Applied Mathematics and Mechanics

, Volume 22, Issue 1, pp 53–62 | Cite as

Nonlinear theory of dynamic stability for laminated composite cylindrical shells

  • Zhou Cheng-ti
  • Wang Lie-dong


Hamilton Principle was used to derive the general governing equations of nonlinear dynamic stability for laminated cylindrical shells in which, factors of nonlinear large deflection, transverse shear and longitudinal inertia force were concluded. Equations were solved by variational method. Analysis reveals that under the action of dynamic load, laminated cylindrical shells will fall into a state of parametric resonance and enter into the dynamic unstable region that causes dynamic instability of shells. Laminated shells of three typical composites were computed: i. e. T300/5 208 graphite epoxy E-glass epoxy, and ARALL shells. Results show that all factors will induce important influence for dynamic stability of laminated shells. So, in research of dynamic stability for laminated shells, to consider these factors is important.

Key words

composite material cylindrical shell dynamic stability ARALL shell 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics All rights reserved 1980

Authors and Affiliations

  • Zhou Cheng-ti
    • 1
  • Wang Lie-dong
    • 1
  1. 1.Economic & Technical Development ZoneDalian UniversityDalianP R China

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