Structural control to minimize the dynamic response of Mindlin-Timoshenko plates
type: Item
instance of: scholarly article
title: Structural control to minimize the dynamic response of Mindlin-Timoshenko plates
zbMATH Open document ID: 0641.49014
DOI: 10.1016/0016-0032(87)90376-0
author: Ibrahim Sadek
author: J. M. Sloss
author: J. C. jun. Bruch
author: S. Adali
published in: Journal of the Franklin Institute
publication date: 1987-01-01T00:00:00Z
review text: The authors are interested in the dynamic response of a Mindlin- Timoshenko plate. Unfortunately, in their model they replace the Laplacian at each instant by the biharmonic operator, retaining, however, the boundary conditions of the (correct) Mindlin-Timoshenko plate theory. Therefore, the model presented in this paper is both physically and mathematically inconsistent. Furthermore, in the introduction, the authors announce to study a vector-valued performance problem. In fact, what they actually do is discussing a standard quadratic cost problem, involving norm constraints on the distributed controls. Incidentally, this part of the paper under review is almost identical with the corresponding one of a pevious paper by the authors [J. Optimization Theory Appl. 50, 451-461 (1986; Zbl 0577.49004)].
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 4044585
zbMATH Keywords: dynamic response
zbMATH Keywords: Mindlin-Timoshenko plate
MaRDI profile type: Publication
full work available at URL: 0016-0032(87)90376-0
OpenAlex ID: W2065378059
cites work: A Maximum Principle for Nonconservative Self-Adjoint Systems
cites work: Control of the dynamic response of a damped membrane by distributed forces
cites work: Optimal control of a Timoshenko beam by distributed forces
cites work: Active control of elastic plates
cites work: Some Sufficiency Conditions for Pareto-Optimal Control
description: scientific article; zbMATH DE number 4044585