Structural Engineering and Mechanics

  • 제51권5호
  • /
  • Pages.793-808
  • /
  • 2014
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Topological material distribution evaluation for steel plate reinforcement by using CCARAT optimizer

  • Lee, Dongkyu (Department of Architectural Engineering, Sejong University) ;
  • Shin, Soomi (Research Institute of Industrial Technology, Pusan National University) ;
  • Park, Hyunjung (Division of Architecture, Silla University) ;
  • Park, Sungsoo (Department of Architectural Engineering, Pusan National University)
  • 투고 : 2012.06.02
  • 심사 : 2014.06.23
  • 발행 : 2014.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

The goal of this study is to evaluate and design steel plates with optimal material distributions achieved through a specific material topology optimization by using a CCARAT (Computer Aided Research Analysis Tool) as an optimizer, topologically optimally updating node densities as design variables. In typical material topology optimization, optimal topology and layouts are described by distributing element densities (from almost 0 to 1), which are arithmetic means of node densities. The average element densities are employed as material properties of each element in finite element analysis. CCARAT may deal with material topology optimization to address the mean compliance problem of structural mechanical problems. This consists of three computational steps: finite element analysis, sensitivity analysis, and optimality criteria optimizer updating node densities. The present node density based design via CCARAT using node densities as design variables removes jagged optimal layouts and checkerboard patterns, which are disadvantages of classical material topology optimization using element densities as design variables. Numerical applications that topologically optimize reinforcement material distribution of steel plates of a cantilever type are studied to verify the numerical superiority of the present node density based design via CCARAT.

키워드

과제정보

연구 과제 주관 기관 : National Research Foundation of Korea (NRF)

참고문헌

  1. Hagishita, T. and Ohsaki, M. (2009), "Topology optimization of trusses by growing ground structure method", Struct. Multidiscip. Opt., 37(4), 377-393. https://doi.org/10.1007/s00158-008-0237-4
  2. Ali, M.A. and White, R.N. (2001), "Automatic generation of truss model of optimal design of reinforced concrete structures", ACI Struct. J., 98(4), 431-442.
  3. Biondini, F. and Bontempi, F. and Malerba, P.G. (2001), "Stress path adapting strut-and-tie models in cracked and uncracked R.C. elements", Struct. Eng. Mech., 12(6), 685-698. https://doi.org/10.12989/sem.2001.12.6.685
  4. Andreassen, E., Clausen, A., Schevenels, M., Lazarov, B.S. and Sigmund, O. (2011), "Efficient topology optimization in MATLAB using 88 lines of code", Struct. Multidiscip. Opt., 43(1), 1-16. https://doi.org/10.1007/s00158-010-0594-7
  5. Bendsoe, M.P. and Kikuchi, N. (1988), "Generating Optimal Topologies in Optimal Design using a Homogenization Method", Comput. Methods Appl. Mech. Eng., 71, 197-224. https://doi.org/10.1016/0045-7825(88)90086-2
  6. Amstutz, S. (2011), "Connections between topological sensitivity analysis and material interpolation scheme in topology optimization", Struct. Multidiscip. Opt., 43(6), 755-765. https://doi.org/10.1007/s00158-010-0607-6
  7. Gerzen, N. and Barthold, F.J. (2012), "Enhanced analysis of design sensitivities in topology optimization", Struct. Multidiscip. Opt., 46(4), 585-595. https://doi.org/10.1007/s00158-012-0778-4
  8. Haug, E.J., Choi, K.K. and Komkov, V. (1986), Design Sensitivity Analysis of Structural Systems, Academic Press, New York.
  9. Ma, J., Wang, M.Y. and Zhu, X. (2011), "Compliant fixture layout design using topology optimization method", IEEE International Conference on Robotics and Automation, ICRA 2011, Shanghai, China.
  10. Byun, J.K., Lee, J.H. and Park, I.H. (2004), "Node Based Distribution of Material Properties for Topology Optimization of Electromagnetic Devices", IEEE Tran. Magnet., 40(2), 1212-1215. https://doi.org/10.1109/TMAG.2004.824728
  11. Sigmund, O. (2001), "A 99 topology optimization code written in Matlab", Struct. Multidisc. Optim., 21, 120-127. https://doi.org/10.1007/s001580050176
  12. Maute, K. and Ramm, E. (1995), "Adaptive topology optimization", Struct. Optim., 10, 100-112. https://doi.org/10.1007/BF01743537
  13. Gunwant, D. and Misra, A. (2012), "Topology optimization of continuum structures using optimality criterion approach in ANSYS", Int. J. Adv. Eng. Tech., 5(1), 470-485.
  14. Patnaik, S.N., Guptill, D.J. and Berke, L. (1995), "Merits and limitations of optimality criteria method for structural optimization", Int. J. Numer. Method. Eng., 38, 3087-3120. https://doi.org/10.1002/nme.1620381806
  15. CARAT (2000), Programsystem CARAT, Eingabebeschreibung und Dokumentation, Unveroeffentlichter Bericht des Institute fuer Baustatik, Universitaet Stuttgart.
  16. Tiyyagura, S.R. and Von Scheven, M. (2007), "FSI simulations on vector systems-development of a linear iterative solver (BLIS)", High Perform. Comput. Vec. Syst., 167-177.
  17. Chan, C.M. and Wong, K.M. (2008), "Structural topology and element sizing design optimization of tall steel frameworks using a hybrid OC-GA method", Struct. Multidisc. Optim., 35(5), 473-488. https://doi.org/10.1007/s00158-007-0151-1
  18. Chan, C.M. (2005), "An optimality criteria algorithm for tall steel building design using commercial standard sections", Struct. Multidisc. Optim., 5(1-2), 26-29.
  19. Huang, X. and Xie, Y.M. (2010), "Evolutionary topology optimization of continuum structures with an additional displacement constraint", Struct. Eng. Mech., 34(5), 581-595. https://doi.org/10.12989/sem.2010.34.5.581
  20. Otomiri, M., Andkjaer, J., Sigmund, O., Izui, K. and Nishiwaki, S. (2012), "Inverse design of dielectric materials by topology optimization", Prog. Electrom. Res., 127, 93-120. https://doi.org/10.2528/PIER12020501
  21. Lee, D.K., Lee, J.H. and Ahn, N.S. (2014), "Generation of structural layout in use for "0-1" material considering n-order eigenfrequency dependence", Mater. Res. Innov., 18(2), 833-839.
  22. Lee, D.K., Lee, J.H., Lee, K.H. and Ahn, N.S. (2014), "Evaluating topological optimized layout of building structures by using nodal material density based bilinear interpolation", J. Asian Arch. Build. Eng., 13(2), 421-428. https://doi.org/10.3130/jaabe.13.421

피인용 문헌

  1. Material distribution optimization of 2D heterogeneous cylinder under thermo-mechanical loading vol.53, pp.4, 2015, https://doi.org/10.12989/sem.2015.53.4.703
  2. Automatic Position Information of Web-Openings of Building Using Minimized Strain Energy Topology Optimization vol.2015, 2015, https://doi.org/10.1155/2015/624762
  3. A constant strain triangle element oriented multi-material topology optimization with a moved and regularized Heaviside function vol.79, pp.1, 2021, https://doi.org/10.12989/sem.2021.79.1.097