Structural Engineering and Mechanics

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Free vibration analysis of stiffened laminated plates using layered finite element method

  • Guo, Meiwen (Parsons Brinkckerhoff, Inc.) ;
  • Harik, Issam E. (Department of Civil Engineering, University of Kentucky) ;
  • Ren, Wei-Xin (Department of Civil Engineering, Fuzhou University)
  • Received : 2001.03.28
  • Accepted : 2002.07.09
  • Published : 2002.09.25
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Abstract

The free vibration analysis of stiffened laminated composite plates has been performed using the layered (zigzag) finite element method based on the first order shear deformation theory. The layers of the laminated plate is modeled using nine-node isoparametric degenerated flat shell element. The stiffeners are modeled as three-node isoparametric beam elements based on Timoshenko beam theory. Bilinear in-plane displacement constraints are used to maintain the inter-layer continuity. A special lumping technique is used in deriving the lumped mass matrices. The natural frequencies are extracted using the subspace iteration method. Numerical results are presented for unstiffened laminated plates, stiffened isotropic plates, stiffened symmetric angle-ply laminates, stiffened skew-symmetric angle-ply laminates and stiffened skew-symmetric cross-ply laminates. The effects of fiber orientations (ply angles), number of layers, stiffener depths and degrees of orthotropy are examined.

Keywords

References

  1. Aksu, G. (1982), "Free vibration analysis of stiffened plates including the in-plane inertia," J. Appl. Mech., 49, 206-212. https://doi.org/10.1115/1.3161972
  2. Ataaf and Hollaway (1990), "Vibrational analyses of stiffened and unstiffened composite plates subjected to inplane loads," Composites, 21(2), 117-126. https://doi.org/10.1016/0010-4361(90)90003-F
  3. Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, New Jersey
  4. Bert, C.W. and Chen, T.L.C. (1978), "Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular plates," Int. J. Solids Struct., 14(6), 465-473. https://doi.org/10.1016/0020-7683(78)90011-2
  5. Bhimaraddi, A., Carr, A.J. and Moss, P.J. (1989), "Finite element analysis of laminated shells of revolution with laminated stiffeners," Int. J. Comput. Struct., 33(1), 295-305. https://doi.org/10.1016/0045-7949(89)90153-3
  6. Chao, C.C. and Lee, J.C. (1980), "Vibration of eccentrically stiffened laminates," J. Composite Materials, 14, 233-244. https://doi.org/10.1177/002199838001400305
  7. Ghosh, A.K. and Biswal, K.C. (1996), "Free-vibration analysis of stiffened laminated plates using higher-order shear deformation theory," Finite Elements in Analysis and Design, 22, 143-161. https://doi.org/10.1016/0168-874X(95)00051-T
  8. Harik, I.E. and Guo, M.-W. (1993), "Finite element analysis of eccentrically stiffened plates in free vibration," Int. J. Comput. Struct., 49, 1007-1015. https://doi.org/10.1016/0045-7949(93)90012-3
  9. Hughes, T.J.R. (1987), The Finite Element Method, Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
  10. Kolli, M. and Chandrashekara, K. (1997), "Non-linear static and dynamic analysis of stiffened laminated plates," Int. J. Non-linear Mechanics, 32(1), 89-101. https://doi.org/10.1016/S0020-7462(96)00016-9
  11. Lee, D.-M. and Lee, I. (1995), "Vibration analysis of anisotropic plates with eccentric stiffeners," Comput. Struct., 57(1), 99-105. https://doi.org/10.1016/0045-7949(94)00593-R
  12. Leissa, A.W. and Narita, Y. (1989), "Vibration studies for simply supported symmetrically laminated rectangular plates," Compos. Struct., 12, 113-132. https://doi.org/10.1016/0263-8223(89)90085-8
  13. Lin, Y.K. (1960), "Free vibration of continuous skin-stringer panels," J. Appl. Mech., 27(4), 669-681. https://doi.org/10.1115/1.3644080
  14. Reddy, J.N. (1979), "Free vibration of antisymmetric, angle-ply laminated plates including transverse shear deformation by the finite element method," J. Sound Vib., 66(4), 565-576. https://doi.org/10.1016/0022-460X(79)90700-4
  15. Vu-Quoc, L., Deng, H. and Tan, X.G. (2001), "Geometrically-exact sandwich shells; the dynamic case," Comput. Method. Appl. Mech. Engrg., 190(22-23), 2825-2873 https://doi.org/10.1016/S0045-7825(00)00181-X
  16. Wah, T. (1964), "Vibration of stiffened plates," Aero. Quarterly, 15, part-3, 285-298. https://doi.org/10.1017/S0001925900010891
  17. Zienkiewicz, O.C. (1977), The Finite Element Method-3rd Edition, McGraw-Hill, England.

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