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http://dx.doi.org/10.12989/sem.2011.38.4.517

Structural design using topology and shape optimization  

Lee, Eun-Hyung (Department of Civil & Environmental Engineering, Dankook University)
Park, Jaegyun (Department of Civil & Environmental Engineering, Dankook University)
Publication Information
Structural Engineering and Mechanics / v.38, no.4, 2011 , pp. 517-527 More about this Journal
Abstract
A topology optimization and shape optimization method are widely used in the design area of engineering field. In this paper, a unified procedure to combine both topology and shape optimization method is used. A material distribution method is used first to extract necessary design parameters of the structure and a shape optimization scheme using genetic algorithm and satisfying all the condition follows. As an example, a GFRP bridge deck is designed and compared with other commercial products. The performance of the designed deck shows that the used design procedure is very efficient and safe. This procedure can be generalized for using in other areas of engineering.
Keywords
topology optimization; shape optimization; genetic algorithm; minimum compliance design; GFRP deck;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
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1 Korea Institute of Construction Technology (2006), Development of Long-life Deck Systems for Bridges : FRP Deck, KICT, Korea.
2 KSCE (2008), Korea Highway Bridge Design Specification and Explanation, Korea Society of Civil Engineers.
3 Kutylowski, R. (2009), "Topology optimization of the structure using multimaterial inclusions", Struct. Eng. Mech., 33(3), 258-306.
4 Lee, J.S., Cho, H.N., Choi, Y.M., Kim, H.S. and Kim, H.Y. (2004), "Shape optimum design of pultruded FRP bridge decks", J. Comput. Struct. Eng. Inst. Korea, 17(3), 319-332.
5 Lee, E.H. (2009), "Design of a FRP deck using topology and shape optimization", M.E. Thesis, Dankook University, Korea.
6 Park, J., Choo, P. and Hong, K.J. (2008), "Design of a FRP bridge", Technical Report of Korea Bridge Design & Engineering Research Center, Seoul National University.
7 Qiao, P., Davalos, J.F. and Brown, B. (2000), "A systematic analysis and design approach for single-span FRP deck/stringer bridges", Compos. Part B-Eng., 31, 593-609.   DOI   ScienceOn
8 Suzuki, K. and Kikuchi, N. (1991), "A homogenization method for shape and topology optimization", Comput. Meth. Appl. Mech. Eng., 92(3), 291-318.
9 Wang, M.Y., Wang, X. and Guo, D. (2003), "A level set method for structural topology optimization", Comput. Meth. Appl. Mech. Eng., 192, 227-246.   DOI   ScienceOn
10 Zolesio, J.P. (1981), "The material derivative method for shape optimization", Optimization of Distributed Parameter Structures, Sijthoff & Noordhof, Netherlands, 1089-1151.
11 Ahn, I.C. (2007), "A study on the optimal FRP bridge deck using genetic algorithm", M.S. Thesis, Seoul National University, Korea.
12 Allaire, G. (1997), "The homogenization method for topology and shape optimization", Topology Optimization in Structural Mechanics, GISM, (Ed. Rozvany, G.I.N.), Springer Wien New York, New York.
13 Allaire, G. and Kohn, R.V. (1993), "Topology optimization and optimal shape design using homogenization", Topology Design of Structures, 207-218.
14 Bendsoe, M.P. and Harber, R. (1993), "The Michell layout problem as a low volume fraction limit of the homogenization method for topology design: An asymptotic study", Struct. Opti., 6, 263-267.   DOI   ScienceOn
15 Bendsoe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization methods", Comput. Meth. Appl. Mech. Eng., 71, 197-224.   DOI   ScienceOn
16 Bendsoe, M.P. and Sigmund, O. (2004), Topology Optimization, Springer.
17 Cassidy, P., Richards, D. and Gillespie, J. (2002), "Composite acting FRP deck and girder system", Struct. Eng. Int., 12(2), 71-75.   DOI   ScienceOn
18 Diaz, A.R. and Bendsoe, M.P. (1992), "Shape optimization of structures for multiple loading conditions using a homogenization method", Struct. Opti., 4, 17-22.   DOI
19 Haug, E.J., Choi, K.K. and Komkov, V. (1986), Design Sensitivity Analysis of Structural Systems, Academic Press.
20 Keller, T. (2003), Use of Fibre Reinforced Polymers in Bridge Construction, IABSE-AIPC-IVBH.
21 Keller, T. and Gurtler, H. (2006), "In-plane compression and shear performance of FRP bridge decks acting as top chord of bridge girders", Compos. Struct., 72, 151-162.   DOI   ScienceOn
22 Keller, T. and Schollmayer, M. (2004), "Plate bending behavior of a pultruded GFRP bridge deck system", Compos. Struct., 64, 285-295.   DOI   ScienceOn
23 Keller, T. and Schollmayer, M. (2006), "In-plane tensile performance of a cellular FRP bridge deck acting as top chord of continuous bridge girders", Compos. Struct., 72, 130-140.   DOI   ScienceOn
24 Kim, I.Y. and Kwak, B.M. (2002), "Design space optimization using a numerical design computation method", Int. J. Numer. Meth. Eng., 53(8), 1979-2002.   DOI   ScienceOn