Incremental method of Young modulus updating procedure in topology optimization

• Autorzy: Kutylowski R. , Rasiak B.
• Języki publikacji: EN

Abstrakty

EN

This paper presents a new Young modulus updating procedure as an extension to the SIMP method used for topology optimization. In essence, the modified Young modulus updating procedure consists in taking into account in a given optimization step not only the material density from the preceding step, but also the increment in density in the two preceding steps. Thanks to this, it is possible to obtain a solution in cases in which the classic SIMP method failed. The variational approach was adopted and the structure’s strain energy was minimized under constraints imposed on body mass. FEM was used to solve numerical examples. The numerical analysis confirmed the effectiveness of the proposed method, particularly for structures with relatively long spans.

Słowa kluczowe

EN

topology optimization; minimum compliance; new incremental method of updating Young modulus

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2012
• Tom: Vol. 60, nr 2
• Strony: 159--164
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Kutylowski R.

autor

Rasiak B.

• Institute of Civil Engineering, Wrocław University of Technology, 27 Wybrzeże Wyspiańskiego St., 50-370 Wrocław, Poland,

Bibliografia

• [1] M.P. Bendsøe “Optimal shape design as a material distribution problem”, Struct. Optim. 1 (4), 193–202 (1989).
• [2] M.P. Bendsøe and O. Sigmund, Topology Optimization, Theory, Methods and Applications, Springer, Berlin, 2003.
• [3] E. Ramm, K.-U. Bletzinger, R. Reitinger, and K. Maute, “The challenge of structural optimization”, Advanced in Structural Optimization, Int. Conf. on Computational Structures Technology 1, 27–52 (1994).
• [4] R. Kutyłowski and B. Rasiak, “Influence of various design parameters on the quality of optimal shape design in topology optimization analysis”, Proc. in Applied Mathematics and Mechanics (PAMM) 8, 10797–10798 (2008), http://dx.doi.org/10.1002/pamm.2008/10797.
• [5] R. Kutyłowski, “On nonunique solutions in topology optimization”, Struct. Mult. Optim. 23 (5), 389–403 (2002).
• [6] J.M. Guedes and J.E. Taylor “On the prediction of material properties and topology for optimal continuum structure”, Struct. Mult. Optim. 14 (2–3), 193–199 (1997).