Identification of flexural rigidity in a dynamic plate model
type: Item
instance of: scholarly article
title: Identification of flexural rigidity in a dynamic plate model
zbMATH Open document ID: 0688.73024
DOI: 10.1016/0022-247X(89)90373-9
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The equation of the dynamic linear Kirchhoff plate is discussed in the case of spacially dependent flexural rigidity coefficients. No damping is present. Clamped or simply supported conditions at the boundaries are considered. Several estimation problems based upon observation of displacements and velocities are formulated. An approximation theory is developed, which shows in two examples good agreement with test results.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4128485
zbMATH Keywords: output least-squares method
zbMATH Keywords: H(sup 2) regularization
zbMATH Keywords: regularity of optimal estimators
zbMATH Keywords: estimation of elastic parameters
zbMATH Keywords: fourth order elliptic operator
zbMATH Keywords: dynamic linear Kirchhoff plate
zbMATH Keywords: spacially dependent flexural rigidity coefficients
zbMATH Keywords: Clamped
zbMATH Keywords: simply supported conditions at the boundaries
zbMATH Keywords: observation of displacements
zbMATH Keywords: velocities
zbMATH Keywords: approximation theory
author: Luther White
reviewed by: Walter Schnell
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4128485