Adhikari Structural Dynamic Analysis with Generalized Damping Models

Identification
1. Auflage 2014
ISBN: 978-1-118-86302-2
Verlag: John Wiley & Sons
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 248 Seiten, E-Book

Since Lord Rayleigh introduced the idea of viscous damping in hisclassic work "The Theory of Sound" in 1877, it has become standardpractice to use this approach in dynamics, covering a wide range ofapplications from aerospace to civil engineering. However, in themajority of practical cases this approach is adopted more formathematical convenience than for modeling the physics of vibrationdamping.
Over the past decade, extensive research has been undertaken onmore general "non-viscous" damping models and vibrationof non-viscously damped systems. This book, along with a relatedbook Structural Dynamic Analysis with Generalized Damping Models:Analysis, is the first comprehensive study to cover vibrationproblems with general non-viscous damping. The author draws on hisconsiderable research experience to produce a text covering:parametric senistivity of damped systems; identification of viscousdamping; identification of non-viscous damping; and some tools forthe quanitification of damping. The book is written from avibration theory standpoint, with numerous worked examples whichare relevant across a wide range of mechanical, aerospace andstructural engineering applications.
Contents
1. Parametric Sensitivity of Damped Systems.
2. Identification of Viscous Damping.
3. Identification of Non-viscous Damping.
4. Quantification of Damping.
About the Authors
Sondipon Adhikari is Chair Professor of Aerospace Engineering atSwansea University, Wales. His wide-ranging and multi-disciplinaryresearch interests include uncertainty quantification incomputational mechanics, bio- and nanomechanics, dynamics ofcomplex systems, inverse problems for linear and nonlineardynamics, and renewable energy. He is a technical reviewer of 97international journals, 18 conferences and 13 funding bodies.He haswritten over 180 refereed journal papers, 120 refereed conferencepapers and has authored or co-authored 15 book chapters.

Autoren/Hrsg.

Adhikari, Sondipon

Inhaltsverzeichnis

Preface ix
Nomenclature xiii
Chapter 1. Parametric Sensitivity of Damped Systems 1
1.1. Parametric sensitivity of undamped systems 2
1.1.1. Sensitivity of the eigenvalues 2
1.1.2. Sensitivity of the eigenvectors 3
1.2. Parametric sensitivity of viscously damped systems 5
1.2.1. Sensitivity of the eigenvalues 6
1.2.2. Sensitivity of the eigenvectors 9
1.3. Parametric sensitivity of non-viscously damped systems22
1.3.1. Sensitivity of the eigenvalues 23
1.3.2. Sensitivity of the eigenvectors 25
1.4. Summary 41
Chapter 2. Identification of Viscous Damping 43
2.1. Identification of proportional viscous damping 44
2.1.1. Damping identification using generalized proportionaldamping 45
2.1.2. Error propagation in the damping identificationmethod 48
2.1.3. Numerical examples 49
2.1.4. Experimental results 51
2.1.5. Synopsis 67
2.2. Identification of non-proportional viscous damping 69
2.2.1. The theory of damping identification 71
2.2.2. Numerical examples 75
2.2.3. Error analysis 88
2.2.4. Synopsis 90
2.3. Symmetry-preserving damping identification 91
2.3.1. The theory of symmetric damping matrixidentification 91
2.3.2. Numerical examples 97
2.3.3. Synopsis 104
2.4. Direct identification of the damping matrix 104
2.4.1. The modified Lancaster's method 105
2.4.2. Numerical examples 111
2.4.3. Synopsis 117
2.5. Summary 118
Chapter 3. Identification of Non-viscous Damping 121
3.1. Identification of exponential non-viscous dampingmodel 123
3.1.1. Background of complex modes 123
3.1.2. Fitting of the relaxation parameter 125
3.1.3. Fitting of the coefficient matrix 140
3.1.4. Synopsis 149
3.2. Symmetry preserving non-viscous dampingidentification 151
3.2.1. Theory 151
3.2.2. Numerical examples 155
3.2.3. Synopsis 159
3.3. Direct identification of non-viscous damping 160
3.3.1. Lancaster's method for non-viscously dampedsystems 161
3.3.2. Numerical examples 165
3.3.3. Synopsis 167
3.4. Summary 168
Chapter 4. Quantification of Damping 169
4.1. Quantification of non-proportional damping 169
4.1.1. Optimal normalization of complex modes 171
4.1.2. An index of non-proportionality 182
4.1.3. Alternative normalization methods 187
4.1.4. Synopsis 193
4.2. Quantification of non-viscous damping 193
4.2.1. Non-viscosity indices 195
4.2.2. Numerical examples 203
4.2.3. Error analysis 208
4.2.4. Synopsis 211
4.3. Summary 211
Bibliography 213
Author Index 243
Index 245

Über Autor(innen)

Sara J. Wilkinson is Associate Professor of Property andConstruction at the University of
Technology, Sydney, Australia
Hilde Remøy is Assistant Professor of Real EstateManagement at Delft University of
Technology, The Netherlands
Craig Langston is Professor of Construction and FacilitiesManagement at Bond University,
Queensland, Australia