A Basic Study of Crashworthiness Optimization Using Homogenization Method(II)

균질화법을 이용한 충돌 최적화 기초 연구(II)

  • 조용범 (서울대학교 기계항공공학부 대학원) ;
  • 신효철 (서울대학교 기계항공공학부)
  • Published : 2002.07.01

Abstract

The homogenization method is applied to maximize crash energy absorption for a given volume. Optimization analysis off closed-hat type example problem is conducted with different impact velocities and thicknesses. The results show that the bending-type deformation for the original design is changed to the folding-type deformation for a new design with a hole, which is partly due to the increase of the crash energy absorption for the new design. Dynamic mean crushing loads of the original and new design are compared with those by the theoretical equation by Wierzbicki. It shows that the dynamic mean crushing loads of new designs are very close to those by Wierzbicki's equation.

Keywords

References

  1. H. Matsumoto, M, Sakakida, K. Kurimoto, 'A Paramethc Evaluation of Vehicle Crash Performance,' SAE 900465, pp.57-68, 1990
  2. W. Abramowicz, N. Jones, 'Dynamic Axial Crushing of Square Tubes,' Int. J. Impact Engng, Vol.2, pp.179-208, 1984 https://doi.org/10.1016/0734-743X(84)90005-8
  3. Q. Meng, S. T. S. Al-Hassani, P. D. Soden, 'Axial Crushing of Square Tubes,' Int. J. Mech. Sci., Vol.25, pp.747-773, 1993 https://doi.org/10.1016/0020-7403(83)90080-2
  4. H. F. Mahmood, A. Paluszny, 'Design of Thin Walled Columns for Crash Energy Management-Their Strength and Mode of Collapse,' SAE 811302, 1981
  5. T. Wierzbicki, W. Abramowicz, 'On The Crushing Mechanics of Thin-Walled Structures,' J. Appl. Mech., Vol.50, pp.727-734, 1983 https://doi.org/10.1115/1.3167137
  6. Y. Ohkubo, T. Akamatsu, K. Shirasawa, 'Mean Crushing Strength of Closed-Hat Section Members,' SAE 740040, pp.223-232, 1974
  7. W. Abramowicz, N. Jones, 'Dynamic Axial Crushing of Circular Tubes,' Int. J. Impact Engng, Vol.2, pp.263-281, 1984 https://doi.org/10.1016/0734-743X(84)90010-1
  8. A. G. Mamalis, W. Johnson, 'The Quasi-Static Crumbling of Thin-Walled Circular Cylinders and Frusta under Axial Compression,' Int. J. Mech. Sci., Vol.25, pp.713-732, 1983 https://doi.org/10.1016/0020-7403(83)90078-4
  9. S. Yamaguchi, H. Kato, T. Okazaki, 'Efficient Energy Absorption of Automobile Side Rails,' 10th Intemational Technical Conference on Experimental Safety Vehicles, pp.321-326, 1985
  10. Y. Kitagawa, I. Hagiwara, M. Tsuda, Development of a Collapse Mode Control Method for Side Members in Vehicle Collisions,' SAE 910809, pp.69-75, 1991
  11. J. D. Reid, 'Towards the Understanding of Material Property Influence On Automotive Crash Structures,' Thin-Walled Structures, Vol.24, pp.285-313, 1996 https://doi.org/10.1016/0263-8231(95)00041-0
  12. J. D. Reid, 'Crashworthiness of Automotive Steel Midrails : Thickness and Material Sensitivity,' Thin-Walled Structures, Vol.26, pp.83-103, 1996 https://doi.org/10.1016/0263-8231(96)00010-9
  13. M. P. Bendsoe, N. Kikuchi, 'Generating Optimal Topologies in Structural Design using a Homogenization Method,' Computer Methods in Applied Mechanics and Engineering, Vol.71, pp.197-224, 1988 https://doi.org/10.1016/0045-7825(88)90086-2
  14. J. M. Guedes, N. K-ikuchi, 'Preprocessing and Postprocessing for Materials Based on The Homogenization Method with Adaptive Finite Element Methods,' Computer Methods in Applied Mechanics and Engineering, Vol.83, pp.143-198, 1990 https://doi.org/10.1016/0045-7825(90)90148-F
  15. K. Suzuki, N. Kikuchi, 'A Homogemzation Method for Shape and Topology Optimization,' Computer Methods in Applied Mechanics and Engineering, Vol.93, pp.291-318, 1991 https://doi.org/10.1016/0045-7825(91)90245-2
  16. S. Min, N. Kikuchi, 'Optimal Rein- forcement Design of Structures under The Buckling Load using The Homogenization Design Method,' Structural Engineering and Mechanics, Vol.5, No.5, 565-576, 1997 https://doi.org/10.12989/sem.1997.5.5.565
  17. J. L. Lions, Some Methods in Mathematical Analysis of Systems and Their Control, Science Press, 1981
  18. R. R. Mayer, N. Kikuchi, R. A. Scott, 'Application of Topological Optimization Techniques to Structural Crashworthiness,' Intemational Journal for Numerical in Engineering, Vol.39, pp.1383-1403, 1996 https://doi.org/10.1002/(SICI)1097-0207(19960430)39:8<1383::AID-NME909>3.0.CO;2-3
  19. R. Mayer, 'Application of Topological Optimization Techniques to Structural Crashworthiness,' Ph.D. Dissertation, University of Michigan, Ann Arbor, 1994
  20. G. V. Reklaitis, A. Ravindran, K. M. Ragsdell, Engineering Optimization Methods and Applications, John Wiley and Sons, 1983
  21. 조용범, 신효철, '균질화법을 이용한 충돌최적화 기초 연구(I),' 한국자동차공학회논문집 , 제9권 제3호, pp.190-200, 2001