한국정밀공학회지 (Journal of the Korean Society for Precision Engineering)

  • 제23권8호
  • /
  • Pages.127-136
  • /
  • 2006
  • /
  • 1225-9071(pISSN)
  • /
  • 2287-8769(eISSN)
한국정밀공학회 (Korean Society for Precision Engineering)
권호 표지

굽힘 하중을 받는 딤플형 내부구조 금속 샌드위치 판재의 최적설계변수의 수식화 및 파손선도

Formulation of Optimal Design Parameters and Failure Map for Metallic Sandwich Plates with Inner Dimpled Shell Structure Subject to Bending Moment

  • 성대용 (한국과학기술원 기계공학과 대학원) ;
  • 정창균 (한국과학기술원 기계공학과 대학원) ;
  • 윤석준 (한국과학기술원 기계공학과 대학원) ;
  • 안동규 (조선대학교 기계공학과) ;
  • 양동열 (한국과학기술원 기계공학과)
  • 발행 : 2006.08.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Metallic sandwich plates with inner dimpled shell subject to 3-point bending have been analyzed and then optimized for minimum weight. Inner dimpled shells can be easily fabricated by press or roll with high precision and bonded with same material skin sheets by resistance welding or adhesive bonding. Metallic sandwich plates with inner dimpled shell structure can be optimally designed for minimum weight subject to prescribed combination of bending and transverse shear loads. Fundamental findings for lightweight design are presented through constrained optimization. Failure responses of sandwich plates are predicted and formulated with an assumption of narrow sandwich beam theory. Failure is attributed to four kinds of mechanisms: face yielding, face buckling, dimple buckling and dimple collapse. Optimized shape of inner dimpled shell structure is a hemispherical shell to minimize weight without failure. It is demonstrated that bending stiffness of sandwich plate is 2 or 3 times larger than solid plates with the same strength. Failure mode boundaries and iso-strength lines dependent upon the geometry and yield strain of the material are plotted with respect to geometric parameters on the failure map. Because optimal parameters of maximum strength for given material weight can be selected from the map, analytic solutions for maximum strength are expressed as a function of only material property and proposed strength. These optimal parameters match well with numerical optimal parameters.

키워드

참고문헌

  1. Waldley, H. N. G, Fleck, N. A. and Evans, A. G., 'Fabrication and structural performance of periodic cellular metal sandwich structures,' Composites Science and Technology, Vol. 63, pp. 2331-2343, 2003 https://doi.org/10.1016/S0266-3538(03)00266-5
  2. Wicks, N. and Hutchinson, J. W., 'Optimal truss plates,' International Journal of Solids and Structures, Vol. 38, pp. 5164-5183, 2001 https://doi.org/10.1016/S0020-7683(00)00315-2
  3. Jung, C. G, Yoon, S. J., Yang, D. Y., Lee, S. M., Na, S. J., Lee, S. H. and Ahn, D. G, 'Fabrication and static bending test in ultra light inner structured and bonded(ISB) panel containing repeated inner pyramidal structure,' J. of the KSPE, Vol. 22, No. 6, pp. 175-182, 2005
  4. Zok, F. W., Rathbun, H. J. and Evans, A. G, 'Design of metallic textile core sandwich panels,' International Journal of Solids and Structures, Vol. 40, pp.5707-5722, 2003 https://doi.org/10.1016/S0020-7683(03)00375-5
  5. Jung, C. G., Yoon, S. J., Yang, D. Y., Lee, S. M., Na, S. J., Lee, S. H. and Ahn, D. G., 'Basic study in fabrication and mechanical characteristics of ultra light inner structured and bonded(ISB) panel containing perpendicularly woven metal,' J. of the KSPE, Vol. 22, No. 5, pp. 152-158, 2005
  6. Seong, D. Y., Jung, C. G., Yoon, S. J. and Yang, D. Y., 'Efficient methods of prediction incorporating equivalent models for elastic-plastic bending behavior of metallic sandwich plates with inner dimpled shell structure,' Transactions of Materials Processing, Vol. 14, No. 8, pp. 718-724, 2005 https://doi.org/10.5228/KSPP.2005.14.8.718
  7. Seong, D. Y., Jung, C. G, Yoon, S. J., Yang, D. Y., Lee, S. M., Na, S. J., Lee, S. H. and Ahn, D. G., 'Fabrication of Metallic Sandwich Plates with Inner Dimpled Shell Structure and Static Bending Test,' J. of the KSME, Vol. 30, No. 6, accepted, 2006 https://doi.org/10.3795/KSME-A.2006.30.6.653
  8. Ashby, M. F., 'Metal Foam: A Design Guide,' ？Butterworth Heinemann, Boston, 2000
  9. Deshpande, V. S. and Fleck, N. A., 'Collapse of truss core sandwich beams in 3-point bending,' International Journal of Solids and Structures, Vol. 38, pp. 6275-6305, 2001 https://doi.org/10.1016/S0020-7683(01)00103-2
  10. Zok, F. W., Waltner, S. A., Wei, Z., Rathbun, H. J., McMeeking, R. M. and Evans, A. G, 'A protocol for characterizing the structural performance of metallic sandwich panels: application to pyramidal truss cores,' International Journal of Solids and Structures, Vol. 40, pp. 6249-6271, 2004 https://doi.org/10.1016/j.ijsolstr.2004.05.045
  11. Timoshenko, S. P. and Gere, J. M., 'Theory of Elastic Stability,' McGraw-Hill, New York, 1961
  12. Baker, E. H., Kovalevsky, L. and Rish, L. F., 'Structural analysis of shells, Huntington,' New York, pp. 220-276, 348-439, 1981
  13. Belegundu, S. D. and Chandrupatla, T. R., 'Optimization concepts and applications in engineering,' Prentice Hall, New Jersey, pp. 141-194, 1999
  14. Valdevit, L., Hutchinson, J. W. and Evans, A. G, 'Structurally optimized sandwich panels with prismatic cores,' International Journal of Solids and Structures, Vol. 41, pp. 5105-5124, 2004 https://doi.org/10.1016/j.ijsolstr.2004.04.027