Topology Optimization of the Inner Reinforcement of a Vehicle's Hood using Reliability Analysis

신뢰성 해석을 이용한 차량 후드 보강재의 위상최적화

  • Received : 2010.07.19
  • Accepted : 2010.10.01
  • Published : 2010.10.15

Abstract

Reliability-based topology optimization (RBTO) is to get an optimal topology satisfying uncertainties of design variables. In this study, reliability-based topology optimization method is applied to the inner reinforcement of vehicle's hood based on BESO. A multi-objective topology optimization technique was implemented to obtain optimal topology of the inner reinforcement of the hood. considering the static stiffness of bending and torsion as well as natural frequency. Performance measure approach (PMA), which has probabilistic constraints that are formulated in terms of the reliability index, is adopted to evaluate the probabilistic constraints. To evaluate the obtained optimal topology by RBTO, it is compared with that of DTO of the inner reinforcement of the hood. It is found that the more suitable topology is obtained through RBTO than DTO even though the final volume of RBTO is a little bit larger than that of DTO. From the result, multiobjective optimization technique based on the BESO can be applied very effectively in topology optimization for vehicle's hood reinforcement considering the static stiffness of bending and torsion as well as natural frequency.

Keywords

References

  1. BendsOe, M. P. and Kikuchi, N., 2004, "Generating Optimal Topologies in Structural Design Using a Homogenization Method," Compo Methods Appl. Mech. Eng. Vol. 71, pp. 197-224.
  2. Rietz, A., 2001, "Sufficiency of a finite exponent in SIMP (power law) methods," Struct. Multidiscip. Optim., Vol. 21, pp. 159-163. https://doi.org/10.1007/s001580050180
  3. Chu, D. N., Xie, Y. M., Hira, A., and Steven, G. P., 1996, "Evolutionary Structural Optimization for problems with stiffness constraints," Finite Element in Analysis and Design, Vol. 21, pp. 239-251. https://doi.org/10.1016/0168-874X(95)00043-S
  4. Xie, Y. M. and Steven, G. P., 1997, Evolutinary Structural Optimization, Springer-Verlog, London.
  5. Yang, X. Y., Xie, Y. M., Steven, G. P., and Querin, O. M., 1999, "Bi-directional Evolutio- nary Method for Stiffness Optimization," AlAA Journal, Vol. 37, No. 11, pp. 1483-1488.
  6. Hung, X. and Xie, Y. M., 2007, "Convergent and mesh-independent solutions for the bi- directional evolutionary structural optimization method," Finite Elements in Analysis and Design, Vol. 43, pp. 1039-1049. https://doi.org/10.1016/j.finel.2007.06.006
  7. Kim, C. I., Wang, S. M., Bae, K. R. Moon, H. G., and Choi, K. K., 2006, "Reliability-based Topology Optimization with Uncertainties," Journal of Mechanical Science and Technology, Vol. 20, No. 4, pp. 557-564.
  8. Wang, S. M., Moon, H. G., Kim, C. I. Kang, J. N., and Choi, K. K., 2006, "Reliability-based Topology Optimization," JUTAM Symposium on Topological Design Opimization of Structures, Machines and Materials: Status and Perspectives, pp. 493-504.
  9. Choi, S. H., Kim, S. R., Park, J. Y., and Han, S. Y., 2007, "Multi-Objective Optimization of The Inner Reinforcement for a Vehicle's Hood Considering Static Stiffness and Natural Frequency," International Journal of Automotive Technology, Vol. 8.
  10. Hasofer, A. M. and Lind, N. C., 1974, "Exact and Invariant Second-Moment Code Format," J. of Engineering Mechanics, ASCE, Vol. 100, pp. 111-121.
  11. Haldar, A and Mahadevan, S., 2000, Probability, Reliability and Statistical Methods in Engineering Design, John Wiley & Sons, New york.
  12. Park, J. Y., Lim, M. K., Oh, Y. K., Park, J. Y., and Han, S. Y., 2010, "Structural Optimization using Reliability Analysis," J. of KSMTE, Vol. 19, No. 2, pp. 224-229.