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Structural Engineering and Mechanics Volume 62, Number 6, June25 2017 , pages 749-758 DOI: https://doi.org/10.12989/sem.2017.62.6.749 |
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Analysis of cable structures through energy minimization |
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Yusuf Cengiz Toklu, Gebrail Bekdaş and Rasim Temur
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Abstract | ||
In structural mechanics, traditional analyses methods usually employ matrix operations for obtaining displacement and internal forces of the structure under the external effects, such as distributed loads, earthquake or wind excitations, and temperature changing inter alia. These matrices are derived from the well-known principle of mechanics called minimum potential energy. According to this principle, a system can be in the equilibrium state only in case when the total potential energy of system is minimum. A close examination of the expression of the well-known equilibrium condition for linear problems, P=K | ||
Key Words | ||
cable structures; TPO/MA method; minimum potential energy; structural analyses; geometric nonlinearity; metaheuristic algorithms; harmony search | ||
Address | ||
Yusuf Cengiz Toklu: Department of Civil Engineering, Okan University, Turkey Gebrail Bekdas and Rasim Temur: Department of Civil Engineering, Istanbul University, Turkey | ||