Dynamic instability of viscoelastic orthotropic laminated plates

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Abstract

The dynamic instability of viscoelastic specially orthotropic laminated plates, subjected to in-plane parametric excitation, is investigated. The viscoelastic behavior is caused by the polymeric matrix of the fiber-reinforced material, and a micromechanics analysis is employed in order to obtain the time-dependent relaxation functions of the unidirectional lamina. The Boltzmann representation involved in the stress-strain relation of the laminated plate leads to an integrodifferential equation of motion. The stability boundaries of this equation are determined analytically by using the multiple-scales method. Time-dependent instability regions and minimum load parameter are derived, together with an expression for the critical time at which the system, with a given load amplitude, will turn unstable.

Original languageEnglish
Pages (from-to)131-144
Number of pages14
JournalComposite Structures
Volume19
Issue number2
DOIs
StatePublished - 1 Jan 1991

ASJC Scopus subject areas

  • Ceramics and Composites
  • Civil and Structural Engineering

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