Benchmark problems in structural optimization

Studies in Computational Intelligence

Volumn 356, Issue , 2011, Pages 259-281

  Gandomi, Amir Hossein ^a   Yang, Xin She ^b  

^a The University of Akron   (United States)

^b NATIONAL PHYSICAL LABORATORY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961058136     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-20859-1_12     Document Type: Article

References (62)

1. Iyengar, N.G.R.: Optimization in Structural design. DIRECTIONS, IIT Kanpur 6, 41-47 (2004)
2. Goldberg, D.E.: Genetic Algorithms in Search. In: Optimization and Machine Learning. Addison-Wesley, Reading (1989)
3. McCulloch, W.S., Pitts, W.: A logical calculus of the idea immanent in nervous activity. Bulletin of Mathematical Biophysics 5, 115-133 (1943)
4. Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, Nagoya, Japan (1995)
5. Yang, X.S.: Nature-Inspired Metaheuristic Algorithms. Luniver Press (2008)
6. Yang, X.S., Deb, S.: Cuckoo search via Levy flights. In: World Congress on Nature & Biologically Inspired Computing (NaBIC 2009), pp. 210-214. IEEE publication, Los Alamitos (2009)
7. Stolpe, M.: Global optimization of minimum weight truss topology problem with stress, displacement, and local buckling constraints using branch-and-bound. International Journal For Numerical Methods In Engineering 61, 1270-1309 (2004) (Pubitemid 39428577)
8. Lamberti, L., Pappalettere, C.: Move limits definition in structural optimization with sequential linear programming. Part II: Numerical examples, Computers and Structures 81, 215-238 (2003)
9. Kaveh, A., Talatahari, S.: Size optimization of space trusses using Big Bang-Big Crunch algorithm. Computers and Structures 87, 1129-1140 (2009)
10. Kaveh, A., Talatahari, S.: Optimal design of skeletal structures via the charged system search algorithm. Struct. Multidisc. Optim. 41, 893-911 (2010)
11. Gandomi, A.H., Yang, X.S., Talatahari, S.: Optimum Design of Steel Trusses using Cuckoo Search Algorithm (submitted for publication)
12. Floudas, C.A., Pardolos, P.M.: Encyclopedia of Optimization, 2nd edn. Springer, Heidelberg (2009)
13. Maglaras, G., Ponslet, E., Haftka, R.T., Nikolaidis, E., Sensharma, P., Cudney, H.H.: Analytical and experimental comparison of probabilistic and deterministic optimization (structural design of truss structure). AIAA Journal 34(7), 1512-1518 (1996) (Pubitemid 126524987)
14. Hasançebi, O., Çarbas, S., Dogan, E., Erdal, F., Saka, M.P.: Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures. Computers and Structrures, 284-302 (2009)
15. Lee, K.S., Geem, Z.W.: A new structural optimization method based on the harmony search algorithm. Comput. Struct. 82, 781-798 (2004)
16. Iranmanesh, A., Kaveh, A.: Structural optimization by gradient-based neural networks. Int. J. Numer. Meth. Engng. 46, 297-311 (1999)
17. Kirsch, U.: Optimum Structural Design, Concepts, Methods and Applications. McGraw-Hill, New York (1981)
18. Lemonge, A.C.C., Barbosa, H.J.C.: An adaptive penalty scheme for genetic algorithms in structural optimization. Int. J. Numer. Meth. Engng. 59, 703-736 (2004) (Pubitemid 38187977)
19. Rao, S.S.: Engineering Optimization, 3rd edn. Wiley, New York (1996)
20. Patnaik, S.N., Gendys, A.S., Berke, L., Hopkins, D.A.: Modified fully utilized design (mfud) method for stress and displacement constraints. Int. J. Numer. Meth. Engng. 41, 1171-1194 (1998) (Pubitemid 128570844)
