[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2014.50.3.365

Sizing, geometry and topology optimization of trusses using force method and supervised charged system search

Kaveh, A. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology)
Ahmadi, B. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology)

Publication Information

Structural Engineering and Mechanics / v.50, no.3, 2014 , pp. 365-382 More about this Journal

Abstract

In this article, the force method and Charged System Search (CSS) algorithm are used for the analysis and optimal design of truss structures. The CSS algorithm is employed as the optimization tool and the force method is utilized for analysis. In this paper in addition to member's cross sections, redundant forces, geometry and topology variables are considered as the optimization variables. Minimum complementary energy principle is used directly to analyze the structure. In the presented method, redundant forces are calculated by the CSS in order to minimize the energy function. Combination of the CSS and force method leads to an efficient algorithm in comparison to some of the optimization algorithms.

Keywords

optimization; charged system search; force method; minimum complementary energy; truss structures;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	Argyris, J.H. and Kelsey, S. (1960), Energy theorems and structural analysis, Butterworth, London.
2	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. DOI ScienceOn
3	Felippa, C.A. (1975), "Solution of linear equations with skyline-stored symmetric matrix", Comput. Struct., 5, 13-29. DOI ScienceOn
4	Felix, J.E. (1981), "Shape optimization of trusses subjected to strength, displacement, and frequency constraint", Master thesis, Naval Postgraduate School.
5	Hasancebi, O. and Erbatur, F. (2001), "Layout optimization of trusses using improved GA methodologies", Acta Mech., 146, 87-107. DOI ScienceOn
6	Imai, K. and Schmit, Jr. A.L. (1981), "Configuration optimization of trusses", J. Struct. Div. ASCE, 107(ST5), 745-756.
7	Henderson, J.C. de C. (1960), "Topological aspects of structural analysis", Aircr. Eng., 32, 137-141. DOI
8	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. DOI
9	Hwang, S.F. and He, R.S. (2006), "A hybrid real-parameter genetic algorithm for function optimization", Adv. Eng. Infor., 2, 7-21.
10	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. DOI ScienceOn
11	Kaveh, A. (2006), Optimal Structural Analysis, John Wiley, Chechister, U.K.
12	Kaveh, A. (1974), "Application of topology and matroid theory to the analysis of structures", Ph.D. Thesis. London University, Imperial College, London.
13	Kaveh, A. (1992), "Recent development in the force method of structural analysis", 45, 402-418.
14	Kaveh, A. (2004), Structural Mechanics: Graph and Matrix Methods, Research Studies Press Ltd, Somerset, U.K.
15	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.
16	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. DOI ScienceOn
17	Kaveh, A. and Talatahari, S. (2010), "A novel hiuristic optimization method: Charged System Search", Acta Mech., 213, 267-289 DOI ScienceOn
18	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. DOI ScienceOn
19	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. DOI
20	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.
21	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.
22	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. DOI ScienceOn
23	Rajeev, S. and Krishnamoorthy, C.S. (1997), "Genetic algorithms-based methodologies for design optimization of trusses", J. Struct. Eng., ASCE, 11(3), 195-200.
24	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. DOI
25	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.
26	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. DOI ScienceOn
27	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. DOI ScienceOn
28	Wu, S.J. and Chow, P.T. (1995), "Integrated discrete and configuration optimization of trusses using genetic algorithms", Comput. Struct., 55(4), 695-702. DOI ScienceOn
29	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.
30	Yang, J.P. (1996), "Development of genetic algorithm-based approach for structural optimization", Ph.D. Thesis, Nanyang Technology University, Singapore.
31	Rajan, S.D. (1995), "Sizing, shape and topology design optimizatin of trusses using genetic algorithm", J. Struct. Eng., ASCE, 121(10), 1480-1487. DOI ScienceOn
32	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. DOI

	Ali Ahrari. (2016) Computers & Structures An improved fully stressed design evolution strategy for layout optimization of truss structures / 164 , 127
15	Rafael R. Souza. (2016) Latin American Journal of Solids and Structures A Backtracking Search Algorithm for the Simultaneous Size, Shape and Topology Optimization of Trusses / 13 (15) , 2922
5	A. Kaveh. (2015) Structural Engineering and Mechanics Colliding bodies optimization for size and topology optimization of truss structures / 53 (5) , 847
1	J. Wu. (2016) Steel and Composite Structures Parametric modeling and shape optimization design of five extended cylindrical reticulated shells / 21 (1) , 217
5	J. Wu. (2015) Structural Engineering and Mechanics Parametric modeling and shape optimization of four typical Schwedler spherical reticulated shells / 56 (5) , 813
	Ishaan R. Kale. (2018) International Journal of Parallel, Emergent and Distributed Systems Cohort intelligence algorithm for discrete and mixed variable engineering problems / , 1
3	J. Wu. (2015) Structural Engineering and Mechanics Shape optimization for partial double-layer spherical reticulated shells of pyramidal system / 55 (3) , 555
3	Anh H. Pham. (2016) Advances in Computational Design Discrete optimal sizing of truss using adaptive directional differential evolution / 1 (3) , 275
	Ghanshyam G. Tejani. (2017) Journal of Computational Design and Engineering Size, shape, and topology optimization of planar and space trusses using mutation-based improved metaheuristics /
1435-5663	(2018) Engineering with Computers Topology optimization of truss subjected to static and dynamic constraints by integrating simulated annealing into passing vehicle search algorithms / (1435-5663)
5	(2014) Structural and multidisciplinary optimization : journal of the International Society for Structural and Multidisciplinary Optimization A novel self-adaptive hybrid multi-objective meta-heuristic for reliability design of trusses with simultaneous topology, shape and sizing optimisation design variables / 60 (5) , 1937
6	(2014) Structural engineering and mechanics : An international journal Optimum design of shape and size of truss structures via a new approximation method / 76 (6) , 799
None	(2021) Computers & structures A non-uniform cellular automata framework for topology and sizing optimization of truss structures subjected to stress and displacement constraints / 242 (None) , 106394
5	(2021) Archives of computational methods in engineering : state of the art reviews A Comparative Study of Recent Multi-objective Metaheuristics for Solving Constrained Truss Optimisation Problems / 28 (5) , 4031