Structural Dynamic Analysis with Generalized Damping Models

Identification

Inbunden, Engelska, 2013

AvSondipon Adhikari

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Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The Theory of Sound" in 1877, it has become standard practice to use this approach in dynamics, covering a wide range of applications from aerospace to civil engineering. However, in the majority of practical cases this approach is adopted more for mathematical convenience than for modeling the physics of vibration damping.Over the past decade, extensive research has been undertaken on more general “non-viscous” damping models and vibration of non-viscously damped systems. This book, along with a related book Structural Dynamic Analysis with Generalized Damping Models: Analysis, is the first comprehensive study to cover vibration problems with general non-viscous damping. The author draws on his considerable research experience to produce a text covering: parametric senistivity of damped systems; identification of viscous damping; identification of non-viscous damping; and some tools for the quanitification of damping. The book is written from a vibration theory standpoint, with numerous worked examples which are relevant across a wide range of mechanical, aerospace and structural engineering applications.Contents1. Parametric Sensitivity of Damped Systems.2. Identification of Viscous Damping.3. Identification of Non-viscous Damping.4. Quantification of Damping.About the AuthorsSondipon Adhikari is Chair Professor of Aerospace Engineering at Swansea University, Wales. His wide-ranging and multi-disciplinary research interests include uncertainty quantification in computational mechanics, bio- and nanomechanics, dynamics of complex systems, inverse problems for linear and nonlinear dynamics, and renewable energy. He is a technical reviewer of 97 international journals, 18 conferences and 13 funding bodies.He has written over 180 refereed journal papers, 120 refereed conference papers and has authored or co-authored 15 book chapters.

Produktinformation

Utgivningsdatum2013-12-03
Mått160 x 241 x 28 mm
Vikt599 g
FormatInbunden
SpråkEngelska
Antal sidor247
FörlagISTE Ltd and John Wiley & Sons Inc
ISBN9781848216709

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Preface ix Nomenclature xiiiChapter 1. Parametric Sensitivity of Damped Systems 11.1. Parametric sensitivity of undamped systems 21.1.1. Sensitivity of the eigenvalues 21.1.2. Sensitivity of the eigenvectors 31.2. Parametric sensitivity of viscously damped systems 51.2.1. Sensitivity of the eigenvalues 61.2.2. Sensitivity of the eigenvectors 91.3. Parametric sensitivity of non-viscously damped systems 221.3.1. Sensitivity of the eigenvalues 231.3.2. Sensitivity of the eigenvectors 251.4. Summary 41Chapter 2. Identification of Viscous Damping 432.1. Identification of proportional viscous damping 442.1.1. Damping identification using generalized proportional damping 452.1.2. Error propagation in the damping identification method 482.1.3. Numerical examples 492.1.4. Experimental results 512.1.5. Synopsis 672.2. Identification of non-proportional viscous damping 692.2.1. The theory of damping identification 712.2.2. Numerical examples 752.2.3. Error analysis 882.2.4. Synopsis 902.3. Symmetry-preserving damping identification 912.3.1. The theory of symmetric damping matrix identification 912.3.2. Numerical examples 972.3.3. Synopsis 1042.4. Direct identification of the damping matrix 1042.4.1. The modified Lancaster’s method 1052.4.2. Numerical examples 1112.4.3. Synopsis 1172.5. Summary 118Chapter 3. Identification of Non-viscous Damping 1213.1. Identification of exponential non-viscous damping model 1233.1.1. Background of complex modes 1233.1.2. Fitting of the relaxation parameter 1253.1.3. Fitting of the coefficient matrix 1403.1.4. Synopsis 1493.2. Symmetry preserving non-viscous damping identification 1513.2.1. Theory 1513.2.2. Numerical examples 1553.2.3. Synopsis 1593.3. Direct identification of non-viscous damping 1603.3.1. Lancaster’s method for non-viscously damped systems 1613.3.2. Numerical examples 1653.3.3. Synopsis 1673.4. Summary 168Chapter 4. Quantification of Damping 1694.1. Quantification of non-proportional damping 1694.1.1. Optimal normalization of complex modes 1714.1.2. An index of non-proportionality 1824.1.3. Alternative normalization methods 1874.1.4. Synopsis 1934.2. Quantification of non-viscous damping 1934.2.1. Non-viscosity indices 1954.2.2. Numerical examples 2034.2.3. Error analysis 2084.2.4. Synopsis 2114.3. Summary 211Bibliography 213Author Index 243Index 245