Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
type: Item
instance of: scholarly article
title: Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
zbMATH Open document ID: 1170.70001
author: A. F. Vakakis
author: Lawrence Bergman
author: D. Michael McFarland
author: G. Kerschen
author: Young Sup Lee
author: Oleg V. Gendelman
published in: Solid Mechanics and Its Applications
publication date: 2008-12-10T00:00:00Z
review text: Two volumes of this monograph present an original approach to the problems of passive vibration control of dissipative mechanical and structural systems subjected to broadband transient inputs, including topics of targeted energy transfer (TET) and nonlinear energy sink (NES). The authors explain experimental, analytical and computational methods needed to formulate and study TET and NES phenomena in mechanical and structural systems. Natural processes involve to a certain extent some types of energy transfer. TETs, where energy of some form is directed from a source (donor) to a receiver (recipient) in a one-way irreversible fashion, govern a broad range of physical phenomena. Such flow of energy from the linear system to an attachment, which acts, in effect, as a NES, can be considered as a passive adaptive broadband boundary controller. This monograph is intended for scientists and mechanical and civil engineers who have a general knowledge of analytical dynamics and ordinary and partial differential equations, as well as integro-differential equations. Systems of such equations are used by the authors to describe TET and NES phenomena in mechanical and structural systems, what determines the advantage of this monograph from mathematical point of view. The first and second volumes consist of eleven chapters including introduction as Chapter 1 and postscript as Chapter 11. Chapter 2 includes the topics for discussion of localisation in mechanical systems, the concepts of nonlinear normal modes and resonance capture, as well as a survey of the complexification-averaging technique which is frequently employed here. Chapter 3 provides a theoretical basis for the study of TET including the analysis in the simplest system that can exhibit this phenomenon, namely a single-degree-of-freedom (SDOF) linear oscillator, as well as theoretical results on TET in multi-degree-of-freedom (MDOF) linear oscillators. Chapter 4 analyzes discrete linear oscillators with MDOF essentia…
Mathematics Subject Classification ID: 70-02
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 74Kxx
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 5380157
zbMATH Keywords: passive vibration control
zbMATH Keywords: nonlinear energy sink
zbMATH Keywords: vibration isolation
zbMATH Keywords: seismic mitigation
reviewed by: Jerzy August Gawinecki
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5380157