DOI QR코드

DOI QR Code

EAS Solid Element for Free Vibration Analysis of Laminated Composite and Sandwich Plate Structures

적층된 복합 및 샌드위치 판 구조의 자유진동 해석을 위한 EAS 고체 유한요소

  • Park, Dae-Yong (Bridge Engineering Team, Daelim cooperation) ;
  • Noh, Myung-Hyun (Energy Infrastructure Research Department, Steel Structure Research Division, Research Institute of Industrial Science & Technology, POSCO Global R&D Center) ;
  • Lee, Sang-Youl (Department of Civil Engineering, Andong National University)
  • 박대용 (대림사업 기술연구소 특수교량팀) ;
  • 노명현 (포항산업과학연구원 강구조연구소 에너지인프라본부) ;
  • 이상열 (안동대학교 토목공학과)
  • Received : 2012.07.27
  • Accepted : 2012.08.29
  • Published : 2012.09.30

Abstract

This study deals with an enhanced assumed strain (EAS) three-dimensional element for free vibration analysis of laminated composite and sandwich structures. The three-dimensional finite element (FE) formulation based on the EAS method for composite structures shows excellence from the standpoints of computational efficiency, especially for distorted element shapes. Using the EAS FE formulation developed for this study, the effects of side-to-thickness ratios, aspect ratios and ply orientations on the natural frequency are studied and compared with the available elasticity solutions and other plate theories. The numerical results obtained are in good agreement with those reported by other investigators. The new approach works well for the numerical experiments tested, especially for complex structures such as sandwich plates with laminated composite faces.

Keywords

References

  1. Andelfinger, U. and Ramm, E. (1993). "EAS-elements for two-dimensional three-dimensional, plate and shell structures and their equivalence to HR-elements." Int. J. Numer. Methods Eng., 36, pp.1311-1337. https://doi.org/10.1002/nme.1620360805
  2. Braes, D. (1998). "Enhanced assumed strain elements and locking in membrane problems." Comp. Meth. Appl. Mech. Engineering, 165, pp.155-174. https://doi.org/10.1016/S0045-7825(98)00037-1
  3. Kant, T. and Swaminathan, K. (2001). "Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory." Comp. Struct., 53, pp.73-85. https://doi.org/10.1016/S0263-8223(00)00180-X
  4. Kant, T. and Swaminathan, K. (2001). "Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories." J Sound Vib., 241, pp.319-27. https://doi.org/10.1006/jsvi.2000.3232
  5. Han, S. C., Lee, S. Y., and Rus, G. (2010). "Postbuckling analysis of laminated composite plates subjected to the combination of in-plane shear, compression and lateral loading." Int. J. Solids Struct., 43, pp.5713-5735.
  6. Korelc, J, Šolinc U., and Wriggers P. (2010). "An improved EAS brick element for finite deformation." Comp. Mech., 46, pp.641-659. https://doi.org/10.1007/s00466-010-0506-0
  7. Lee, S. Y. and Wooh, S. C. (2004). "Finite element vibration analysis of composite box structures using the high order plate theory." J. Sound Vib., 277, pp.801-814. https://doi.org/10.1016/j.jsv.2003.09.024
  8. Matsunaga, H. (2000). "Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory." Compos. Struct, 48, pp.231-44.. https://doi.org/10.1016/S0263-8223(99)00110-5
  9. Nayak. A. K., Moy, S. S. J., and Shenoi, R. A. (2002). "Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory." Composites: Part B, 33, pp.505-19. https://doi.org/10.1016/S1359-8368(02)00035-5
  10. Noh, Y. H., Park, D. Y., and Lee, S. Y. (2012). "Free vibration of three-dimensional laminated composite structures with different embedded delamination sizes and locations." J. Korean Soc. Adv. Comp. Struc., 3(1), pp.1-11.
  11. Noor, A. K. (1973). "Free vibrations of multilayered composite plates." AIAA J, 11, pp.1038-1039. https://doi.org/10.2514/3.6868
  12. Noor, A. K. and Burton, W. S. (1990). "Three-dimensional solutions for antisymmetrically laminated anisotropic plates." J. Appl Mech, 57, pp.183-8.
  13. Pian, T. H. H. and Sumihara, K. (1984). "Rational approach for assumed stress finite elements." Int. J. Numer. Methods Eng., 20, pp.1685-1695. https://doi.org/10.1002/nme.1620200911
  14. Rao, M. K., Scherbatiuk, K., Desai, Y. M., and Shah, A. H. (2004). "Natural vibrations of laminated and sandwich plates." J Eng Mech., 130, pp.1268-1278. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:11(1268)
  15. Reddy, J. N. (1984). "simple higher order theory for laminated composite plates," ASME J. App. Mech., 51, pp.745-752. https://doi.org/10.1115/1.3167719
  16. Senthilnathan, N. R., Lim, K. H., Lee, K. H., and Chow, S. T. (1987). "Buckling of shear deformables plates," AIAA J., 25(9), pp.1268-1271. https://doi.org/10.2514/3.48742
  17. Simo, J. C., Hughes, T. J. R. (1986). "On the variational formulations of assumed strain methods. Journal of Applied Mechanics," ASME, 53, pp.51-54. https://doi.org/10.1115/1.3171737
  18. Simo, J.C. and Rifai, M.S. A (1990). "class of mixed assumed strain methods and the method of incompatible modes," Int. J. Numer. Methods Eng., 29, pp.1595-1638. https://doi.org/10.1002/nme.1620290802
  19. Srinivas, S., Joga Rao, C. V., and Rao, A. K. (1970). "An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates." J. Sound Vib., 12(2), pp.187-199. https://doi.org/10.1016/0022-460X(70)90089-1
  20. Xiaoping S., (2001). "Vibration and bending of antisymmetrically angle-ply laminated plates with perfectly and weakly bonded layers." Composite Struct., 53, pp.245-255. https://doi.org/10.1016/S0263-8223(01)00008-3
  21. Whitney, J. M. and Pagano, N. J. (1970). "Shear deformation in heterogeneous anisotropic plates." ASME J. App. Mech., 37, pp.1031-1036. https://doi.org/10.1115/1.3408654
  22. Wu, Z., Chen, W., and Ren, X. (2010). "An accurate higher-order theory and C0 finite element for free vibration analysis of laminated composite and sandwich plates." Composite Struct., 92, pp.1299-1307. https://doi.org/10.1016/j.compstruct.2009.11.011

Cited by

  1. Bending Analysis of Anisotropic Sandwich Plates with Multi-layered Laminated Composite faces vol.3, pp.4, 2012, https://doi.org/10.11004/kosacs.2012.3.4.017
  2. On buckling and free vibration studies of sandwich plates and cylindrical shells pp.1530-7980, 2018, https://doi.org/10.1177/0892705718809810
  3. Structural Characterization of Structural Insulated Panels(SIP) under Racking Load vol.9, pp.4, 2018, https://doi.org/10.11004/kosacs.2018.9.4.040