Diseño óptimo de armaduras empleando optimización con ondas del agua

Introducción: En los últimos años, la importancia de los aspectos económicos en el campo de las estructuras ha motivado a muchos investigadores a emplear nuevos métodos para minimizar el peso de las estructuras. El objetivo principal de la optimización estructural (diseño óptimo) es minimizar el pes...

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Autores:: Millán Páramo, Carlos

Tipo de recurso:: Article of journal

Fecha de publicación:: 2017

Institución:: Corporación Universidad de la Costa

Repositorio:: REDICUC - Repositorio CUC

Idioma:: spa

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dc.title.spa.fl_str_mv	Diseño óptimo de armaduras empleando optimización con ondas del agua
dc.title.translated.eng.fl_str_mv	Optimal design of truss structures using water wave optimization
title	Diseño óptimo de armaduras empleando optimización con ondas del agua
spellingShingle	Diseño óptimo de armaduras empleando optimización con ondas del agua Optimización con ondas del agua Optimización estructural Armaduras Metaheurística Water wave optimization Structural optimization Truss structures Metaheuristic
title_short	Diseño óptimo de armaduras empleando optimización con ondas del agua
title_full	Diseño óptimo de armaduras empleando optimización con ondas del agua
title_fullStr	Diseño óptimo de armaduras empleando optimización con ondas del agua
title_full_unstemmed	Diseño óptimo de armaduras empleando optimización con ondas del agua
title_sort	Diseño óptimo de armaduras empleando optimización con ondas del agua
dc.creator.fl_str_mv	Millán Páramo, Carlos
dc.contributor.author.spa.fl_str_mv	Millán Páramo, Carlos
dc.subject.proposal.spa.fl_str_mv	Optimización con ondas del agua Optimización estructural Armaduras Metaheurística
topic	Optimización con ondas del agua Optimización estructural Armaduras Metaheurística Water wave optimization Structural optimization Truss structures Metaheuristic
dc.subject.proposal.eng.fl_str_mv	Water wave optimization Structural optimization Truss structures Metaheuristic
description	Introducción: En los últimos años, la importancia de los aspectos económicos en el campo de las estructuras ha motivado a muchos investigadores a emplear nuevos métodos para minimizar el peso de las estructuras. El objetivo principal de la optimización estructural (diseño óptimo) es minimizar el peso de las estructuras al tiempo que se satisfacen todos los requerimientos impuestos por los códigos de diseño.Objetivo: En este estudio, el algoritmo Optimización con Ondas del Agua (Water Wave Optimization - WWO), es implementado para resolver el problema de optimización estructural de armaduras en 2D y 3D.Metodología: El estudio está compuesto por tres fases principales: 1) formulación del problema de optimización estructural; 2) estudio de los fundamentos y parámetros que controlan al algoritmo WWO y 3) evaluar el desempeño del WWO en problemas optimización de armaduras reportadas en la literatura especializada.Resultados: Los valores de peso, peso promedio, desviación estándar y número total de análisis ejecutados para converger al diseño óptimo conseguidos con WWO indican que el algoritmo es una buena herramienta para minimizar el peso de armaduras sujetas a restricciones de esfuerzo y desplazamientos.Conclusiones: Se observó que el algoritmo WWO es eficaz, eficiente y robusto, para resolver diversos tipos de problemas, con diferentes números de elementos. Además, WWO requiere menor número de análisis para converger al diseño óptimo en comparación con otros algoritmos
publishDate	2017
dc.date.issued.none.fl_str_mv	2017-07-01
dc.date.accessioned.none.fl_str_mv	2019-02-13T21:39:46Z
