Simultaneous topology, shape and size optimization of truss structures by fully stressed design based on evolution strategy

The most effective scheme of truss optimization considers the combined effect of topology, shape and size (TSS); however, most available studies on truss optimization by metaheuristics concentrated on one or two of the above aspects. The presence of diverse design variables and constraints in TSS optimization may account for such limited applicability of metaheuristics to this field. In this article, a recently proposed algorithm for simultaneous shape and size optimization, fully stressed design based on evolution strategy (FSD-ES), is enhanced to handle TSS optimization problems. FSD-ES combines advantages of the well-known deterministic approach of fully stressed design with potential global search of the state-of-the-art evolution strategy. A comparison of results demonstrates that the proposed optimizer reaches the same or similar solutions faster and/or is able to find lighter designs than those previously reported in the literature. Moreover, the proposed variant of FSD-ES requires no user-based tuning effort, which is desired in a practical application. The proposed methodology has been tested on a number of problems and is now ready to be applied to more complex TSS problems.

[1]  Ali Ahrari,et al.  Fully Stressed Design Evolution Strategy for Shape and Size Optimization of Truss Structures , 2013 .

[2]  Raymond Ros,et al.  Real-Parameter Black-Box Optimization Benchmarking 2009: Experimental Setup , 2009 .

[3]  Nikolaus Hansen,et al.  Benchmarking a BI-population CMA-ES on the BBOB-2009 function testbed , 2009, GECCO '09.

[4]  Ali Kaveh,et al.  A HYBRID MODIFIED GENETIC-NELDER MEAD SIMPLEX ALGORITHM FOR LARGE-SCALE TRUSS OPTIMIZATION , 2011 .

[5]  Fan Zijie,et al.  Truss Topology Optimization Using Genetic Algorithm with Individual Identification Technique , 2009 .

[6]  Ali Haydar Kayhan,et al.  Hybridizing the harmony search algorithm with a spreadsheet ‘Solver’ for solving continuous engineering optimization problems , 2009 .

[7]  M. Papadrakakis,et al.  Advanced solution methods in structural optimization based on evolution strategies , 1998 .

[8]  K. Deb,et al.  Design of truss-structures for minimum weight using genetic algorithms , 2001 .

[9]  Guan-Chun Luh,et al.  Optimal design of truss structures using ant algorithm , 2008 .

[10]  Q. H. Wu,et al.  A heuristic particle swarm optimizer for optimization of pin connected structures , 2007 .

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

[12]  Raymond Ros,et al.  A Simple Modification in CMA-ES Achieving Linear Time and Space Complexity , 2008, PPSN.

[13]  O. Hasançebi,et al.  Adaptive evolution strategies in structural optimization: Enhancing their computational performance with applications to large-scale structures , 2008 .

[14]  Ting-Yu Chen,et al.  An efficient and practical approach to obtain a better optimum solution for structural optimization , 2013 .

[15]  Y. Xie,et al.  Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method , 2007 .

[16]  Ali Kaveh,et al.  Ray optimization for size and shape optimization of truss structures , 2013 .

[17]  O. Hasançebi,et al.  On efficient use of simulated annealing in complex structural optimization problems , 2002 .

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

[19]  Subramaniam Rajan,et al.  Sizing, Shape, and Topology Design Optimization of Trusses Using Genetic Algorithm , 1995 .

[20]  Francisco Herrera,et al.  A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC’2005 Special Session on Real Parameter Optimization , 2009, J. Heuristics.

[21]  Shih-Lin Hung,et al.  Enhancing particle swarm optimization algorithm using two new strategies for optimizing design of truss structures , 2013 .

[22]  Anne Auger,et al.  Comparing results of 31 algorithms from the black-box optimization benchmarking BBOB-2009 , 2010, GECCO '10.

[23]  Jonathan Cagan,et al.  The design of novel roof trusses with shape annealing: assessing the ability of a computational method in aiding structural designers with varying design intent , 1999 .

[24]  M. P. Saka Optimum Design of Skeletal Structures: A Review , 2003 .

[25]  Thomas Bäck,et al.  Evolutionary computation: comments on the history and current state , 1997, IEEE Trans. Evol. Comput..

