A new hybrid meta-heuristic algorithm for optimal design of large-scale dome structures

References

• Beer, F. P., E. R. Johnston Jr, D. F. Mazurek, P. J. Cornwell, and B. P. Self. 2013. Vector Mechanics for Engineers. McGraw-Hill Companies. New York: McGraw-Hill Education.
   Google Scholar
• Bellagamba, L., and T. Y. Yang. 1981. “Minimum-mass Truss Structures with Constraints on Fundamental Natural Frequency.” AIAA Journal 19: 1452–1458. doi: 10.2514/3.7875
   Web of Science ®Google Scholar
• Carbas, S. 2016. “Design Optimization of Steel Frames Using an Enhanced Firefly Algorithm.” Engineering Optimization 48 (12): 2007–2025. doi: 10.1080/0305215X.2016.1145217
   Web of Science ®Google Scholar
• Charmpis, D. C., N. D. Lagaros, and M. Papadrakakis. 2005. “Multi-database Exploration of Large Design Spaces in the Framework of Cascade Evolutionary Structural Sizing Optimization.” Computer Methods in Applied Mechanics and Engineering 194: 3315–3330. doi: 10.1016/j.cma.2004.12.020
   Web of Science ®Google Scholar
• Dede, T., and V. Toğan. 2015. “A Teaching Learning Based Optimization for Truss Structures with Frequency Constraints.” Structural Engineering and Mechanics 53: 833–845. doi: 10.12989/sem.2015.53.4.833
   Web of Science ®Google Scholar
• Gholizadeh, S., and M. Ebadijalal. 2017. “Seismic Design Optimization of Steel Structures by a Sequential ECBO Algorithm.” International Journal of Optimization in Civil Engineering 7 (2): 157–170.
   Google Scholar
• Hasançebi, O., and S. Kazemzadeh Azad. 2014. “Discrete Size Optimization of Steel Trusses Using a Refined Big Bang–big Crunch Algorithm.” Engineering Optimization 46: 61–83. doi: 10.1080/0305215X.2012.748047
   Web of Science ®Google Scholar
• Kaveh, A. 2017. Advances in Metaheuristic Algorithms for Optimal Design of Structures. 2nd ed. Switzerland: Springer.
   Google Scholar
• Kaveh, A., and M. Ilchi Ghazaan. 2016. “Optimal Design of Dome Truss Structures with Dynamic Frequency Constraints.” Structural and Multidisciplinary Optimization 53 (3): 605–621. doi: 10.1007/s00158-015-1357-2
   Web of Science ®Google Scholar
• Kaveh, A., and M. Ilchi Ghazaan. 2017. “Vibrating Particles System Algorithm for Truss Optimization with Multiple Natural Frequency Constraints.” Acta Mechanica 228 (1): 307–322. doi: 10.1007/s00707-016-1725-z
   Web of Science ®Google Scholar
• Kaveh, A., and A. Zolghadr. 2016. “Optimal Analysis and Design of Large-Scale Domes with Frequency Constraints.” Smart Structures and Systems 18 (4): 733–754. doi: 10.12989/sss.2016.18.4.733
   Web of Science ®Google Scholar
• Kazemzadeh Azad, S., O. Hasançebi, and S. Kazemzadeh Azad. 2013. “Upper Bound Strategy for Metaheuristic Based Design Optimization of Steel Frames.” Advances in Engineering Software 57: 19–32. doi: 10.1016/j.advengsoft.2012.11.016
   Web of Science ®Google Scholar
• Lagaros, N. D. 2014. “A General Purpose Real-World Structural Design Optimization Computing Platform.” Structural and Multidisciplinary Optimization 49: 1047–1066. doi: 10.1007/s00158-013-1027-1
   Web of Science ®Google Scholar
• Lan, T. T. 2005. Space Frame Structures. In Handbook of Structural Engineering, 24–21. Boca Raton, FL: CRC Press.
   Google Scholar
• Lu, Y. C., J. C. Jan, S. L. Hung, and G. H. Hung. 2013. “Enhancing Particle Swarm Optimization Algorithm Using two new Strategies for Optimizing Design of Truss Structures.” Engineering Optimization 45 (10): 1251–1271. doi: 10.1080/0305215X.2012.729054
   Web of Science ®Google Scholar
• Miguel, L. F. F., R. H. Lopez, and L. F. F. Miguel. 2013. “Multimodal Size, Shape, and Topology Optimisation of Truss Structures Using the Firefly Algorithm.” Advances in Engineering Software 56: 23–37. doi: 10.1016/j.advengsoft.2012.11.006
   Web of Science ®Google Scholar
• Miguel, L. F. F., and L. F. F. Miguel. 2012. “Shape and Size Optimization of Truss Structures Considering Dynamic Constraints Through Modern Meta-Heuristic Algorithms.” Expert Systems with Applications 39: 9458–9467. doi: 10.1016/j.eswa.2012.02.113
   Web of Science ®Google Scholar
• Patnaik, S. N., R. M. Coroneos, and D. A. Hopkins. 1997. “A Cascade Optimization Strategy for Solution of Difficult Design Problems.” International Journal for Numerical Methods in Engineering 40: 2257–2266. doi: 10.1002/(SICI)1097-0207(19970630)40:12<2257::AID-NME160>3.0.CO;2-6
   Web of Science ®Google Scholar
• Tong, W. H., J. S. Jiang, and G. R. Liu. 2000. “Solution Existence of the Optimization Problem of Truss Structures with Frequency Constraints.” International Journal of Solids and Structures 37: 4043–4060. doi: 10.1016/S0020-7683(99)00068-2
   Web of Science ®Google Scholar
• Yang, X. S. 2008. Nature-inspired Metaheuristic Algorithms. Bristol: Luniver Press.
   Google Scholar
• Zuo, W., J. Bai, and B. Li. 2014. “A Hybrid OC–GA Approach for Fast and Global Truss Optimization with Frequency Constraints.” Applied Soft Computing 14: 528–535. doi: 10.1016/j.asoc.2013.09.002
   Web of Science ®Google Scholar