Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Free Vibrations and Buckling Loads of Axially Loaded Cross-Ply Laminated Composite Beam-Columns with Multiple Delaminations

다층간분리된 직교 적층 보-기둥의 자유진동과 좌굴하중

  • Published : 2002.09.01
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Abstract

Free vibration and buckling analysis of multi-delaminated composite beam-columns subjected to axial compressive load is performed in the present study In order to investigate the effects of multi-delaminations on the natural frequency and the elastic buckling load of multi-delaminated beam-columns, the general kinematic continuity conditions are derived from the assumption of constant slope and curvature at the multi-dclamination tip. The characteristic equation of multi-delaminated beam-column is obtained by dividing the global multi-delauunated beam-columns into segments and by imposing recurrence relation from the continuity conditions on each sub-beam-column. The natural frequency and the elastic buck)ing load of multi-delaminated beam-columns according to the incremental load of axial compression, which is limited to the maximum elastic buckling load of sound laminated beam-column, are obtained. It is found that the sizes, locations and numbers of multi-delaminations have significant effect on natural frequency and elastic buckling load, especially the latter ones.

본 논문에서는 축방향 압축하중을 받는 다퐁간분리된 적층 보-기둥의 자유진동과 좌팔에 대한 해석을 수행하였다. 다층간분리된 적층 보-기둥의 고유진동수와 탄성 좌굴 하중에 대한 층간분리의 영향을 조사하기 위해 층간분리의 양단에서 기울기와 곡률이 일정하다는 가정을 적용하여 일반적인 운동학적 연속 조건을 유도하였다. 전체 다층간분리된 보-기둥을 부분으로 분할하고, 연속조건에 따른 반복관계를 각 하부 보-기둥에 부과함으로써 다층간분리된 보-기둥의 특성방정식을 구하였다. 축방향 증분 압축 하중에 따른 다층간분리된 보-기둥의 고유진동수와 탄성 좌굴 하중을 구하였으며 이는 손상되지 않은 적층 보-기둥의 최대 탄성 좌굴 하중에 한정된다 연구를 통하여 층간분리의 크기, 위치, 수가 고유진동수와 특히 탄성 좌굴 하중에 큰 영향을 미치는 것을 알 수 있었다.

