Smart Structures and Systems

  • 제22권3호
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  • Pages.249-257
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  • 2018
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Topology optimization of multiphase elastic plates with Reissner-Mindlin plate theory

  • Banh, Thanh T. (Department of Architectural Engineering, Sejong University) ;
  • Lee, Dongkyu (Department of Architectural Engineering, Sejong University) ;
  • Lee, Jaehong (Department of Architectural Engineering, Sejong University) ;
  • Kang, Joowon (Department of Architecture, Yeungnam University) ;
  • Shin, Soomi (Research Institute of Industrial Technology, Pusan National University)
  • 투고 : 2017.12.20
  • 심사 : 2018.06.18
  • 발행 : 2018.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

This study contributes to evaluate multiphase topology optimization design of plate-like elastic structures with constant thickness and Reissner-Mindlin plate theory. Stiffness and adjoint sensitivity formulations linked to Reissner-Mindlin plate potential energy of bending and shear are derived in terms of multiphase design variables. Multiphase optimization problem is solved through alternative active-phase algorithm with Gauss-Seidel version as an optimization model of optimality criteria. Numerical examples verify efficiency and diversity of the present topology optimization method of Reissner-Mindlin elastic plates depending on multiphase and Poisson's ratio.

키워드

과제정보

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

참고문헌

  1. Alonso, C., Ansola, R. and Querin, O.M. (2014), "Topology synthesis of multi-material compliant mechanisms with a sequential element rejection and admission method", Finite Elem. Anal. Des., 85, 11-19. https://doi.org/10.1016/j.finel.2013.11.006
  2. 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. O., 43(1), 1-16. https://doi.org/10.1007/s00158-010-0594-7
  3. Banh, T.T. and Lee, D.K. (2018), "Multi-material topology optimization design for continuum structures with crack patterns", Compos. Struct., 186, 193-209. https://doi.org/10.1016/j.compstruct.2017.11.088
  4. Belblidiaa, F., Lee, J.E.B., Rechakb, S. and Hinton, E. (2001), "Topology optimization of plate structures using a single- or three-layered artificial material model", Adv. Eng. Softw., 32, 159-168. https://doi.org/10.1016/S0045-7949(00)00141-3
  5. Bendsoe, M. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization method", Comput. Method. Appl. M., 71(2), 197-224. https://doi.org/10.1016/0045-7825(88)90086-2
  6. Bendsoe, M.P. and Sigmund, O. (1999), "Material interpolation schemes in topology optimization", Arch. Appl. Mech., 69, 635-654. https://doi.org/10.1007/s004190050248
  7. Blasques, J.P. and Stolpe, M. (2012), "Multi-material topology optimization of laminated composite beam cross sections", Compos. Struct., 94(11), 3278-3289. https://doi.org/10.1016/j.compstruct.2012.05.002
  8. Chen, Y., Zhou, S. and Li, Q. (2009), "Computational design for multifunctional microstructural composites", Int. J. Modern Phys. B, 23, 1345-1351. https://doi.org/10.1142/S0217979209060920
  9. Chen, Y., Zhou, S. and Li, Q. (2010), "Multiobjective topology optimization for finite periodic structures", Comput. Struct., 88, 806-811. https://doi.org/10.1016/j.compstruc.2009.10.003
  10. Goncalves, J.F., Fonseca, J.S. and Silveira, O.A. (2016), "A controllability-based formulation for the topology optimization of smart structures", Smart Struct. Syst., 17(5), 773-793. https://doi.org/10.12989/sss.2016.17.5.773
  11. Goo, S.Y., Wang, S.Y., Hyun, J.Y. and Jung, J.S. (2016), "Topology optimization of thin plate structures with bending stress constraints", Comput. Struct., 175, 134-143. https://doi.org/10.1016/j.compstruc.2016.07.006
  12. Kutylowski, R. and Szwechlowicz, M. (2013), "Special kind of multimaterial topology optimization", Arch. Civil. Mech. Eng., 13, 334-344. https://doi.org/10.1016/j.acme.2013.04.001
  13. Lee, D. and Shin, S. (2015a), "Optimising node density-based structural material topology using eigenvalue of thin steel and concrete plates", Mater. Res. Innov., 19, 1241-1245. https://doi.org/10.1179/1432891715Z.0000000001478
  14. Lee, D. and Shin, S. (2015b), "Optimising structural topology patterns using regularization of heaviside function", Struct. Eng. Mech., 55(6), 1157-1176. https://doi.org/10.12989/sem.2015.55.6.1157
  15. Lee, D., Kim, Y.W., Shin, S.M. and Lee, J.H. (2016), "Real-time response assessment in steel frame remodeling using positionadjustment drift-curve formulations", Automat. Constr., 62, 57-67. https://doi.org/10.1016/j.autcon.2015.11.002
  16. Liu, J. and Ma, Y. (2016), "A survey of manufacturing oriented topology optimization methods", Adv. Eng. Softw., 100, 161-175. https://doi.org/10.1016/j.advengsoft.2016.07.017
  17. Lund, E. (2009), "Buckling topology optimization of laminated multi-material composite shell structures", Compos. Struct., 91(2), 158-167. https://doi.org/10.1016/j.compstruct.2009.04.046
  18. Noha, J.Y. and Yoon, G.H. (2012), "Topology optimization of piezoelectric energy harvesting devices considering static and harmonic dynamic loads", Adv. Eng. Softw., 53, 45-60. https://doi.org/10.1016/j.advengsoft.2012.07.008
  19. Olyaie, M.S. and Razfar, M. (2013), "Numerical characterizations of a piezoelectric micromotor using topology optimization design", Smart Struct. Syst., 11(3), 241-259. https://doi.org/10.12989/sss.2013.11.3.241
  20. Sigmund, O. and Torquato (1997), "Design of materials with extreme thermal expansion using a three-phase topology optimization method", J. Mech. Phys. Solids, 45, 1037-1067. https://doi.org/10.1016/S0022-5096(96)00114-7
  21. Tavakoli, R. and Mohseni, S. (2014), "Alternating active-phase algorithm for multimaterial topology optimization problems: a 115-line matlab implementation", Struct. Multidiscip. O., 49, 621-642. https://doi.org/10.1007/s00158-013-0999-1
  22. Vatanabea, S.L., Lippia, T.N., de Limab, C.R., Paulinoc, G.H. and Silva, E.C. (2016), "Topology optimization with manufacturing constraints: A unified projection-based approach", Adv. Eng. Softw., 100, 97-112. https://doi.org/10.1016/j.advengsoft.2016.07.002
  23. Xia, Q. and Wang, M.Y. (2008), "Topology optimization of thermoelastic structures using level set method", Comput. Mech., 42, 837-857. https://doi.org/10.1007/s00466-008-0287-x
  24. Yan, K., Cheng, G. and Wang, B.P. (2016), "Topology optimization of plate structures subject to initial excitations for minimum dynamic performance index", Struct. Multidiscip. O., 53, 623-633. https://doi.org/10.1007/s00158-015-1350-9
  25. Yun, K.S. and Youn, S.K. (2017), "Multi-material topology optimization of viscoelastically damped structures under timedependent loading", Finite Elem. Anal. Des., 123, 9-18. https://doi.org/10.1016/j.finel.2016.09.006
  26. Zhou, S. and Wang, M. (2006), "3D multi-material structural topology optimization with the generalized cahn-hilliard equations", Comput. Model. Eng. Sci., 16, 83-101.
  27. Zhou, S. and Wang, M. (2007), "Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition", Struct. Multidiscip. O., 33, 89-111.