Statics and dynamics of simply supported polygonal Reissner-Mindlin plates by analogy
type: Item
instance of: scholarly article
title: Statics and dynamics of simply supported polygonal Reissner-Mindlin plates by analogy
zbMATH Open document ID: 0964.74035
published in: Archive of Applied Mechanics
publication date: 2001-07-08T00:00:00Z
review text: This paper is concerned with free and forced vibrations of moderately thick, transversely isotropic plates loaded by lateral forces and hydrostatic (isotropic) in-plane forces. The vibrations are analyzed in the frequency domain. The authors consider first-order shear-deformation theories of Reissner-Mindlin type. In the case of a general polygonal shape of the plate and hard-hinged support conditions, the Reissner-Mindlin deflections are shown to coincide with the results of classical Kirchhoff theory of thin plates, where the background Kirchhoff plate, which has effective stiffness and mass, is loaded by effective lateral and in-plane forces and by imposed fictitious ''thermal'' curvatures.
reviewed by: Wilfried Becker
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 1488289
zbMATH Keywords: free vibrations
zbMATH Keywords: Reissner-Mindlin theory
zbMATH Keywords: forced vibrations
zbMATH Keywords: Kirchhoff theory
zbMATH Keywords: membrane
zbMATH Keywords: moderately thick transversely isotropic plates
zbMATH Keywords: frequency domain
zbMATH Keywords: first-order shear-deformation theories
zbMATH Keywords: polygonal plate
author: H. Irschik
author: R. Heuer
author: F. Ziegler
MaRDI profile type: Publication
full work available at URL: s004199900064
OpenAlex ID: W1968727305
DOI: 10.1007/S004199900064
description: scientific article; zbMATH DE number 1488289