Optimal design of truss structures with frequency constraints: a comparative study of DE, IDE, LSHADE, and CMAES algorithms View Full Text


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Article Info

DATE

2021-11-26

AUTHORS

H. Moosavian, P. Mesbahi, N. Moosavian, H. Daliri

ABSTRACT

The present study examines the performance of three powerful methods including the original differential evolution (DE), the improved differential evolution (IDE), and the winner of the CEC-2014 competition, LSHADE, in addition to the covariance matrix adaptation evolution strategy (CMAES) for size optimization of truss structures under natural frequency constraints. Despite the abundant researches on novel meta-heuristic algorithms in the literature, the application of CMAES, one of the most powerful and reliable optimization algorithms, on the optimal solution of the truss structures has received scant attention. For consistent comparison between these algorithms, four stopping criteria are defined and for each of these criteria, all algorithms are executed 30 times. Statistical analysis of the results for each algorithm is performed, and the mean, standard deviation, minimum, and maximum for 30 executions of the algorithms are calculated. For the small population size, results show that the CMAES algorithm not only has the best performance and the least standard deviation values among other given algorithms in all cases but also finds the best ever optimal solutions for the design of the benchmark truss structures which have not been reported in other studies. However, by increasing the number of decision variables and the population size, the CMAES algorithm needs more function evaluations to converge to the global optimal solution with higher accuracy. More... »

PAGES

1-19

References to SciGraph publications

  • 2018-11-27. Modified symbiotic organisms search for structural optimization in ENGINEERING WITH COMPUTERS
  • 2016-07-02. An improved differential evolution based on roulette wheel selection for shape and size optimization of truss structures with frequency constraints in NEURAL COMPUTING AND APPLICATIONS
  • 2018-12-08. Hypotrochoid spiral optimization approach for sizing and layout optimization of truss structures with multiple frequency constraints in ENGINEERING WITH COMPUTERS
  • 2011-09-27. Well placement optimization with the covariance matrix adaptation evolution strategy and meta-models in COMPUTATIONAL GEOSCIENCES
  • 2018-05-08. Topology optimization of truss subjected to static and dynamic constraints by integrating simulated annealing into passing vehicle search algorithms in ENGINEERING WITH COMPUTERS
  • 1997-12. Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces in JOURNAL OF GLOBAL OPTIMIZATION
  • 2010-12-24. Truss optimization on shape and sizing with frequency constraints based on parallel genetic algorithm in STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
  • 2004-11-17. Truss optimization on shape and sizing with frequency constraints based on genetic algorithm in COMPUTATIONAL MECHANICS
  • 1988-10. Genetic Algorithms and Machine Learning in MACHINE LEARNING
  • 2013-11-05. Shape and size optimization of trusses with multiple frequency constraints using harmony search and ray optimizer for enhancing the particle swarm optimization algorithm in ACTA MECHANICA
  • 2016-09-20. Vibrating particles system algorithm for truss optimization with multiple natural frequency constraints in ACTA MECHANICA
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    http://scigraph.springernature.com/pub.10.1007/s00366-021-01534-0

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    http://dx.doi.org/10.1007/s00366-021-01534-0

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