Abstract
This chapter consists of two parts. In part 1, comprehensive study of purely size optimization is presented. In part 2, simultaneous size and topology optimization of truss structures under static loads and dynamic frequency constraints are studied.
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Kaveh A, Mahdavi VR (2014) Colliding bodies optimization method for optimum design of truss structures with continuous variables. Adv Eng Softw 70:1–12
Kaveh A, Mahdavai VR (2014) Colliding-bodies optimization for truss optimization with multiple frequency constraints. J Comput Civ Eng ASCE. 10.1061/(ASCE)CP. 1943-5487. 0000402
Kaveh A, Mahdavi VR (2015) Colliding bodies optimization for size and topology optimization of truss structures. Struct Eng Mech An Int J 53(5):847–865
Kaveh A, Mahdavai VR (2014) Colliding bodies optimization: a novel meta-heuristic method. Comput Struct 139:18–27
Rajeev S, Krishnamoorthy CS (1992) Discrete optimization of structures using genetic algorithms. Struct Eng ASCE 118:1233–1250
Schutte JJ, Groenwold AA (2003) Sizing design of truss structures using particle swarms. Struct Multi Optim 25:261–269
Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82:781–798
Kaveh A, Khayat Azad M (2012) A novel meta-heuristic method: ray optimization. Comput Struct 112–113:283–294
Erbatur F, Hasançebi O, Tütüncü I, Kiliç H (2000) Optimal design of planar and space structures with genetic algorithms. Comput Struct 75:209–224
Camp CV, Bichon J (2004) Design of space trusses using ant colony optimization. J Struct Eng ASCE 130:741–751
Perez RE, Behdinan K (2007) Particle swarm approach for structural design optimization. Comput Struct 85:1579–1588
Camp CV (2007) Design of space trusses using Big Bang-Big Crunch optimization. J Struct Eng ASCE 133:999–1008
Soh CK, Yang J (1996) Fuzzy controlled genetic algorithm search for shape optimization. J Comput Civil Eng ASCE 10:143–150
Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82:781–798
Kaveh A, Talatahari S (2010) A novel heuristic optimization method: charged system search. Acta Mech 213:267–289
Kaveh A, Ilchi Ghazaan M, Bakhshpoori T (2013) An improved ray optimization algorithm for design of truss structures. Period Polytech Civil Eng 57:97–112
American Institute of Steel Construction (AISC) (1989) Manual of steel construction allowable stress design, 9th edn. AISC, Chicago
Saka MP (1990) Optimum design of pin-jointed steel structures with practical applications. J Struct Eng ASCE 116:2599–2620
Degertekin SO, Hayalioglu MS (2013) Sizing truss structures using teaching-learning based optimization. Comput Struct 119:177–188
Kaveh A, Talatahari S (2009) A particle swarm ant colony optimization for truss structures with discrete variables. J Constr Steel Res 65:1558–1568
Hasançebi O, Çarbas S, Dogan E, Erdal F, Saka MP (2009) Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures. Comput Struct 87:284–302
MakiabadiMH Baghlani A, Rahnema H, Hadianfard MA (2013) Optimal design of truss bridges using teaching-learning-base optimization algorithm. Int J Optim Civil Eng 3(3):499–510
AustRoads (1992) Austroads bridge design code, 92. Australian Railway Association, NSW
Gholizadeh S, Salajegheh E, Torkzadeh P (2008) Structural optimization with frequency constraints by genetic algorithm using wavelet radial basis function neural network. J Sound Vib 312:316–331
Kaveh A, Zolghadr A (2012) Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability. Comput Struct 102–103:14–27
Wang D, Zhang WH, Jiang JS (2004) Truss optimization on shape and sizing with frequency constraints. AIAA J 42:1452–1456
Lingyun W, Mei Z, Guangming W, Guang M (2005) Truss optimization on shape and sizing with frequency constraints based on genetic algorithm. J Comput Mech 25:361–368
Gomes MH (2011) Truss optimization with dynamic constraints using a particle swarm algorithm. Expert Syst Appl 38:957–968
Kaveh A, Zolghadr A (2011) Shape and size optimization of truss structures with frequency constraints using enhanced charged system search algorithm. Asian J Civil Eng 12:487–509
Kaveh A, Zolghadr A (2014) Democratic PSO for truss layout and size optimization with frequency constraints. Comput Struct 130:10–21
Konzelman CJ (1986) Dual methods and approximation concepts for structural optimization. M.Sc. thesis. Dept Mech Eng, University of Toronto, Canada
Sedaghati R (2006) Benchmark case studies in structural design optimization using the force method. Int J Solids Struct 42:5848–5871
Soh CK, Yang J (1996) Fuzzy controlled genetic algorithm search for shape optimization. J Comput Civil Eng ASCE 10:143–150
Kaveh A, Talatahari S (2009) Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures. Comput Struct 87:267–283
Xu B, Jiang J, Tong W, Wu K (2003) Topology group concept for truss topology optimization with frequency constraints. J Sound Vib 261(5):911–925
Wang YF, Sun HC (1995) Optimal topology designs of trusses with discrete size variables subjected to multiple constraint and loading cases. Acta Mech Sinica 27:365–369
Kaveh A, Ahmadi B (2014) Sizing, geometry and topology optimization of trusses using force method and supervised charged system search. Struct Eng Mech An Int J 50(3):365–382
Kutylowski R, Rasiak B (2014) The use of topology optimization in the design of truss and frame bridge girders. Struct Eng Mech An Int J 51(1):67–88
Kaveh A, Zolghadr A (2013) Topology optimization of trusses considering static and dynamic constraints using the CSS. Appl Soft Comput 13(5):27–34
Miguel LFF, Lopez RH, Miguel LFF (2013) Multimodal size, shape, and topology optimisation of truss structures using the firefly algorithm. Adv Eng Softw 56:23–37
Deb K, Gulati S (2001) Design of truss-structures for minimum weight using genetic algorithms. Finite Elem Anal Des 37(5):447–465
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Kaveh, A., Mahdavi, V.R. (2015). Optimal Design of Truss Structures with Continuous Variables Using Colliding Bodies Optimization. In: Colliding Bodies Optimization. Springer, Cham. https://doi.org/10.1007/978-3-319-19659-6_3
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DOI: https://doi.org/10.1007/978-3-319-19659-6_3
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