Small amplitude vibration of viscoelastic plates

S. A. Trogdon

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The equations of incompressible linear viscoelasticity are averaged over the thickness of a thin plate. The basic equations governing the extensional and flexural motion of the plate are obtained when displacements are assumed to be linear across the thickness of the plate. A dispersion relation governing the propagation of flexural waves is obtained which incorporates characterizing parameters of the material. Numerical results are presented for the decay of waves in a semi-infinite plate which is excited harmonically at one boundary. The results show how characterizing parameters affect the decay of waves.

Original languageEnglish (US)
Pages (from-to)233-243
Number of pages11
JournalActa Mechanica
Issue number3-4
StatePublished - Nov 1 1984


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