Dynamic instability of shear-deformable viscoelastic laminated plates by lyapunov exponents

Gabriel Cederbaum, Jacob Aboudi, Isaac Elishakoff

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

The dynamic stability of viscoelastic laminated plates, subjected to a harmonic in-plane excitation, is analyzed. The viscoelastic behavior is caused by the polymeric matrix of the fiberreinforced material, and a micromechanical analysis provides the time-dependent relaxation functions of the unidirectional lamina. The Boltzmann representation involved in the stress-strain relations of the laminated plate leads to an integro-differential equation of motion, obtained within the first-order shear deformation theory. For this case, a dynamic stability analysis which employs the concept of Lyapunov exponents is performed, and is shown to be very efficient.

Original languageEnglish
Pages (from-to)317-327
Number of pages11
JournalInternational Journal of Solids and Structures
Volume28
Issue number3
DOIs
StatePublished - 1 Jan 1991

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