Identification of parameters in narrow plate models from spectral data
type: Item
instance of: scholarly article
title: Identification of parameters in narrow plate models from spectral data
zbMATH Open document ID: 0863.73031
author: David L. Russell
author: Luther White
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-07-14T00:00:00Z
review text: The paper deals with the identification of parameters in a model introduced earlier by the authors. The model is based on the energy form \({\mathcal E}(W)\) for the Mindlin-Timoshenko plate equation. The potential form is stronger than the \(H^1\)-norm, and the kinetic energy is equivalent to the \(L^2\)-norm. The set \(Q\) of admissible parameters is embedded in a suitable Hilbert space, and continuity properties of the mapping from \(Q\) to the corresponding spectra of eigenvalues are established. The fundamental analysis is carried out carefully, but there are several annoying misprints, e.g. the region \(\mathcal R\) (not \(R\)) in the equations (1.1) and (2.1).
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93B60
zbMATH DE Number: 902466
zbMATH Keywords: Timoshenko beam
zbMATH Keywords: least-square difference
zbMATH Keywords: energy-form
zbMATH Keywords: \(H^ 1\)-norm
zbMATH Keywords: finite element approximation
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0046
OpenAlex ID: W2063241263
DOI: 10.1006/JMAA.1996.0046
description: scientific article; zbMATH DE number 902466