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Mathematical Problems in Engineering
Volume 2015, Article ID 521482, 11 pages
http://dx.doi.org/10.1155/2015/521482
Research Article

Improved Genetic Algorithm with Two-Level Approximation for Truss Optimization by Using Discrete Shape Variables

School of Astronautics, Beihang University, XueYuan Road No. 37, HaiDian District, Beijing 100191, China

Received 25 September 2014; Revised 10 April 2015; Accepted 17 April 2015

Academic Editor: P. Beckers

Copyright © 2015 Shen-yan Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. Wei, T. Tang, X. Xie, and W. Shen, “Truss optimization on shape and sizing with frequency constraints based on parallel genetic algorithm,” Structural and Multidisciplinary Optimization, vol. 43, no. 5, pp. 665–682, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. D. Wang, W. H. Zhang, and J. S. Jiang, “Truss optimization on shape and sizing with frequency constraints,” AIAA Journal, vol. 42, no. 3, pp. 622–630, 2004. View at Publisher · View at Google Scholar · View at Scopus
  3. O. Sergeyev and Z. Mróz, “Sensitivity analysis and optimal design of 3D frame structures for stress and frequency constraints,” Computers and Structures, vol. 75, no. 2, pp. 167–185, 2000. View at Publisher · View at Google Scholar · View at Scopus
  4. R. Su, X. Wang, L. Gui, and Z. Fan, “Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy,” Structural and Multidisciplinary Optimization, vol. 43, no. 2, pp. 275–286, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. D. Li, S. Chen, and H. Huang, “Improved genetic algorithm with two-level approximation for truss topology optimization,” Structural and Multidisciplinary Optimization, vol. 49, no. 5, pp. 795–814, 2014. View at Publisher · View at Google Scholar · View at Scopus
  6. S. D. Rajan, “Sizing, shape, and topology design optimization of trusses using genetic algorithm,” Journal of Structural Engineering, vol. 121, no. 10, pp. 1480–1487, 1995. View at Publisher · View at Google Scholar · View at Scopus
  7. R. J. Balling, R. R. Briggs, and K. Gillman, “Multiple optimum size/shape/topology designs for skeletal structures using a genetic algorithm,” Journal of Structural Engineering, vol. 132, no. 7, Article ID 015607QST, pp. 1158–1165, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. P. Hajela and E. Lee, “Genetic algorithms in truss topological optimization,” International Journal of Solids and Structures, vol. 32, no. 22, pp. 3341–3357, 1995. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Kawamura, H. Ohmori, and N. Kito, “Truss topology optimization by a modified genetic algorithm,” Structural and Multidisciplinary Optimization, vol. 23, no. 6, pp. 467–472, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. W. Tang, L. Tong, and Y. Gu, “Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables,” International Journal for Numerical Methods in Engineering, vol. 62, no. 13, pp. 1737–1762, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  11. K. Sawada, A. Matsuo, and H. Shimizu, “Randomized line search techniques in combined GA for discrete sizing optimization of truss structures,” Structural and Multidisciplinary Optimization, vol. 44, no. 3, pp. 337–350, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Dong and H. Huang, “Truss topology optimization by using multi-point approximation and GA,” Chinese Journal of Computational Mechanics, vol. 21, no. 6, pp. 746–751, 2004. View at Google Scholar · View at Scopus
  13. Z. Zhang, W. Yao, and L. Zhou, “Study on size and shape collaborative optimization mehtod of truss strucure,” Advances in Aeronautical Science and Engineering, vol. 3, no. 2, pp. 138–143, 2012. View at Google Scholar