Small amplitude vibration of viscoelastic plates
type: Item
instance of: scholarly article
title: Small amplitude vibration of viscoelastic plates
zbMATH Open document ID: 0553.73051
DOI: 10.1007/BF01177953
published in: Acta Mechanica
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 3881980
zbMATH Keywords: equations of incompressible linear viscoelasticity
zbMATH Keywords: averaged over the thickness
zbMATH Keywords: thin plate
zbMATH Keywords: extensional and flexural motion
zbMATH Keywords: displacements
zbMATH Keywords: linear across the thickness
zbMATH Keywords: dispersion relation
zbMATH Keywords: propagation of flexural waves
author: Steven A. Trogdon
MaRDI profile type: Publication
cites work: Free surface problems induced by motions perturbing the natural state of simple solids
cites work: The Shape of Stress-Free Surfaces on a Sheared Block
cites work: Linear theory of micropolar viscoelasticity
description: scientific article; zbMATH DE number 3881980