Reliability-Based Topology Optimization Using Single-Loop Single-Vector Approach

단일루프 단일벡터 방법을 이용한 신뢰성기반 위상최적설계

  • 방승현 (한양대학교 대학원 기계설계학과) ;
  • 민승재 (한양대학교 기계공학부)
  • Published : 2006.08.01


The concept of reliability has been applied to the topology optimization based on a reliability index approach or a performance measure approach. Since these approaches, called double-loop single vector approach, require the nested optimization problem to obtain the most probable point in the probabilistic design domain, the time for the entire process makes the practical use infeasible. In this work, new reliability-based topology optimization method is proposed by utilizing single-loop single-vector approach, which approximates searching the most probable point analytically, to reduce the time cost. The results of design examples show that the proposed method provides efficiency curtailing the time for the optimization process and accuracy satisfying the specified reliability.


  1. Chen, X., Hasselman, T. K. and Neill, D. J., 1997, 'Reliability-Based Structural Design Optimization For Practical Applications,' AIAA-97-1403
  2. Song, Y. J., Min, S. and Kikuchi, N., 1999, Finite Element Method and Structural Optimization CAE, SungAnDang, pp. 323-358
  3. Bendsoe, M. P. and Sigmund, O., 1999, 'Material Interpolation Schemes in Topology Optimization,' Archive of Applied Mechanics, Vol. 69, pp. 635-654
  4. Marti, K. and Stocle, G., 1999, 'Optimal (topology) Design Under Stochastic Uncertainty,' Safety and Reliability, Vol. 2, pp 1597-1602
  5. Bae, K., Wang, S. and Choi, K., 2002, 'Reliability-Based Topology Optimization,' Proc. 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA-2002-5542
  6. Bae, K. and Wang, S., 2002, 'Reliability-Based Topology Optimization,' Proc. KSME 2002 Fall Annual Meeting, pp. 1013-1017
  7. Maute, K., Frangopol, D.M., 2003, 'Reliability-Based Design of MEMS Mechanisms by Topology Optimization,' Computers & Structures, Vol. 81, pp. 813-824
  8. Jeung, R., 2003, 'Design Sensitivity Analysis and Topology Optimization of Geometrically Nonlinear Structures,' Ph.D. Dissertation, Seoul National University, Seoul, Korea
  9. Choi, J. R., Lee, S. J. and Choi, D. H., 1999, 'Reliability Based Tolerance Optimization of Mechanisms,' Transactions of the KSME, A, Vol. 23, No. 5, pp. 751-762
  10. Lee, S. M., Yun, K. O., Chang, Y. S., Choi, J. B. and Kim, Y. J., 2005, 'Probabilistic Damage Mechanics Assessment of Wall-Thinned Nuclear Piping Using Reliability Method and Monte-Carlo Simulation,' Transactions of the KSME, A, Vol.29, No.8, pp. 1102-1108
  11. Du, X. and Chen, W., 2000, 'Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design,' ASME Journal of Mechanical Design, Vol. 122, pp. 385-394
  12. Olhoff, N., Bendsee, M. P. and Rasmussen, J., 1991, 'On CAD-Integrated Structural Topology and Design Optimization,' Computer Methods in Applied Mechanics and Engineering, Vol. 89, pp. 259-279