21. Kaveh, A., Rahami, H.: Analysis, design and optimization of structures using force method and genetic algorithm. Int. J. Numer. Meth. Engng. 65, 1570-1584 (2006) (Pubitemid 43273590)
22. Sonmez, M.: Discrete optimum design of truss structures using artificial bee colony algorithm. Struct. Multidisc. Optim. 43, 85-97 (2011)
23. Sedaghati, R.: Benchmark case studies in structural design optimization using the force method. International Journal of Solids and Structures 42, 5848-5871 (2005) (Pubitemid 41084832)
24. AISC-ASD Manual of steel construction-allowable stress design. 9th edn., American Institute of Steel Construction, Chicago (1989)
25. Dede, T., Bekiroglu, S., Ayvaz, Y.: Weight minimization of trusses with genetic algorithm (2011), doi:10.1016/j.asoc.2010.10.006
26. Genovese, K., Lamberti, L., Pappalettere, C.: Improved global-local simulated annealing formulation for solving non-smooth engineering optimization problems. International Journal of Solids and Structures 42, 203-237 (2005)
27. Korycki, J., Kostreva, M.: Norm-relaxed method of feasible directions: application in structural optimization. Structural Optimization 11, 187-194 (1996) (Pubitemid 126650416)
28. Lamberti, L.: An efficient simulated annealing algorithm for design optimization of truss structures. Computers and Structures 86, 1936-1953 (2008)
29. Hasancebi, O., Erbatur, F.: On efficient use of simulated annealing in complex structural optimization problems. Acta. Mech. 157, 27-50 (2002)
30. Hasancebi, O.: Adaptive evolution strategies in structural optimization: Enhancing their computational performance with applications to large-scale structures. Comput. Struct. 86, 119-132 (2008) (Pubitemid 350251543)
31. Adeli, H., Cheng, N.T.: Concurrent genetic algorithms for optimization of large structures. J. Aerospace Eng. 7, 276-296 (1994)
32. Zhang, M., Luo, W., Wang, X.: Differential evolution with dynamic stochastic selection for constrained optimization. Information Sciences 178, 3043-3074 (2008)
33. Coello, C.A.C.: Constraint-handling using an evolutionary multiobjective optimization technique. Civil Engineering and Environmental Systems 17, 319-346 (2000)
34. Deb, K.: An efficient constraint handling method for genetic algorithms. Computer Methods in Applied Mechanics and Engineering 186, 311-338 (2000)
35. Deb, K., Goyal, M.: A combined genetic adaptive search (GeneAS) for engineering design. Comput. Sci. Informatics 26(4), 30-45 (1996)
36. Coello, C.A.C., Hernandez, F.S., Farrera, F.A.: Optimal Design of Reinforced Concrete Beams Using Genetic Algorithms. Expert systems with Applications 12(1), 101-108 (1997) (Pubitemid 127666652)
37. Saini, B., Sehgal, V.K., Gambhir, M.L.: Genetically Optimized Artificial Neural Network Based Optimum Design Of Singly And Doubly Reinforced Concrete Beams. Asian Journal of Civil Engineering (Building And Housing) 7(6), 603-619 (2006)
38. Amir, H.M., Hasegawa, T.: Nonlinear mixed-discrete structural optimization. J. Struct. Engng. 115(3), 626-645 (1989)
39. ACI 318-77, Building code requirements for reinforced concrete. American Concrete Institute, Detroit, Mich (1977)
40. Liebman, J.S., Khachaturian, N., Chanaratna, V.: Discrete structural optimization. J. Struct. Div. 107(ST11), 2177-2197 (1981) (Pubitemid 12429733)
41. Gandomi, A.H., Yang, X.S., Alavi, A.H.: Mixed Discrete Structural Optimization Using Firefly Algorithm (2010) (submitted for publication)
