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      The landscape of nonlinear structural dynamics: an introduction

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          Abstract

          Nonlinear behaviour is ever-present in vibrations and other dynamical motions of engineering structures. Manifestations of nonlinearity include amplitude-dependent natural frequencies, buzz, squeak and rattle, self-excited oscillation and non-repeatability. This article primarily serves as an extended introduction to a theme issue in which such nonlinear phenomena are highlighted through diverse case studies. More ambitiously though, there is another goal. Both the engineering context and the mathematical techniques that can be used to identify, analyse, control or exploit these phenomena in practice are placed in the context of a mind-map, which has been created through expert elicitation. This map, which is available in software through the electronic supplementary material, attempts to provide a practitioner’s guide to what hitherto might seem like a vast and complex research landscape.

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          Most cited references46

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          Past, present and future of nonlinear system identification in structural dynamics

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            Chatter in machining processes: A review

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              Nonlinear vibrations of suspended cables—Part I: Modeling and analysis

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                Author and article information

                Journal
                Philos Trans A Math Phys Eng Sci
                Philos Trans A Math Phys Eng Sci
                RSTA
                roypta
                Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
                The Royal Society Publishing
                1364-503X
                1471-2962
                28 September 2015
                28 September 2015
                : 373
                : 2051 , Theme issue ‘A field guide to nonlinearity in structural dynamics’ compiled and edited by T. Butlin, J. Woodhouse and A. Champneys
                : 20140400
                Affiliations
                [1 ]Department of Engineering, University of Cambridge , Trumpington Street, Cambridge CB2 1PZ, UK
                [2 ]Department of Engineering Mathematics, University of Bristol , Queen’s Building, Bristol BS8 1TR, UK
                Author notes

                One contribution of 11 to a theme issue ‘ A field guide to nonlinearity in structural dynamics’.

                Article
                rsta20140400
                10.1098/rsta.2014.0400
                4549938
                26303925
                fdd9f02d-86a6-46b8-b0d2-3a4ee4a64af5
                © 2015 The Authors.

                Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

                History
                : 7 April 2015
                Categories
                1006
                121
                177
                Introduction
                Introduction
                Custom metadata
                September 28, 2015

                nonlinear structural dynamics,mind-map,ontology,vehicle brake squeal,cable-stayed bridges

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