Parametric Excitation of Viscoelastic Plates

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10 Scopus citations


The dynamic instability of rectangular viscoelastic plates subjected to periodic in-plane loads Ps + Pd cos θt is investigated. The material behavior is given in terms of the Boltzmann superposition principle, which allows any linear viscoelastic character. This representation yields an in-tegro-differential equation of motion, for which time-dependent instability regions are determined analytically using the multiple-scales method. It is shown that, due to viscoelasticity, the stability regions are expanded relative to the elastic ones and that a plate which may be initially stable can become unstable after a finite time, unlike in the elastic case. The influence of the static and the dynamic parts of the loads on this region is also investigated.

Original languageEnglish
Pages (from-to)37-51
Number of pages15
JournalMechanics of Structures and Machines
Issue number1
StatePublished - 1 Jan 1992

ASJC Scopus subject areas

  • Engineering (all)


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