Iterative Analysis for Nonlinear Laminated Rectangular Plates by Finite Difference Method

  • Kim, Chi Kyung (Department of Safety Engineering, University of Incheon)
  • Published : 2002.12.01

Abstract

A new system of equations governing the nonlinear thin laminated plates with large deflections using von Karman equations is derived. The effects of transverse shear in the thin interlayer are included as part of the analysis. The finite difference method is used to perform the geometrically nonlinear behavior of the plate. The resultant equations permit the analysis of the effect of transverse shear stress deformation on the overall behavior of the interlayer using the load incremental method. For the purpose of feasibility and validity of this present method, the numerical results are compared with other available solutions for accuracy as well as efficiency. The solution techniques have been implemented and the numerical results of example problem are discussed and evaluated.

Keywords

References

  1. Goldberg, M.A., Newman, M. and Forray, M.J., 'Stresses in a Uniformly Loaded Two-layer Circular Plate,' ASCE, Vol. 91, pp. 13-28, 1965
  2. Kan, H.P. and Huang, J.C., 'Large Deflection of Rect-angular Sandwich Plates,' AIAA, Vol. 5, pp. 1706-1708, 1967 https://doi.org/10.2514/3.63095
  3. Pinster, K.S. and Dong, S.B., 'Elastic Bending of Lay-ered Plates,' ASCE, Vol. 85, pp. 1-10, 1959
  4. Reissner, E., 'Finite Deflection of Sandwich Plates,' Journal of the Aeronautical Science, Vol. 15, pp. 435-440, 1948 https://doi.org/10.2514/8.11610
  5. Discrete Element Analysis of Sandwich Plates and Cylindrical Shell with Laminated Faces,' Journal of AIAA, Vol.8, pp. 1454-1461, 1970 https://doi.org/10.2514/3.5923
  6. Szilard, R., 'Theory and Analysis of Plates,' Prentce-Hall, Inc., 1974
  7. Timoshenko, S. and Krieger, S.W., 'Theory of Plates and Shells,' McGraw-Hill Book Co., Inc., New York, 1959
  8. Wang, C.T., 'Principle and Application of Complemen-tary Energy Method for thin Homogeneous and Sand-wich Plates and Shells With finite Deflections,'Technical Note 2620, NACA, 1952
  9. Yu, Y.Y., 'A new theory of elastic Sandwich Plates-One-Dimensional Case,' Journal of Applied Mechanics, Trans. of ASME, Vol. 36, pp. 415-421, 1959