Optimization , 2004 .

[22]  Shahram Pezeshk,et al.  Optimized Design of Two-Dimensional Structures Using a Genetic Algorithm , 1998 .

[23]  Krister Svanberg,et al.  A hierarchical neighbourhood search method for topology optimization , 2004 .

[24]  Siamak Talatahari,et al.  Optimal design of Schwedler and ribbed domes via hybrid Big Bang–Big Crunch algorithm , 2010 .

[25]  S. Rajeev,et al.  Discrete Optimization of Structures Using Genetic Algorithms , 1992 .

[26]  Z. S. Makowski Space structures: a review of the developments within the last decade. , 1993 .

[27]  P. Fourie,et al.  The particle swarm optimization algorithm in size and shape optimization , 2002 .

[28]  Siamak Talatahari,et al.  An improved ant colony optimization for the design of planar steel frames , 2010 .

[29]  Xiaoming Wang,et al.  Structural shape and topology optimization in a level-set-based framework of region representation , 2004 .

[30]  Kamran Behdinan,et al.  Particle swarm approach for structural design optimization , 2007 .

[31]  Krister Svanberg,et al.  Topology optimization by a neighbourhood search method based on efficient sensitivity calculations , 2006 .

[32]  Osvaldo M. Querin,et al.  Growth method for size, topology, and geometry optimization of truss structures , 2006 .

[33]  Mehmet Polat Saka,et al.  Optimum Geometry Design of Geodesic Domes Using Harmony Search Algorithm , 2007 .

[34]  A. Kaveh,et al.  Size optimization of space trusses using Big Bang-Big Crunch algorithm , 2009 .

[35]  Anoop K. Dhingra,et al.  TOPOLOGICAL OPTIMIZATION OF TRUSS STRUCTURES USING SIMULATED ANNEALING , 1995 .

[36]  Z. S. Makowski,et al.  Analysis, design, and construction of braced domes , 1984 .

[37]  Y. Xie,et al.  Evolutionary topology optimization of continuum structures with an additional displacement constraint , 2009 .

[38]  A. Kaveh,et al.  Sizing, geometry and topology optimization of trusses via force method and genetic algorithm , 2008 .

[39]  George I. N. Rozvany,et al.  Layout Optimization of Structures , 1995 .

[40]  Saeed Shojaee,et al.  Optimal design of skeletal structures using ant colony optimization , 2007 .