Browse > Article

Structural Topology Optimization Using Two-level Dynamic Condensation Scheme  

Park Soo-Hyun (서울대학교 기계항공공학부 대학원)
Kim Hyun-Gi (서울대학교 기계항공공학부 대학원)
Cho Maeng-Hyo (서울대학교 기계항공공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.19, no.2, 2006 , pp. 213-219 More about this Journal
Abstract
Topology optimization problem requires numerous repeated evaluations of objective function and design sensitivity for elements within design domain with various density distributions. The recently proposed two-level condensation scheme(TLCS) is very promising for the construction of reduced system and for an accurate and efficient analysis concerned about eigenvalue and dynamic problems. We used the two-level dynamic condensation scheme for the analysis and sensitivity computation part in the structural topology optimization problem. The results of the topology optimization for the reduced system show the TLCS provides high accuracy and computation efficiency compared to the full scale system within engineering accuracy.
Keywords
Topology optimization; Reduced System; Two-level dynamic condensation scheme; Modal Assurance Criterion;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Henshell, R.D., Ong, J.H. (1975) Automatic masters from eigenvalues economization. J. Earthquake Equ. and Struct. Dvti., 3, pp.37 5-383
2 Kim, T. S., Kim, Y. Y. (2000) Mac-based mode-tracking in structural topology optimization. Computers and Structures, 74, pp.375-383   DOI   ScienceOn
3 Shah, V.N., Ravmund,M. (1982) Analytical selection of masters for the reduced eigenvalue problem. Int.J.Numer.Mech.Engng., 18(1), pp.89-98   DOI   ScienceOn
4 Suzuki, K., Kikuchi, N. (1991) A homogenization method for shape and topology optimization, Comput. Meth. Appl. Mech. Engng., 93, pp.291-318   DOI   ScienceOn
5 Kim, H.G., Cho, M.H. (2006) Two-Level scheme for selection of primary degrees of freedom and semi-analytic sensitivity based on the reduced system, Comput.Methods.Appl. Mecb.Ens., 195, pp .4244-4268   DOI   ScienceOn
6 Cho, M. H., Kim, H.G. (2004) Element-based node selection method for reduction of eigenvalue problems, AIAA J, 42(8), pp.1677-1684   DOI   ScienceOn
7 Bendsoe, M. P., Kikuchi, N. (1988) Generating optimal topologies in structural design using a homogenization method. Comput.Methods.Appl. Mech. Eng., 71. pp.197-224   DOI   ScienceOn
8 Ma, Z. D., Kikuchi, N.. Hagiwara, I. (1992) Structural topology and shape optimization for a frequency response problem, Comput.Mech., 13, pp.157-174   DOI
9 Eldred, M. S., Venkayya, V. B., Anderson. W. J. (1995) Mode tracking issues in structural optimization, AIAA J., 33, pp.1926-1933   DOI   ScienceOn
10 Kim, K.O., Choi, Y.J. (2000) Energy method for selection of degrees of freedom in condensation, AIAA J, 38(7), pp.1253-1259   DOI   ScienceOn