Acknowledgement
Supported by : Iran National Science Foundation
References
- Argyris, J.H. and Kelsey, S. (1960), Energy theorems and structural analysis, Butterworth, London.
- Cassell, A.C., Henderson, J.C. de C. and Kaveh, A. (1974), "Cycle bases for the flexicility analysis of structures", Int. J. Numer. Methods Eng., 8, 521-528. https://doi.org/10.1002/nme.1620080308
- Felippa, C.A. (1975), "Solution of linear equations with skyline-stored symmetric matrix", Comput. Struct., 5, 13-29. https://doi.org/10.1016/0045-7949(75)90016-4
- Felix, J.E. (1981), "Shape optimization of trusses subjected to strength, displacement, and frequency constraint", Master thesis, Naval Postgraduate School.
- Hasancebi, O. and Erbatur, F. (2001), "Layout optimization of trusses using improved GA methodologies", Acta Mech., 146, 87-107. https://doi.org/10.1007/BF01178797
- Henderson, J.C. de C. (1960), "Topological aspects of structural analysis", Aircr. Eng., 32, 137-141. https://doi.org/10.1108/eb033249
- Henderson, J.C. de C. and Maunder, E.A.W. (1969), "A problem in applied topology: on the selection of cycles for the flexibility analysis of skeletal structures", J. Inst. Math. Appl., 5(2), 254-269. https://doi.org/10.1093/imamat/5.2.254
- Hwang, S.F. and He, R.S. (2006), "A hybrid real-parameter genetic algorithm for function optimization", Adv. Eng. Infor., 2, 7-21.
- Imai, K. and Schmit, Jr. A.L. (1981), "Configuration optimization of trusses", J. Struct. Div. ASCE, 107(ST5), 745-756.
- Kang, S.L. and Zong, W.G. (2005), "A new meta-heuristic algorithm for continuous engineering optimization: Harmony search theory and practice", Comput. Meth. Appl. Mech. Eng., 194, 3902-3933. https://doi.org/10.1016/j.cma.2004.09.007
- Kaveh, A. (1974), "Application of topology and matroid theory to the analysis of structures", Ph.D. Thesis. London University, Imperial College, London.
- Kaveh, A. (1992), "Recent development in the force method of structural analysis", 45, 402-418.
- Kaveh, A. (2004), Structural Mechanics: Graph and Matrix Methods, Research Studies Press Ltd, Somerset, U.K.
- Kaveh, A. (2006), Optimal Structural Analysis, John Wiley, Chechister, U.K.
- Kaveh, A. and Ahmadi, B. (2013), "Simultaneous analysis, design and optimization of structures using force method and supervised CSS algorithm", Scientia Iranica, 20, 65-76.
- Kaveh, A. and Kalatjari, V. (2004), "Size/geometry optimizationof trusses by the force method and genetic algorithm", Z. Angew. Math. Mech., 84(5), 347-357. https://doi.org/10.1002/zamm.200310106
- Kaveh, A. and Talatahari, S. (2010), "A novel hiuristic optimization method: Charged System Search", Acta Mech., 213, 267-289 https://doi.org/10.1007/s00707-009-0270-4
- Kaveh, A. and Talatahari, S. (2011), "An enhanced charged system search for configuration optimization using the concept of fields of forces", Struct. Multidisp. Optim., 43, 339-351. https://doi.org/10.1007/s00158-010-0571-1
- Kaveh, A. and Rahami, H. (2006), "Analysis, design and optimization of structures using force method and genetic algorithm", Int. J. Numer. Method. Eng., 10(65), 1570-1584.
- Lee, D.K., Kim, J.H., Starossek, U. and Shin, S.M. (2012) "Evaluation of structural outrigger belt Truss layouts for tall buildings by using topology Optimization", Struct. Eng. Mech., 43(6), 711-724. https://doi.org/10.12989/sem.2012.43.6.711
- Martinez, P., Marti, P. and Querin, O.M. (2007), "Growth method for size, topology, and geometry optimization of truss structures", Struct. Multidiscip. Optim., 33(1), 13-26.
- Ohsaki, M, and Katoh, N. (2005), "Topology optimization of trusses with stress and local constraints on nodal stability and member intersection", Struct. Multidiscip. Optim., 29(3), 190-197. https://doi.org/10.1007/s00158-004-0480-2
- Rahami, H., Kaveh, A. and Gholipour, Y. (2008), "Sizing, geometry and topology optimization of trusses via force method and genetic algorithm", Eng. Struct., 30, 2360-2369. https://doi.org/10.1016/j.engstruct.2008.01.012
- Rajan, S.D. (1995), "Sizing, shape and topology design optimizatin of trusses using genetic algorithm", J. Struct. Eng., ASCE, 121(10), 1480-1487. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1480)
- Rajeev, S. and Krishnamoorthy, C.S. (1997), "Genetic algorithms-based methodologies for design optimization of trusses", J. Struct. Eng., ASCE, 11(3), 195-200.
- Soh, C.K. and Yang, J.P. (1996), "Fuzzy controlled genetic algorithm search for shape optimization", J. Comput. Civ. Eng., ASCE, 10(2), 143-150. https://doi.org/10.1061/(ASCE)0887-3801(1996)10:2(143)
- Tang, W, Tong, L. and Gu, Y. (1995), "Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables", Int. J. Numer. Method. Eng., 62, 1737-1762.
- Toklu, Y.C., Bekdas, G. and Temur, R. (2013) "Analysis of Trusses by total potential Optimization method coupled with harmony search", Struct. Eng. Mech., 45(2), 183-199. https://doi.org/10.12989/sem.2013.45.2.183
- Wu, S.J. and Chow, P.T. (1995), "Integrated discrete and configuration optimization of trusses using genetic algorithms", Comput. Struct., 55(4), 695-702. https://doi.org/10.1016/0045-7949(94)00426-4
- Xie, H., Liu, F., Li, L. and Wang, C. (2009), "Topology Optimization of Truss Structures Based on the Improved Group Search Optimizer", AIP Conf. Proc., 1233, 707-712.
- Yang, J.P. (1996), "Development of genetic algorithm-based approach for structural optimization", Ph.D. Thesis, Nanyang Technology University, Singapore.
- Yang, J.P. and Soh, C.K. (1997), "Structural optimization by genetic algorithm with tournament selection", J. Comput. Civ. Eng., ASCE, 11(3), 195-200. https://doi.org/10.1061/(ASCE)0887-3801(1997)11:3(195)
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