Keywords

References

  1. Pavier J. M., Clarke M. P., 'Experimental technique for the investigation of the effects of impact damage on carbonfiber composites,' Composite Science and Technology, Vol. 55, 1995, pp.157-169 https://doi.org/10.1016/0266-3538(95)00097-6
  2. Prichard J. C., Hogg P. J., 'The role of impact damage in post-impact compression test,' Composites, Vol. 21, No. 6, 1990, pp. 503-511 https://doi.org/10.1016/0010-4361(90)90423-T
  3. Chai, H., Babcock, C. D., and Knauss, W. G., 'One Dimensional Modeling of Failure in Laminated Plates by Delamination Buckling,' International Journal of Solid Structures, Vol. 17, No. 11, 1981, pp.1069-1083 https://doi.org/10.1016/0020-7683(81)90014-7
  4. Simitses, G. J., Sallam, S. N., and Yin, W. L., 'Effect of Delamination of Axially Loaded Homogeneous Laminated Plates', AIAA Journal, Vol. 23, No. 9, 1985, pp.1437-1444 https://doi.org/10.2514/3.9104
  5. Kardomateas, G. A., Schmueser, D. W., 'Buckling and Postbuckling of Delaminated Composites under Compressive Loads Including Transverse Shear Effects', , Vol. 26, No. 3, 1988, pp.337-342 https://doi.org/10.2514/3.9894
  6. Wang, J. T. S., Cheng, S. H., and Lin, C. C., 'Local buckling of delaminated beams and plates using continuous analysis,' Journal of Composite materials, Vol. 29, No. 10, 1995, pp.1374-1402 https://doi.org/10.1177/002199839502901007
  7. Moradi, S., and Taheri, F., 'Delamination buckling analysis of general laminated composite beams by differential quadrature method,' Composites Part B: engineering, Vol. 30, No. 5, 1999, pp.503-511 https://doi.org/10.1016/S1359-8368(99)00011-6
  8. Chen, H. P., 'Shear Deformation Theory for Compressive Delamination Buckling and Growth,' AIAA Journal, Vol. 29, No. 5, 1991, pp.813-819 https://doi.org/10.2514/3.10661
  9. Kyoung, W. M., Kim, C. G,, 'Delamination buckling and growth of composite laminated plates with transverse shear deformation,' Journal of Composite materials, Vol. 29, No. 15, 1995, pp.2047-20687 https://doi.org/10.1177/002199839502901506
  10. Bruno, D., Greco, F., 'An asymptotic analysis of delamination buckling and growth in layered plates,' International Journal of Solids and Structures, Vol. 37, No. 43, 2000, pp. 6239-6276 https://doi.org/10.1016/S0020-7683(99)00281-4
  11. Chang, T. P., Liang, J. Y., 'Vibration of Postbuckled Delaminated Beam-Plate,' International Journal of Solids and Structures, Vol. 35, No. 12, 1998, pp.1199-1217 https://doi.org/10.1016/S0020-7683(97)00099-1
  12. Jane, K. C., Chen, C. C., 'Postbuckling Deformation and Vibration of a Delaminated Beam-Plate with Arbitary Delmiantion Location,' Mechanics Research Communications, Vol. 25, No. 3, 1998, pp.337-351 https://doi.org/10.1016/S0093-6413(98)00046-9
  13. Wang, J. T. S., Lin, C. C., 'Engineering analysis of buckling of delaminated beam plates,' Composite Structures, Vol. 34, No. 4, 1996, pp.397-407 https://doi.org/10.1016/0263-8223(96)00007-4
  14. Wang, J. T. S., Pu, H. N., Lin, C. C., 'Buckling of beam-plates having multiple delamination,' Journal of Composite materials, Vol. 31, No. 10, 1997, pp.1002-1025 https://doi.org/10.1177/002199839703101003
  15. Haiying, H., Kardomateas, G. A., 'Buckling of orthotropic beam-plates with multiple central delamination,' International Journal of Solids and Structures, Vol. 35, No. 13, 1998, pp.1355-1362 https://doi.org/10.1016/S0020-7683(97)00110-8
  16. Shu, D., 'Buckling of multiple delamiated beams,' International Journal of Solids and Structures, Vol. 35, No. 13, 1998, pp.1451-1465 https://doi.org/10.1016/S0020-7683(97)00124-8
  17. Jane, K. C., Harn, Y. C., 'Vibration of delaminated beam-plate with multiple delaminations under axial forces,' Mechanics of Structures and Machines, Vol. 28, No. 1, 2000, pp.49-64 https://doi.org/10.1081/SME-100100611
  18. Wang, S. S., Zahlan, N. M., Suemasu, H., 'Compressive Stability of Delaminated Random Short-Fiber Composites, Part I : Modeling and Methods of Analysis,' Journal of Composite Materials, Vol. 19, No. 7, 1985, pp.296-316 https://doi.org/10.1177/002199838501900401
  19. Wang, S. S., Zahlan, N. M., Suemasu, H., 'Compressive Stability of Delaminated Random Short-Fiber Composites, Part II : Experimental and Analytical Result,' Journal of Composite Materials, Vol. 19, No. 7, 1985, pp.317-333 https://doi.org/10.1177/002199838501900402
  20. Suemasu H., 'Effects of Multiple Delami- nations on Compressive Buckling Behaviors of Composite Panels,' Journal of Compoiste Materials, Vol. 27, No. 12, 1993, pp.1172 -1192 https://doi.org/10.1177/002199839302701202
  21. Gaudenzi, P., 'On delamination buckling of composite laminated under compressive loading,' Composite Structures, Vol. 39, No. 1-2, 1997, pp.21-30 https://doi.org/10.1016/S0263-8223(98)80017-2
  22. Kim, H. J., 'Postbuckling analysis of composite laminates with a delamination,' Computers & Structures, Vol. 62, No. 6, 1997, pp.975-983 https://doi.org/10.1016/S0045-7949(96)00290-8
  23. Roche, C. H., Accorsi, M. L., 'A new finite element for global modeling of delaminations in laminated beams,' Finite Elements in Analysis and Design, Vol. 31, 1998, pp.165-177 https://doi.org/10.1016/S0168-874X(98)00058-4
  24. Kyoung, W. M., Kim, C. G., Hong, C. S. 'Buckling and postbuckling behavior of composites crossply laminates with multiple delaminations,' Composite Structures, Vol. 43, 1999, pp.257-274
  25. Hu, N., Fukunaga, H., Sekine, H., Ali, K. M., 'Compressive buckling of laminates with an embedded delamination,' Composites Science and Technology, Vol. 59, No. 8, 1999, pp.1247-1260 https://doi.org/10.1016/S0266-3538(98)00166-3
  26. Ali, K. M., Sekine, H., 'Compressive buckling analysis of retangular composite laminates containing mutiple delaminations,' Composite Structures, Vol. 50, No. 3, 2000, pp.249-255 https://doi.org/10.1016/S0263-8223(00)00100-8
  27. Hwang, S. F., Liu, G. H., 'Buckling behavior of composite laminates with multiple delaminations under uniaxial compression,' Composite Structures, Vol. 53, 2001, pp.235-243 https://doi.org/10.1016/S0263-8223(01)00007-1
  28. Chen, H. P., 'Free vibration of prebuckled and postbuckled plates with delamination,' Composites Science and Technology, Vol. 51, 1994, pp.451-462 https://doi.org/10.1016/0266-3538(94)90113-9
  29. WANG, J. T. S., Ltu, Y. Y. GIBBY, J. A., 'Vibrations of Split Beams,' Journal of Sound and Vibration, Vol. 84, No. 4, 1982, pp.491-502 https://doi.org/10.1016/S0022-460X(82)80030-8