dc.date.available.none.fl_str_mv	2019-02-13T21:39:46Z
dc.type.spa.fl_str_mv	Artículo de revista
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dc.identifier.citation.spa.fl_str_mv	C. Millán Páramo, “Diseño óptimo de armaduras empleando optimización con ondas del agua,” INGE CUC, vol. 13, no. 2, pp. 102-111, 2017. DOI: http://doi.org/10.17981/ingecuc.13.2.2017.11
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dc.identifier.doi.spa.fl_str_mv	10.17981/ingecuc.13.2.2017.11
dc.identifier.eissn.spa.fl_str_mv	2382-4700
dc.identifier.instname.spa.fl_str_mv	Corporación Universidad de la Costa
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identifier_str_mv	C. Millán Páramo, “Diseño óptimo de armaduras empleando optimización con ondas del agua,” INGE CUC, vol. 13, no. 2, pp. 102-111, 2017. DOI: http://doi.org/10.17981/ingecuc.13.2.2017.11 10.17981/ingecuc.13.2.2017.11 2382-4700 Corporación Universidad de la Costa 0122-6517 REDICUC - Repositorio CUC
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dc.relation.references.spa.fl_str_mv	[1] S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by Simulated Annealing," Science 80, vol. 220, no. 4598, pp. 671–680, 1983, DOI: https://doi.org/10.1126/science.220.4598.671 [2] Z. W. Geem, J. H. Kim, and G. V. Loganathan, "A New Heuristic Optimization Algorithm: Harmony Search," Simulation, vol. 76, no. 2, pp. 60–68, 2001, DOI: https://doi.org/10.1177/003754970107600201 [3] J. H. Holland, "Adaptation in Natural and Artificial Systems," Ann Arbor MI Univ. Michigan Press, vol. Ann Arbor, p. 183, 1975, DOI: https://doi.org/10.1137/1018105 [4] X.-S. Yang and S. Deb, "Cuckoo search: recent advances and applications," Neural Comput. Appl., vol. 24, no. 1, pp. 169–174, 2014, DOI: https://doi.org/10.1007/s00521-013-1367-1 [5] J. Kennedy and R. Eberhart, "Particle swarm optimization," 1995 IEEE Int. Conf. Neural Networks (ICNN 95), vol. 4, pp. 1942–1948, 1995, DOI: https://doi.org/10.1109/ICNN.1995.488968 [6] M. Dorigo, V. Maniezzo, and A. Colorni, "Ant system: optimization by a colony of cooperating agents," IEEE Trans. Syst. Man Cybern. Part B, vol. 26, no. 1, pp. 29– 41, 1996, DOI: https://doi.org/10.1109/3477.484436 [7] F. Erbatur, O. Hasançebi, İ. Tütüncü, and H. Kılıç, "Optimal design of planar and space structures with genetic algorithms," Comput. Struct., vol. 75, no. 2, pp. 209–224, 2000, DOI: https://doi.org/10.1016/S0045-7949(99)00084-X [8] J. F. Schutte and A. A. Groenwold, "Sizing design of truss structures using particle swarms," Struct. Multidiscip. Optim., vol. 25, no. 4, pp. 261–269, oct. 2003, DOI: https://doi.org/10.1007/s00158-003-0316-5 [9] C. V. Camp and B. J. Bichon, "Design of Space Trusses Using Ant Colony Optimization," J. Struct. Eng., vol. 130, no. 5, pp. 741–751, 2004, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2004)130:5(741) [10] K. S. Lee and Z. W. Geem, "A new structural optimization method based on the harmony search algorithm," Comput. Struct., vol. 82, no. 9–10, pp. 781–798, 2004, DOI: https://doi.org/10.1016/j.compstruc.2004.01.002 [11] K. S. Lee and Z. W. Geem, "A new meta-heuristic algorithm for continuous engineering optimization: Harmony search theory and practice," Comput. Methods Appl. Mech. Eng., vol. 194, no. 36–38, pp. 3902–3933, 2005, DOI: https://doi.org/10.1016/j.cma.2004.09.007 [12] O. K. Erol and I. Eksin, "A new optimization method: Big Bang–Big Crunch," Adv. Eng. Softw., vol. 37, no. 2, pp. 106–111, 2006, DOI: https://doi.org/10.1016/j.advengsoft.2005.04.005 [13] C. V. Camp, "Design of Space Trusses Using Big Bang– Big Crunch Optimization," J. Struct. Eng., vol. 133, no. 7, pp. 999–1008, 