An Efficient Hybrid Algorithm for Optimization of Discrete Structures

  • Authors:
  • Amitay Isaacs;Tapabrata Ray;Warren Smith

  • Affiliations:
  • School of Aerospace, Civil and Mechanical Engineering, University of New South Wales, Australian Defence Force Academy, Canberra, Australia ACT 2600;School of Aerospace, Civil and Mechanical Engineering, University of New South Wales, Australian Defence Force Academy, Canberra, Australia ACT 2600;School of Aerospace, Civil and Mechanical Engineering, University of New South Wales, Australian Defence Force Academy, Canberra, Australia ACT 2600

  • Venue:
  • SEAL '08 Proceedings of the 7th International Conference on Simulated Evolution and Learning
  • Year:
  • 2008

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Abstract

Presented in this paper is a hybrid algorithm for the design of discrete structures like trusses. The proposed algorithm called Discrete Structures Optimization (DSO) is based on the Evolutionary Structural Optimization (ESO) [1,2]. In DSO, material is removed from the structural elements based on the strain energy. DSO is a two stage process. First stage is the topology optimization where the elements of the structure with the least amount of strain energy are identified and eliminated. The second stage is the sizing optimization of the structure with optimum topology identified in first stage. For the continuous design variables a gradient based method is used and for the discrete design variables a genetic algorithm is used. The algorithm is tested on 2-D and 3-D discrete structures. DSO results show significant reduction in the number of finite element analysis (FEA) evaluations as compared to genetic algorithms using simultaneous topology and sizing optimization.