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Applied Mathematics and Mechanics

, Volume 22, Issue 9, pp 1019–1027 | Cite as

Natural Frequency for Rectangular Orthotropic Corrugated-Core Sandwich Plates with All Edges Simply-Supported

  • Hui Wu
  • Huan-ran Yu
Article

Abstract

A simple approach to reduce the governing equations for orthotropic corrugated-core sandwich plates to a single equation containing only one displacement function is presented, and the exact solution of the natural frequencies for rectangular corrugated-core sandwich plates with all edges simply-supported is obtained. Furthermore, two special cases of practical interests are discussed in details.

rectangular sandwich plates corrugated-core orthotropic natural frequency displacement functional exact solution 

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References

  1. [1]
    Plantema F J. Sandwich Construction, the Bending and Buckling of Sandwich Beams, Plates and Shells[M]. New York: John Wiley,1996.Google Scholar
  2. [2]
    Allen H G. Analysis and Design of Structural Sandwich Panels[M]. New York: Pergamon Press, 1969.Google Scholar
  3. [3]
    Institute of Mechanics of Chinese Academy. Bending Stability and Vibration of Sandwich Plates and Shells [M]. Beijing: Science Press, 1977. (in Chinese)Google Scholar
  4. [4]
    Khatua T P, Cheung Y K. Triangular element for multiplayer sandwich plates[J]. ASCE,1972,98(EM5):1225–1238.Google Scholar
  5. [5]
    Cheung Y K. Finite Strip Method in Structural Analysis[M]. New York: Pergamon Press,1976.Google Scholar
  6. [6]
    Reissner E. On bending of elastic plates[J]. Quarterly Applied Math,1947,5(1):23–28.Google Scholar
  7. [7]
    Reissner E. Finite deflections of sandwich plates[J]. Journal of Applied Science,1948,15(7):18–26.Google Scholar
  8. [8]
    Libove C, Batdorf S. A General Small-Deflection Theory for Flat Sandwich Plates[R]. NACA R899,1948.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Hui Wu
    • 1
  • Huan-ran Yu
    • 1
  1. 1.Department of MechanicsLanzhou UniversityLanzhouP R China

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