2007, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2007)133:7(999) [14] L. J. Li, Z. B. Huang, F. Liu, and Q. H. Wu, "A heuristic particle swarm optimizer for optimization of pin connected structures," Comput. Struct., vol. 85, no. 7–8, pp. 340–349, 2007, DOI: https://doi.org/10.1016/j.compstruc.2006.11.020 [15] R. E. Perez and K. Behdinan, "Particle swarm approach for structural design optimization," Comput. Struct., vol. 85, no. 19–20, pp. 1579–1588, 2007, DOI: https://doi.org/10.1016/j.compstruc.2006.10.013 [16] L. Lamberti, "An efficient simulated annealing algorithm for design optimization of truss structures," Comput.Struct., vol. 86, no. 19–20, pp. 1936–1953, 2008, DOI: https://doi.org/10.1016/j.compstruc.2008.02.004 [17] A. Kaveh and S. Talatahari, "Size optimization of space trusses using Big Bang–Big Crunch algorithm," Comput. Struct., vol. 87, no. 17–18, pp. 1129–1140, 2009, DOI: https://doi.org/10.1016/j.compstruc.2009.04.011 [18] A. Kaveh and S. Talatahari, "Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures," Comput. Struct., vol. 87, no. 5–6, pp. 267–283, 2009, DOI: https://doi.org/10.1016/j.compstruc.2009.01.003 [19] A. Kaveh and S. Talatahari, "A particle swarm ant colony optimization for truss structures with discrete variables," J. Constr. Steel Res., vol. 65, no. 8–9, pp. 1558–1568, 2009, DOI: https://doi.org/10.1016/j.jcsr.2009.04.021 [20] M. Sonmez, "Artificial Bee Colony algorithm for optimization of truss structures," Appl. Soft Comput., vol. 11, no. 2, pp. 2406–2418, 2011, DOI: https://doi.org/10.1016/j.asoc.2010.09.003 [21] S. O. Degertekin, "Improved harmony search algorithms for sizing optimization of truss structures," Comput. Struct., vol. 92–93, pp. 229–241, 2012, DOI: https://doi.org/10.1016/j.compstruc.2011.10.022 [22] S. O. Degertekin and M. S. Hayalioglu, "Sizing truss structures using teaching-learning-based optimization," Comput. Struct., vol. 119, pp. 177–188, 2013, DOI: https://doi.org/10.1016/j.compstruc.2012.12.011 [23] C. V. Camp and M. Farshchin, "Design of space trusses using modified teaching-learning based optimization," Eng. Struct., vol. 62–63, pp. 87–97, 2014, DOI: https://doi.org/10.1016/j.engstruct.2014.01.020 [24] A. Kaveh, T. Bakhshpoori, and E. Afshari, "An efficient hybrid Particle Swarm and Swallow Swarm Optimization algorithm," Comput. Struct., vol. 143, pp. 40–59, 2014, DOI: https://doi.org/10.1016/j.compstruc.2014.07.012 [25] A. Kaveh and M. Ilchi Ghazaan, "Enhanced colliding bodies optimization for design problems with continuous and discrete variables," Adv. Eng. Softw., vol. 77, pp. 66–75, 2014, DOI: https://doi.org/10.1016/j.advengsoft.2014.08.003 [26] A. Kaveh, R. Sheikholeslami, S. Talatahari, and M. Keshvari-Ilkhichi, "Chaotic swarming of particles: A new method for size optimization of truss structures," Adv. Eng. Softw., vol. 67, pp. 136–147, 2014, DOI: https://doi.org/10.1016/j.advengsoft.2013.09.006 [27] A. Kaveh, B. Mirzaei, and A. Jafarvand, "An improved magnetic charged system search for optimization of truss structures with continuous and discrete variables," Appl. Soft Comput. J., vol. 28, pp. 400–410, 2015, DOI: https://doi.org/10.1016/j.asoc.2014.11.056 [28] A. Kaveh and V. R. Mahdavi, "Colliding Bodies Optimization method for optimum design of truss structures with continuous variables," Adv. Eng. Softw., vol. 70, pp. 1–12, 2014, DOI: https://doi.org/10.1016/j.advengsoft.2014.01.002 [29] Y.-J. Zheng, "Water wave optimization: A new natureinspired metaheuristic," Comput. Oper. Res., vol. 55, pp. 1–11, 2015, DOI: https://doi.org/10.1016/j.cor.2014.10.008 [30] C. Millán Páramo and E. Millán Romero, "Algoritmo simulated annealing modificado para minimizar peso en cerchas planas con variables discretas," INGE CUC, vol. 12, no. 2, pp. 9–16, 2016, DOI: https://doi.org/10.17981/ingecuc.12.2.2016.01
