Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam bending with end-bodies
type: Item
instance of: scholarly article
title: Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam bending with end-bodies
zbMATH Open document ID: 0706.73059
DOI: 10.1007/BF01445168
author: A. V. Balakrishnan
published in: Applied Mathematics and Optimization
publication date: 1990-01-01T00:00:00Z
review text: The bending of a uniform Bernoulli beam clamped at one end and subject to control forces and moments at the other end is considered in a Hilbert space. Based on a set of his previous papers [e.g.: Lect. Notes Control Inf. Sci. 100, 18-37 (1988; Zbl 0648.93041)], for the case in which the damping is strictly proportional to the mode of frequency, the author presents an explicit calculation of the square root of the stiffness operator. The procedure is of great interest for optimization of active controllers of flexible structures.
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 4160258
zbMATH Keywords: uniform Bernoulli beam
zbMATH Keywords: square root
zbMATH Keywords: stiffness operator
zbMATH Keywords: optimization of active controllers
zbMATH Keywords: flexible structures
reviewed by: Sergiu T. Chiriacescu
MaRDI profile type: Publication
cites work: Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam torsion
cites work: Fractional powers of closed operators and the semigroups generated by them
cites work: Q3977343
cites work: Singular perturbation and boundary layer for an abstract Cauchy problem
cites work: Q3794033
cites work: Proof of extensions of two conjectures on structural damping for elastic systems
full work available at URL: https://doi.org/10.1007/bf01445168
OpenAlex ID: W2082864908
description: scientific article; zbMATH DE number 4160258