Nonlinear vibration with control. For flexible and adaptive structures
type: Item
instance of: scholarly article
title: Nonlinear vibration with control. For flexible and adaptive structures
zbMATH Open document ID: 1315.74002
DOI: 10.1007/978-3-319-10644-1
published in: Solid Mechanics and Its Applications
publication date: 2014-12-30T00:00:00Z
review text: This book covers nonlinear vibrations of elastics structures, beams, plates, shells and cables. It provides relevant control techniques for elastic and adaptive structures. The present second edition is updated to include some recent developments in control such as switching and continuous schemes (for the review of the 1st edition see [(2010; Zbl 1180.74004)]). Approximate analytic techniques such as perturbation methods are complemented by adding a normal transformation method for weakly nonlinear vibrations. The book essentially consists of two parts. The first part (Chapters 1--5) deals with basic topics in nonlinear vibrations, control of nonlinear vibrations (Chapters 1--3) and approximate methods such as perturbation methods and normal form transformations. In the second part (Chapters 6--8), small deflection equations and nonlinear equations for beams, cables, plates and shells are presented. A selection of control problems arising from nonlinear vibrations of these structures are studied. Some adaptive structure applications are also presented. Selected examples and problems are inserted at places, however, more exercises could have been added to the reader's benefit. In any case, the present book is a good source of material for a graduate course in this area. It may also serve as a useful reference for researchers working in control theory of nonlinear vibrations.
reviewed by: F. D. Zaman
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 6382714
zbMATH Keywords: adaptive control
zbMATH Keywords: switching
zbMATH Keywords: normal transformation method
zbMATH Keywords: perturbation method
author: David J. Wagg
author: Simon A. Neild
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-10644-1
OpenAlex ID: W4300140782
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description: scientific article; zbMATH DE number 6382714