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Original Articles

A new method of discrete optimization for cross-section selection of truss structures

, &
Pages 1052-1073 | Received 30 Jul 2012, Accepted 17 Jun 2013, Published online: 04 Oct 2013

References

  • Arora, J. S., M. W. Huang, and C. C. Hsieh. 1994. “Methods for Optimization of Nonlinear Problems with Discrete Variables: A Review.” Structural and Multidisciplinary Optimization 8 (2): 69–85.
  • Bruyneel, M. 2011. “SFP—A New Parameterization Based on Shape Functions for Optimal Material Selection: Application to Conventional Composite Plies.” Structural and Multidisciplinary Optimization 43: 17–27.
  • Cai, J., and G. Thiereuf. 1993a. “Discrete Optimization of Structures Using an Improved Penalty Function Method.” Engineering Optimization 21 (4): 293–306.
  • Cai, J., and G. Thiereuf. 1993b. “Discrete Structural Optimization Using Evolution Strategies.” In Neural Networks and Combinatorial Optimization in Civil and Structural Engineering, 95–100. Edinburgh: Civil-Comp.
  • Camp, C., and B. J. Bichon. 2004. “Design of Space Trusses Using Ant Colony Optimization.” Journal of Structural Engineering 130 (5): 741–751.
  • Camp, C., S. Pezeshk, and G. Cao. 1998. “Optimized Design of Two-Dimensional Structures Using a Genetic Algorithm.” Journal of Structural Engineering 124 (5): 551–559.
  • Coello, C. A. C. 1994. “Discrete Optimization of Trusses Using Genetic Algorithms.” In EXPERSYS-94, Expert Systems Applications and Artificial Intelligence, 331–336. Houston: IITT International.
  • Dede, T., S. Bekiroğlu, and Y. Ayvaz. 2011. “Weight Minimization of Trusses with Genetic Algorithm.” Applied Soft Computing 11 (2): 2565–2575.
  • Erbatur, F., O. Hasançebi, İ. Tütüncü, and H. Kılıç. 2000. “Optimal Design of Planar and Space Structures with Genetic Algorithms.” Computers and Structures 75 (2): 209–224.
  • Galante, M. 1996. “Genetic Algorithms as an Approach to Optimize Real-World Trusses.” International Journal for Numerical Methods in Engineering 39: 361–382.
  • Gao, T., W. H. Zhang, and P. Duysinx. 2012. “A Bi-Value Coding Parameterization Scheme for the Discrete Optimal Orientation Design of the Composite Laminate.” International Journal for Numerical Methods in Engineering 91 (1): 98–114.
  • Ghasemi, M. R., E. Hinton, and R. D. Wood. 1999. “Optimization of Trusses Using Genetic Algorithms for Discrete and Continuous Variables.” Engineering Computations: International Journal for Computer-Aided Engineering 16 (3): 272–303.
  • Hadidi, A., S. Kazemzadeh Azad, and S. Kazemzadeh Azad. 2010. “Structural Optimization Using Artificial Bee Colony Algorithm.” In Second International Conference on Engineering Optimization (EngOpt), 6–9 September, Lisbon, Portugal.
  • He, S., Q. H. Wu, J. Y. Wen, J. R. Saunders, and R. C. Paton. 2004. “A Particle Swarm Optimizer with Passive Congregation.” Biosystems 78 (1–3): 135–147.
  • Hvejsel, C. F., and E. Lund. 2011. “Material Interpolation Schemes for Unified Topology and Multi-Material Optimization.” Structural and Multidisciplinary Optimization 43: 811–825.
  • Isaacs, A., T. Ray, and W. Smith. 2008. “An Efficient Hybrid Algorithm for Optimization of Discrete Structures.” Simulated Evolution and Learning 5361: 625–634.
  • Kaveh, A., and S. Talatahari. 2008. “A Hybrid Particle Swarm and Ant Colony Optimization for Design of Truss Structures.” Asian Journal of Civil Engineering (Building and Housing) 9 (4): 329–348.
