Abstract
This paper presents efficiency of three meta-heuristic algorithms for large-scale shape optimization of double curvature arch dams under seismic loading condition with different constraints such as failure, stability and geometrical limitations. The earthquake load is considered by time variant ground acceleration applied in the upstream-downstream direction of the arch dam. Here, the Westergaard method is used to include the dam-reservoir interaction. For optimization, the Charged System Search (CSS), Particle Swarm Optimization (PSO), and a hybrid CSS and PSO (CSS-PSO) are utilized. Numerical results demonstrate the effectiveness of the meta-heuristic algorithms for optimal shape design of arch dams. Comparative studies illustrates that the superiority CSS-PSO algorithm compared to the standard PSO and CSS. A parametric study is also conducted to investigate the effect of water depth and earthquake intensity on the cost optimization of the arch dams.
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References
Eberhart, R.C. and Kennedy, J. (1995). “A new optimizer using particle swarm theory.” Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan.
Fialho, J. F. L. (1955). Leading principles for the design of arch dams — A new method of tracing and dimensioning, LNEC, Lisbon, Portugal.
Gholizadeh, S., and Seyedpoor, S. M. (2011). “Optimum design of arch dams for frequency limitations.” International Journal of Optimization in Civil Engineering Vol. 1, pp. 1–14.
Hall, J. F. and Chopra, A. K. (1983). “Dynamic analysis of arch dams including hydrodynamic effects.” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 1, pp. 149–167.
Kaveh, A. and Talatahari, S. (2010a). “A novel heuristic optimization method: Charged system search.” Acta Mechanica, Vol. 213, Nos. 3–4, pp. 267–289.
Kaveh, A. and Talatahari, S. (2010b). “Optimal design of truss structures via the charged system search algorithm.” Structural Multidisciplinary Optimization, Vol. 37, No. 6, pp. 893–911.
Kaveh, A. and Talatahari, S. (2010c). “Charged system search for optimum grillage systems design using the LRFD-AISC code.” Journal of Constructional Steel Research, Vol. 66, No. 6, pp. 767–771.
Kaveh, A. and Talatahari, S. (2011). “Optimization of large-scale truss structure using modified charged system search.” International Journal of Optimization in Civil Engineering, Vol. 1, No. 1, pp. 15–28.
MATLAB (2009). The language of technical computing, Math Works Inc.
McKenna, F., Fenves, G. L., and Scott, M. H. (2003). Open system for earthquake engineering simulation, Pacific Earthquake Engineering Research Center, University of California, Berkeley, USA.
Mohr, G. A. (1979). “Design of shell shape using finite elements.” Computers and Structures, Vol. 10, No. 5, pp. 745–749.
Rajan. M. K. S. (1968). Shell theory approach for optimization of arch dam shapes, PhD Thesis, University of California, Berkeley, USA.
Ricketts, R. E. and Zienkiewicz, O. C. (1975). Shape optimization of concrete dams, criteria and assumptions for numerical analysis of dams, Quadrant Press, Swansea, London, UK.
Seyedpoor, S. M. and Gholizadeh, S. (2008). “Optimum shape design of arch dams by a combination of simultaneous perturbation stochastic approximation and genetic algorithm.” Advances in Structural Engineering, Vol. 11, No. 5, pp. 501–510.
Sharma, R. L. (1983). Optimal configuration of arch dams, PhD Thesis, Indian Institute of Technology, Kanpur, India.
Sharpe, R. (1969). The optimum design of arch dams, Institution of Civil Engineers, UK.
Tan, H. and Chopra, A. K. (1996). “Dam-foundation rock interaction effects in earthquake response of arch dams.” ASCE, Journal of Structural Engineering, Vol. 122, No. 5, pp. 528–538.
Varshney, R. S. (1982). Concrete dams, Second Ed., Oxford and IBH Publishing Co., New Delhi, India.
Westergaard, H. M. (1933). “Water pressure on dams during earthquakes.” Transactions of the American Society of Civil Engineering, Vol. 98, No. 2, pp. 418–433.
Willam, K. J. and Warnke, E. D. (1975). “Constitutive model for the triaxial behavior of concrete.” Proceedings of the International Association for Bridge and Structural Engineering, ISMES, Bergamo, Italy, Vol. 19, p. 174.
Zhu, B., Rao, B., Jia, J., and Li, Y. (1992). “Shape optimization of arch dam for static and dynamic loads.” J Struct Eng, ASCE, Vol. 118, No. 11, pp. 2996–3015.
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Kaveh, A., Mahdavi, V.R. Shape optimization of arch dams under earthquake loading using meta-heuristic algorithms. KSCE J Civ Eng 17, 1690–1699 (2013). https://doi.org/10.1007/s12205-013-0463-1
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DOI: https://doi.org/10.1007/s12205-013-0463-1