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Structural Engineering and Mechanics Volume 45, Number 2, January25 2013 , pages 183-199 DOI: https://doi.org/10.12989/sem.2013.45.2.183 |
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Analysis of trusses by total potential optimization method coupled with harmony search |
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Yusuf Cengiz Toklu, Gebrail Bekdaş and Rasim Temur
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| Abstract | ||
| Current methods of analysis of trusses depend on matrix formulations based on equilibrium equations which are in fact derived from energy principles, and compatibility conditions. Recently it has been shown that the minimum energy principle, by itself, in its pure and unmodified form, can well be exploited to analyze structures when coupled with an optimization algorithm, specifically with a meta-heuristic algorithm. The resulting technique that can be called Total Potential Optimization using Meta-heuristic Algorithms (TPO/MA) has already been applied to analyses of linear and nonlinear plane trusses successfully as coupled with simulated annealing and local search algorithms. In this study the technique is applied to both 2-dimensional and 3-dimensional trusses emphasizing robustness, reliability and accuracy. The trials have shown that the technique is robust in two senses: all runs result in answers, and all answers are acceptable as to the reliability and accuracy within the prescribed limits. It has also been shown that Harmony Search presents itself as an appropriate algorithm for the purpose. | ||
| Key Words | ||
| meta-heuristics; harmony search; total potential optimization method; truss; nonlinearity; robustness | ||
| Address | ||
| Yusuf Cengiz Toklu: Department of Civil Engineering, Faculty of Engineering, Bayburt University, 69000 Bayburt, Turkey Gebrail Bekdas and Rasim Temur: Department of Civil Engineering, Faculty of Engineering, Istanbul University, 34320 Avcilir, Istanbul, Turkey | ||