  • Kaveh, A., and S. Talatahari. 2009. “A Particle Swarm Ant Colony Optimization for Truss Structures with Discrete Variables.” Journal of Constructional Steel Research 65 (8): 1558–1568.
  • Kripka, M. 2004. “Discrete Optimization of Trusses by Simulated Annealing.” Journal of the Brazilian Society of Mechanical Sciences and Engineering 26 (2): 1678–5878.
  • Lee, K. S., and Z. W. Geem. 2004. “A New Structural Optimization Method Based on the Harmony Search Algorithm.” Computers and Structures 82 (9): 781–798.
  • Lee, K. S., Z. W. Geem, S. Lee, and W. Kyu. 2005. “The Harmony Search Heuristic Algorithm for Discrete Structural Optimization.” Engineering Optimization 37 (7): 663–684.
  • Li, L. J., Z. B. Huang, and F. Liu. 2009. “A Heuristic Particle Swarm Optimization Method for Truss Structures with Discrete Variables.” Computers and Structures 87 (7): 435–443.
  • Lund, E., and J. Stegmann. 2005. “On Structural Optimization of Composite Shell Structures Using a Discrete Constitutive Parameterization.” Wind Energy 8 (1): 109–124.
  • Nanakorn, P., and K. Meesomklin. 2001. “An Adaptive Penalty Function in Genetic Algorithms for Structural Design Optimization.” Computers and Structures 79 (29): 2527–2539.
  • Rajeev, S., and C. S. Krishnamoorthy. 1992. “Discrete Optimization of Structures Using Genetic Algorithms.” Journal of Structural Engineering 118 (5): 1233–1250.
  • Sonmez, M. 2011. Discrete Optimum Design of Truss Structures Using Artificial Bee Colony Algorithm. Structural and Multidisciplinary Optimization 43: 85–97.
  • Sousa, F. L., and W. K. Takahashi. 2005. “Discrete Optimal Design of Trusses by Generalized Extremal Optimization.” In 6th World Congresses of Structural and Multidisciplinary Optimization, Brazil, 30 May–3 June 2005.
  • Stegmann, J., and E. Lund. 2005. “Discrete Material Optimization of General Composite Shell Structures.” International Journal for Numerical Methods in Engineering 62 (14): 2009–2027.
  • Thanedar, P. B., and G. N. Vanderplaats. 1995. “Survey of Discrete Variable Optimization for Structural Design.” Journal of Structural Engineering 121 (2): 301–306.
  • Togan, V., and A. T. Daloglu. 2006. “Optimization of 3D Trusses with Adaptive Approach in Genetic Algorithms.” Engineering Structures 28 (7): 1019–1027.
  • Togan, V., and A. T. Daloglu. 2008. “An Improved Genetic Algorithm with Initial Population Strategy and Self-Adaptive Member Grouping.” Computers and Structures 86 (11): 1204–1218.
  • Tong, W., and G. R. Liu. 2001. “An Optimization Procedure for Truss Structures with Discrete Design Variables and Dynamic Constraints.” Computers and Structures 79 (2): 155–162.
  • Turkkan, N. 2003. “Discrete Optimization of Structures Using a Floating-Point Genetic Algorithm.” In Proceedings of the Annual Conference of the Canadian Society for Civil Engineering, Moncton, Nouveau-Brunswick, Canada, GCM–134–1/8.
  • Wu, S. J., and P. T. Chow. 1995. “Steady-State Genetic Algorithms for Discrete Optimization of Trusses.” Computers and Structures 56 (6): 979–991.
  • Yu, X., S. Zhang, and E. Johnson. 2003. “A Discrete Post-Processing Method for Structural Optimization.” Engineering with Computers 19 (2): 213–220.
  • Zhu, D. M. 1986. “An Improved Templeman's Algorithm for the Optimum Design of Trusses with Discrete Member Sizes.” Engineering Optimization 9 (4): 303–312.

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