[26]  Ayse T. Daloglu,et al.  An improved genetic algorithm with initial population strategy and self-adaptive member grouping , 2008 .

[27]  Zong Woo Geem,et al.  DISCRETE SIZE AND DISCRETE-CONTINUOUS CONFIGURATION OPTIMIZATION METHODS FOR TRUSS STRUCTURES USING THE HARMONY SEARCH ALGORITHM , 2011 .

[28]  Solomon Tesfamariam,et al.  A survey of non-gradient optimization methods in structural engineering , 2013, Adv. Eng. Softw..

[29]  Sujin Bureerat,et al.  Technical Note: Simultaneous topology, shape and sizing optimisation of a three-dimensional slender truss tower using multiobjective evolutionary algorithms , 2011 .

[30]  Guan-Chun Luh,et al.  Optimal design of truss-structures using particle swarm optimization , 2011 .

[31]  Simon M. Lucas,et al.  Parallel Problem Solving from Nature - PPSN X, 10th International Conference Dortmund, Germany, September 13-17, 2008, Proceedings , 2008, PPSN.

[32]  Bernhard Sendhoff,et al.  Covariance Matrix Adaptation Revisited - The CMSA Evolution Strategy - , 2008, PPSN.

[33]  Leandro Fleck Fadel Miguel,et al.  Multimodal size, shape, and topology optimisation of truss structures using the Firefly algorithm , 2013, Adv. Eng. Softw..

[34]  K. Lee,et al.  The harmony search heuristic algorithm for discrete structural optimization , 2005 .

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

[36]  Xu Wang,et al.  Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy , 2011 .

[37]  Leandro Fleck Fadel Miguel,et al.  Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms , 2012, Expert Syst. Appl..

[38]  Ian F. C. Smith,et al.  Improving Full-Scale Transmission Tower Design through Topology and Shape Optimization , 2006 .

[39]  Oliver Kramer,et al.  Evolutionary self-adaptation: a survey of operators and strategy parameters , 2010, Evol. Intell..

[40]  Hans-Paul Schwefel,et al.  Evolution strategies – A comprehensive introduction , 2002, Natural Computing.

[41]  G. Reddy,et al.  Optimally Directed Truss Topology Generation Using Shape Annealing , 1995 .

[42]  Max Hultman,et al.  Weight optimization of steel trusses by a genetic algorithm - size, shape and topology optimization according to Eurocode , 2010 .

[43]  A. Kaveh,et al.  An enhanced charged system search for configuration optimization using the concept of fields of forces , 2011 .

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

[45]  M. Papadrakakis,et al.  Structural optimization using evolutionary algorithms , 2002 .

[46]  O. Hasançebi,et al.  Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures , 2009 .

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

[48]  Ismail Farajpour A coordinate descent based method for geometry optimization of trusses , 2011, Adv. Eng. Softw..

[49]  G. Thierauf,et al.  Parallelization of the Evolution Strategy for Discrete Structural Optimization Problems , 1998 .

[50]  O. Hasançebi,et al.  Optimization of truss bridges within a specified design domain using evolution strategies , 2007 .

[51]  Carmine Pappalettere,et al.  Metaheuristic Design Optimization of Skeletal Structures: A Review , 2010 .

[52]  Mustafa Sonmez,et al.  Artificial Bee Colony algorithm for optimization of truss structures , 2011, Appl. Soft Comput..

[53]  S. O. Degertekin Improved harmony search algorithms for sizing optimization of truss structures , 2012 .

[54]  Liyong Tong,et al.  Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables , 2005 .

[55]  Nikolaus Hansen,et al.  A restart CMA evolution strategy with increasing population size , 2005, 2005 IEEE Congress on Evolutionary Computation.

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

[57]  Carsten Ebenau,et al.  An advanced evolutionary strategy with an adaptive penalty function for mixed-discrete structural optimisation , 2005, Adv. Eng. Softw..

[58]  Saeed Gholizadeh,et al.  Layout optimization of truss structures by hybridizing cellular automata and particle swarm optimization , 2013 .

[59]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

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

[61]  Siamak Talatahari,et al.  Chaotic imperialist competitive algorithm for optimum design of truss structures , 2012 .

[62]  Chun-Yin Wu,et al.  Truss structure optimization using adaptive multi-population differential evolution , 2010 .