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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Yusuf Cengiz Toklu
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DOI:10.17265/1934-7359/2023.03.007
Civil Engineering Department, Faculty of Engineering, Bilecik Seyh Edebali University, Turkey
Structural analysis problems can be formulized as either root finding problems, or optimization problems. The general practice is to choose the first option directly or to convert the second option again to a root finding problem by taking relevant derivatives and equating them to zero. The second alternative is used very randomly as it is and only for some simple demonstrative problems, most probably due to difficulty in solving optimization problems by classical methods. The method called TPO/MA (Total Potential Optimization using Metaheuristic Algorithms) described in this study successfully enables to handle structural problems with optimization formulation. Using metaheuristic algorithms provides additional advantages in dealing with all kinds of constraints.
TPO/MA, structural analysis, nonlinear, truss, metaheuristics, algorithms.
[1] White, D. L., and Hodge, P. G. 1980. “Computation of Non-unique Solutions of Elastic-Plastic Trusses.” Computers and Structures 12: 769-74.
[2] Smith, E. A. 1984. “Space Truss Nonlinear Analysis.” Journal of Structural Engineering 110 (4): 688-705.
[3] Ohkubo, S., Watada, Y., and Fujiwaki, T. 1987. “Nonlinear Analysis of Truss by Energy Minimization.” Comput Struct. 27 (1): 129-45.
[4] Blandford, G. E. 1996. “Progressive Failure Analysis of Inelastic Space Truss Structures.” Computers & Structures 58 (5): 981-90.
[5] Aref, A. J., and Guo, Z. 2001. “Framework for Finite-Element—Based Large Increment Method for Nonlinear Structural Problems.” Journal of Engineering Mechanics, (ASCE) 127 (7): 739-46.
[6] Driemeier, L., Proença, S. P. B., and Alves, M. 2005. “A Contribution to the Numerical Nonlinear Analysis of Three-Dimensional Truss Systems Considering Large Strains, Damage and Plasticity.” Communications in Nonlinear Science and Numerical Simulation 10 (5): 515-35.
[7] Saffari, H., Fadaee, M. J., and Tabatabaei, R. 2008. “Nonlinear Analysis of Space Trusses Using Modified Normal Flow Algorithm.” Journal of Structural Engineering 134 (6): 998-1005.
[8] Juan, S. H., and Tur, J. M. M. 2008. “Tensegrity Frameworks: Static Analysis Review.” Mechanism and Machine Theory 43 (7): 859-81.
[9] Zhang, L., Gao, Q., and Zhang, H. W. 2013. “An Efficient Algorithm for Mechanical Analysis of Bimodular Truss and Tensegrity Structures.” International Journal of Mechanical Sciences 70: 57-68. http://www.sciencedirect.com/science/article/pii/S0020740313000568.
[10] Toklu, Y. C. 2004. “Nonlinear Analysis of Trusses through Energy Minimization.” Computers and Structures 82 (20-21): 1581-9.
[11] Toklu, Y. C. 2013. “Structural Analysis, Metaheuristic Algorithms and the Method TPO/MA.” In Proceedings of the 14th EU/ME Workshop, edited by A. Fink and J. Geiger. Hamburg, Germany: Helmut Schmidt University, pp. 44-50.
[12] Toklu, Y. C., and Toklu, N. E. 2013. Analysis of Structures by Total Potential Optimization Using Meta-Heuristic Algorithms (TPO/MA), edited by Siarry, P. Hauppauge: Nova Science Publishers.
[13] Bekdas, G., Temur, R., and Toklu, Y. C. 2014. “Analysis of Structures with Unilateral Boundary Conditions.” In Metaheuristics and Engineering, edited by Toklu and Bekdaş. New York: Bilecik University, pp. 113-6.
[14] Toklu, Y. C., Bekdaş, G., and Temür, R. 2013. “Analysis of Trusses by Total Potential Optimization Method Coupled with Harmony Search.” Structural Engineering Mechanics, An International Journal 45 (2): 183-99.