DOI QR코드

DOI QR Code

Topology optimization of the structure using multimaterial inclusions

  • 투고 : 2008.08.13
  • 심사 : 2009.08.17
  • 발행 : 2009.10.20

초록

In the literature the problem of the topology optimization of the structure is usually solved for one, clearly described from the mechanical point of view material. Generally the topology optimization answers the question of the distribution of this mentioned above material within the design domain. Finally, material-voids distribution it is obtained. In this paper, for the structure mainly strengthened or sometimes weakened by the inclusions, the variation approach of the topology optimization problem is formulated. This multi material approach may be useful for the design process of various mechanical or civil engineering structures which need to be more "refined" and more "optimal" than they can be using previous topology optimization procedures of optimization one material structures.

키워드

참고문헌

  1. Allaire, G. (2002), Shape Optimization by the Homogenized Method, Springer, Berlin, Heidelberg, New York
  2. Belytschko, T., Xiao, S.P. and Parimi, C. (2003), 'Topology optimization with implicit functions and regularization', Int. J. Numer. Meth. Eng., 57, 1177-1196 https://doi.org/10.1002/nme.824
  3. Bendsoe, M.P. (1989), 'Optimal shape design as a material distribution problem', Struct. Multidiscip. O., 1, 193-202 https://doi.org/10.1007/BF01650949
  4. Bendsoe, M.P. and Sigmund, O. (2003), Topology Optimization, Theory, Methods and Applications, Springer, Berlin, Heidelberg, New York
  5. Desu, N.B., Dutta, A. and Deb, S.K. (2007), 'Optimal assessment and location of tuned mass dampers for seismic response control of a plan-asymmetrical building', Struct. Eng. Mech., 26(4), 459-477
  6. Guan, H. (2005), 'Strut-and-tie model of deep beams with web openings - an optimization approach', Struct. Eng. Mech., 19(4), 361-379
  7. Hellmich, C., Ulm, F.J. and Dormieux, L. (2003), 'Homogenization of bone elasticity based on tissueindependend ('universal') phase properties', Proc. Appl. Math. Mech., 3, 56-59 https://doi.org/10.1002/pamm.200310315
  8. Kutylowski, R. (2000) 'On an effective topology procedure', Struct. Multidiscip. O., 20, 49-56 https://doi.org/10.1007/s001580050135
  9. Kutylowski, R. (2002) 'On nonunique solutions in topology optimization', Struct. Multidiscip. O., 23, 398-403 https://doi.org/10.1007/s00158-002-0200-8
  10. Ramm, E., Bletzinger, K.-U., Reitinger, R. and Maute, K. (1994), 'The challenge of structural optimization'. In: Topping, B.H.V., Papadrakakis, M. (ed) Advanced in Structural Optimization (Int. Conf. on Computational Structures Technology held in Athen), 27-52
  11. Rozvany, G.I.N., Zhou, M. and Birker, T. (1992), 'Generalized shape optimization without homogenization', Struct. Multidiscip. O., 4, 250-252 https://doi.org/10.1007/BF01742754
  12. Saxena, A. (2005), 'Topology design of large displacement compliant mechanisms withmultiple materials and multiple output ports', Struct. Multidiscip. O., 30, 477-490 https://doi.org/10.1007/s00158-005-0535-z
  13. Taylor, J.E. (2002), 'Perspectives on layout and topology design', Struct. Multidiscip. O., 24, 253-256 https://doi.org/10.1007/s00158-002-0236-9
  14. Yin, L. and Ananthasuresh, G.K. (2001), 'Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme', Struct. Multidiscip. O., 23, 49-62 https://doi.org/10.1007/s00158-001-0165-z
  15. Zhou, Z. and Wang, M.Y. (2007), 'Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition', Struct. Multidiscip. O., 33, 89-111 https://doi.org/10.1007/s00158-006-0035-9

피인용 문헌

  1. The use of topology optimization in the design of truss and frame bridge girders vol.51, pp.1, 2014, https://doi.org/10.12989/sem.2014.51.1.067
  2. Application of topology optimization to bridge girder design vol.51, pp.1, 2014, https://doi.org/10.12989/sem.2014.51.1.039
  3. An Explicit Construction of the Underlying Laminated Microstructure of the Least Compliant Elastic Bodies pp.03701972, 2018, https://doi.org/10.1002/pssb.201800039
  4. 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