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spelling	Millán Páramo, Carlos2019-02-13T21:39:46Z2019-02-13T21:39:46Z2017-07-01C. Millán Páramo, “Diseño óptimo de armaduras empleando optimización con ondas del agua,” INGE CUC, vol. 13, no. 2, pp. 102-111, 2017. DOI: http://doi.org/10.17981/ingecuc.13.2.2017.11https://hdl.handle.net/11323/2466https://doi.org/10.17981/ingecuc.13.2.2017.1110.17981/ingecuc.13.2.2017.112382-4700Corporación Universidad de la Costa0122-6517REDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Introducción: En los últimos años, la importancia de los aspectos económicos en el campo de las estructuras ha motivado a muchos investigadores a emplear nuevos métodos para minimizar el peso de las estructuras. El objetivo principal de la optimización estructural (diseño óptimo) es minimizar el peso de las estructuras al tiempo que se satisfacen todos los requerimientos impuestos por los códigos de diseño.Objetivo: En este estudio, el algoritmo Optimización con Ondas del Agua (Water Wave Optimization - WWO), es implementado para resolver el problema de optimización estructural de armaduras en 2D y 3D.Metodología: El estudio está compuesto por tres fases principales: 1) formulación del problema de optimización estructural; 2) estudio de los fundamentos y parámetros que controlan al algoritmo WWO y 3) evaluar el desempeño del WWO en problemas optimización de armaduras reportadas en la literatura especializada.Resultados: Los valores de peso, peso promedio, desviación estándar y número total de análisis ejecutados para converger al diseño óptimo conseguidos con WWO indican que el algoritmo es una buena herramienta para minimizar el peso de armaduras sujetas a restricciones de esfuerzo y desplazamientos.Conclusiones: Se observó que el algoritmo WWO es eficaz, eficiente y robusto, para resolver diversos tipos de problemas, con diferentes números de elementos. Además, WWO requiere menor número de análisis para converger al diseño óptimo en comparación con otros algoritmosIntroduction−In recent years, the importance of economic considerations in the field of structures has motivated many researchers to employ new meth-ods for minimizing the weight of the structures. The main goal of the struc-tural optimization is to minimize the weight of structures while satisfying all design requirements imposed by design codes.Objective−In this study, the Water Wave Optimization (WWO) algorithm is implemented to solve the problem of structural optimization of 2D and 3D truss structures.Methodology−The study is composed of three main phases: 1) formulation of the structural optimization problem; 2) study of the fundamentals and param-eters that control the WWO algorithm and 3) evaluate the WWO performance in optimization problems of truss structures reported in the specialized lit-erature.Results− The values of weight, average weight, standard deviation and the total number of analyses executed to converge to the optimum design obtained with WWO indicate that the algorithm is a good tool to minimize the weight of truss structures subject to stress and displacements constrained. Conclusions− It was observed that the WWO algorithm is effectively, effciently and robust to solve different types of problems, with different num-bers of elements. Furthermore, WWO requires a lower number of analyses to converge to the optimum design compared to other algorithmsMillán Páramo, Carlos-bd3a390a-0bcf-45ea-8c61-41dbfc908203-010 páginasapplication/pdfspaCorporación Universidad de la CostaINGE CUC; Vol. 13, Núm. 2 (2017)INGE CUCINGE