Advertisement

Applied Mathematics and Mechanics

, Volume 11, Issue 9, pp 801–807 | Cite as

Nonlinear bending of simply supported symmetric laminated cross-ply rectangular plates

  • Liu Ren-huai
  • He Ling-hui
Article

Abstract

Based on the von Kármán-type theory of plates, nonlinear bending problems of simply supported symmetric laminated cross-ply rectangular plates under the combined action of pressure and inplane load are investigated in this paper. The solution which satisfies the governing equations and boundary conditions is obtained by using the double Fourier series method.

Key words

laminated rectangular plate nonlinear bending governing equation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Lekhnitskii, S. G.,Anisotropic Plates, Gosjahizdat, Moscow (1947). (in Russian)Google Scholar
  2. [2]
    Stavsky, Y., On the general theory of heterogeneous aeolotropic plates,Aeronaut. Q.,15 (1964), 29.Google Scholar
  3. [3]
    Whitney, J. M. and A. W. Leissa, Analysis of heterogeneous anisotiopic plates,ASME J. Appl. Mech.,36 (1969), 261.Google Scholar
  4. [4]
    Turvey, G.J. and W.H. Wittrick, The large deflection and postbuckling behaviour of some laminated plates,Aeronaut. Q.,24 (1973), 77.Google Scholar
  5. [5]
    Chia, C. Y., Large deflections of heterogeneous anisotropic rectangular plates,Int. J. Solids Struct.,10 (1974), 965.Google Scholar
  6. [6]
    Chia, C. Y. and M. K. Prabhakara, Large deflection of unsymmetric cross-ply andangle-ply plates,J. Mech. Eng. Sci.,18 (1976), 179.Google Scholar
  7. [7]
    Zaghloul, S. A. and J. B. Kennedy, Nonlinear behaviour of symmetrically laminated plates,ASME J. Appl. Mech.,42 (1975), 234.Google Scholar
  8. [8]
    Prabhakara, M. K. and C. Y. Chia, Finite deflections of unsymmetrically layered anisotropic rectangular plates subjected to the combined action of transverse and inplane loads,ASME J. Appl. Mech.,42 (1975), 517.Google Scholar
  9. [9]
    Prabhakara, M. K. and C. Y. Chia, Nonlinear analysis of laminated cross-ply plates,J. Eng. Mech. Div., Proc. ASCE, 103EM4 (1977), 749.Google Scholar
  10. [10]
    Prabhakara, M. K., Finite deflections of unsymmetric angle-ply anisotropic rectangular plates under edge moments,ASME J. Appl. Mech.,44 (1977), 171.Google Scholar
  11. [11]
    Chandra, R., Nonlinear bending of antisymmetric angle-ply laminated plates,Fib. Sci. and Tech.,10 (1977), 123.Google Scholar
  12. [12]
    Zhou Ci-qing, Nonlinear bendings of rectangular symmetically laminated cross-ply plates under various supports,Applied Mathematics and Mechanics,6, 9 (1985), 887.Google Scholar
  13. [13]
    Zhou Ci-qing, Nonlinear bendings of unsymmetrically layered anisotropic rectangular plates,Applied Mathematics and Mechanics,7, 11 (1986), 1063.Google Scholar
  14. [14]
    Zhou Ci-qing, Nonlinear bendings of symmetrically layered anisotropic rectangular plates,Applied Mathematics and Mechanics,9, 3 (1988), 295.Google Scholar
  15. [15]
    Chia, C.Y., Nonlinear bending of unsymmetric angle-ply plates with edges elastically restrained against rotation,Acta Mech.,53 (1984), 201.Google Scholar
  16. [16]
    Chia, C. Y., Large deflection of unsymmetrical laminates with mixed boundary conditions,Int. J. Non-Linear Mech.,20 (1985), 273.Google Scholar
  17. [17]
    Chia, C. Y.,Nonlinear Analysis of Plates, McGraw-Hill, New York (1980).Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1990

Authors and Affiliations

  • Liu Ren-huai
    • 1
    • 2
  • He Ling-hui
    • 1
    • 2
  1. 1.Shanghai University of TechnologyShanghai
  2. 2.Shanghai Institute of Applied Mathematics and MechanicsShanghai

Personalised recommendations