42. Sandgren, E.: Nonlinear Integer and Discrete Programming in Mechanical Design Optimization. J. Mech. Design 112(2), 223-229 (1990) (Pubitemid 20710153)
43. Arora, J.S.: Introduction to Optimum Design. McGraw-Hill, New York (1989)
44. Aragon, V.S., Esquivel1, S.C., Coello, C.A.C.: A modified version of a T-Cell Algorithm for constrained optimization problems. Int. J. Numer. Meth. Engng. 84, 351-378 (2010)
45. Coello, C.A.C.: Self-adaptive penalties for GA based optimization. In: Proceedings of the Congress on Evolutionary Computation, vol. 1, pp. 573-580 (1999)
46. Gandomi, A.H., Yang, X.S., Alavi, A.H.: Bat Algorithm for Solving Nonlinear Constrained Engineering Optimization Tasks(2010) (submitted for publication)
47. Gandomi, A.H., Yang, X.S., Alavi, A.H.: Cuckoo Search Algorithm: A Metaheuristic Approach to Solve Structural Optimization Problems (2010) (submitted for publication)
48. Golinski, J.: An adaptive optimization system applied to machine synthesis. Mech. Mach. (1973)
49. Akhtar, S., Tai, K., Ray, T.: A socio-behavioural simulation model for engineering design optimization. Eng. Optmiz. 34(4), 341-354 (2002) (Pubitemid 35263135)
50. Kuang, J.K., Rao, S.S., Chen, L.: Taguchi-aided search method for design optimization of engineering systems. Eng. Optmiz. 30, 1-23 (1998) (Pubitemid 128628105)
51. Yang, X.S., Gandomi, A.H.: Bat Algorithm: A Novel Approach for Global Engineering Optimization (2011) (submitted for publication)
52. Thanedar, P.B., Vanderplaats, G.N.: Survey of discrete variable optimization for structural design. Journal of Structural Engineering 121(2), 301-305 (1995)
53. Huang, M.W., Arora, J.S.: Optimal Design With Discrete Variables: Some Numerical Experiments. International Journal for Numerical Methods in Engineering 40, 165-188 (1997) (Pubitemid 127571730)
54. Vanderplaats, G.N.: Very Large Scale Optimization. NASA/CR-2002 211768 (2002)
55. Degertekin, S.O.: Optimum design of steel frames using harmony search algorithm. Struct. Multidisc. Optim. 36, 393-401 (2008)
56. Greiner, D., Emperador, J.M., Winter, G.: Single and multiobjective frame optimization by evolutionary algorithms and the auto-adaptive rebirth operator. Computer Methods in Applied Mechanics and Engineering 193(33-35), 3711-3743 (2004) (Pubitemid 38927179)
57. Hasançebi, O., Çarbas, S., Dogan, E., Erdal, F., Saka, M.P.: Comparison of non-deterministic search techniques in the optimum design of real size steel frames. Computers and Structures 88, 1033-1048 (2010)
58. Khot, N.S., Venkayya, V.B., Berke, L.: Optimum structural design with stability constraints. Int. J. Numer. Methods Eng. 10, 1097114 (1976)
59. Kaveh, A., Shojaee, S.: Optimal design of skeletal structures using ant colony optimisation. Int. J. Numer. Methods Eng. 5(70), 563-581 (2007) (Pubitemid 46692264)
60. Camp, C.V., Pezeshk, S., Cao, G.: Optimized design of two dimensional structures using a genetic algorithm. J. Struct. Eng. ASCE 124(5), 551-559 (1998) (Pubitemid 128606397)
61. Alimoradi, A., Foley, C.M., Pezeshk, S.: Benchmark problems in structural design and performance optimization: past, present and future-part I. In: Senapathi, S., Hoit, C.K. (eds.) 19th ASCE Conf. Proc., State of the Art and Future Challenges in Structure. ASCE Publications (2010)
62. Yang, X.S.: Engineering Optimization: An Introduction with Metaheuristic Applications. John Wiley and Sons, Chichester (2010)