CUC[1] S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by Simulated Annealing," Science 80, vol. 220, no. 4598, pp. 671–680, 1983, DOI: https://doi.org/10.1126/science.220.4598.671[2] Z. W. Geem, J. H. Kim, and G. V. Loganathan, "A New Heuristic Optimization Algorithm: Harmony Search," Simulation, vol. 76, no. 2, pp. 60–68, 2001, DOI: https://doi.org/10.1177/003754970107600201[3] J. H. Holland, "Adaptation in Natural and Artificial Systems," Ann Arbor MI Univ. Michigan Press, vol. Ann Arbor, p. 183, 1975, DOI: https://doi.org/10.1137/1018105[4] X.-S. Yang and S. Deb, "Cuckoo search: recent advances and applications," Neural Comput. Appl., vol. 24, no. 1, pp. 169–174, 2014, DOI: https://doi.org/10.1007/s00521-013-1367-1[5] J. Kennedy and R. Eberhart, "Particle swarm optimization," 1995 IEEE Int. Conf. Neural Networks (ICNN 95), vol. 4, pp. 1942–1948, 1995, DOI: https://doi.org/10.1109/ICNN.1995.488968[6] M. Dorigo, V. Maniezzo, and A. Colorni, "Ant system: optimization by a colony of cooperating agents," IEEE Trans. Syst. Man Cybern. Part B, vol. 26, no. 1, pp. 29– 41, 1996, DOI: https://doi.org/10.1109/3477.484436[7] F. Erbatur, O. Hasançebi, İ. Tütüncü, and H. Kılıç, "Optimal design of planar and space structures with genetic algorithms," Comput. Struct., vol. 75, no. 2, pp. 209–224, 2000, DOI: https://doi.org/10.1016/S0045-7949(99)00084-X[8] J. F. Schutte and A. A. Groenwold, "Sizing design of truss structures using particle swarms," Struct. Multidiscip. Optim., vol. 25, no. 4, pp. 261–269, oct. 2003, DOI: https://doi.org/10.1007/s00158-003-0316-5[9] C. V. Camp and B. J. Bichon, "Design of Space Trusses Using Ant Colony Optimization," J. Struct. Eng., vol. 130, no. 5, pp. 741–751, 2004, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2004)130:5(741)[10] K. S. Lee and Z. W. Geem, "A new structural optimization method based on the harmony search algorithm," Comput. Struct., vol. 82, no. 9–10, pp. 781–798, 2004, DOI: https://doi.org/10.1016/j.compstruc.2004.01.002[11] K. S. Lee and Z. W. Geem, "A new meta-heuristic algorithm for continuous engineering optimization: Harmony search theory and practice," Comput. Methods Appl. Mech. Eng., vol. 194, no. 36–38, pp. 3902–3933, 2005, DOI: https://doi.org/10.1016/j.cma.2004.09.007[12] O. K. Erol and I. Eksin, "A new optimization method: Big Bang–Big Crunch," Adv. Eng. Softw., vol. 37, no. 2, pp. 106–111, 2006, DOI: https://doi.org/10.1016/j.advengsoft.2005.04.005[13] C. V. Camp, "Design of Space Trusses Using Big Bang– Big Crunch Optimization," J. Struct. Eng., vol. 133, no. 7, pp. 999–1008, 2007, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2007)133:7(999)[14] L. J. Li, Z. B. Huang, F. Liu, and Q. H. Wu, "A heuristic particle swarm optimizer for optimization of pin connected structures," Comput. Struct., vol. 85, no. 7–8, pp. 340–349, 2007, DOI: https://doi.org/10.1016/j.compstruc.2006.11.020[15] R. E. Perez and K. Behdinan, "Particle swarm approach for structural design optimization," Comput. Struct., vol. 85, no. 19–20, pp. 1579–1588, 2007, DOI: https://doi.org/10.1016/j.compstruc.2006.10.013[16] L. Lamberti, "An efficient simulated annealing algorithm for design optimization of truss structures," Comput.Struct., vol. 86, no. 19–20, pp. 1936–1953, 2008, DOI: https://doi.org/10.1016/j.compstruc.2008.02.004[17] A. Kaveh and S. Talatahari, "Size optimization of space trusses using Big Bang–Big Crunch algorithm," Comput. Struct., vol. 87, no. 17–18, pp. 1129–1140, 2009, DOI: https://doi.org/10.1016/j.compstruc.2009.04.011[18] A. Kaveh and S. Talatahari, "Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures," Comput. Struct., vol. 87, no. 5–6, pp. 267–283, 2009, DOI: https://doi.org/10.1016/j.compstruc.2009.01.003[19] A. Kaveh and S. Talatahari, "A particle swarm ant colony optimization for truss structures with discrete variables," J. Constr. Steel Res., vol. 65, no. 8–9, pp. 1558–1568, 2009, DOI: https://doi.org/10.1016/j.jcsr.2009.04.021[20] M. Sonmez, "Artificial Bee Colony algorithm for optimization of truss structures," Appl. Soft Comput., vol. 11, no. 2, pp. 2406–2418, 2011, DOI: https://doi.org/10.1016/j.asoc.2010.09.003[21] S. O. Degertekin, "Improved harmony search algorithms for sizing optimization of truss structures," Comput. Struct., vol. 92–93, pp. 229–241, 2012, DOI: https://doi.org/10.1016/j.compstruc.2011.10.022[22] S. O. Degertekin and M. S. Hayalioglu, "Sizing truss structures using teaching-learning-based optimization," Comput. Struct., vol. 119, pp. 177–188, 2013, DOI: https://doi.org/10.1016/j.compstruc.2012.12.011[23] C. V. Camp and M. Farshchin, "Design of space trusses using modified teaching-learning based optimization," Eng. Struct., vol. 62–63, pp. 87–97, 2014, DOI: https://doi.org/10.1016/j.engstruct.2014.01.020[24] A. Kaveh, T. Bakhshpoori, and E. Afshari, "An efficient hybrid Particle Swarm and Swallow Swarm Optimization algorithm," Comput. Struct., vol. 143, pp. 40–59, 2014, DOI: https://doi.org/10.1016/j.compstruc.2014.07.012[25] A. Kaveh and M. Ilchi Ghazaan, "Enhanced colliding bodies optimization for design problems with continuous and discrete variables," Adv. Eng. Softw., vol. 77, pp. 66–75, 2014, DOI: https://doi.org/10.1016/j.advengsoft.2014.08.003[26] A. Kaveh, R. Sheikholeslami, S. Talatahari, and M. 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Millán Romero, "Algoritmo simulated annealing modificado para minimizar peso en cerchas planas con variables discretas," INGE CUC, vol. 12, no. 2, pp. 9–16, 2016, DOI: https://doi.org/10.17981/ingecuc.12.2.2016.01111102213INGE CUCINGE CUChttps://revistascientificas.cuc.edu.co/ingecuc/article/view/1628Diseño óptimo de armaduras empleando optimización con ondas del aguaOptimal design of truss structures using water wave optimizationArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersioninfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Optimización con ondas del aguaOptimización estructuralArmadurasMetaheurísticaWater wave optimizationStructural optimizationTruss structuresMetaheuristicPublicationORIGINALDiseño óptimo de armaduras empleando optimización con ondas del agua.pdfDiseño óptimo de armaduras empleando optimización con ondas del agua.pdfapplication/pdf470346https://repositorio.cuc.edu.co/bitstreams/2dbd149e-4783-402e-9468-d2079324d1d2/downloada367bad42ff7ccd8b2c7f80ea9641691MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/d439ad5f-2bef-4045-868d-11c7c43d0d63/download8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILDiseño óptimo de armaduras empleando optimización con ondas del agua.pdf.jpgDiseño óptimo de armaduras empleando optimización con ondas del agua.pdf.jpgimage/jpeg41968https://repositorio.cuc.edu.co/bitstreams/93eb25db-e5ac-4d27-b324-38a81b8235c7/downloadef84629b322984f72ee060c8a75abf58MD54TEXTDiseño óptimo de armaduras empleando optimización con ondas del agua.pdf.txtDiseño óptimo de armaduras empleando optimización con ondas del agua.pdf.txttext/plain40001https://repositorio.cuc.edu.co/bitstreams/ecfd150a-ba43-489a-a86f-0ff01f58fca9/download749c88f352350e4cbe21060c07268e7bMD5511323/2466oai:repositorio.cuc.edu.co:11323/24662024-09-17 12:44:38.455open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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

Diseño óptimo de armaduras empleando optimización con ondas del agua

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