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E-grāmata: Structural Dynamic Analysis with Generalized Damping Models - Identification: Identification [Wiley Online]

  • Formāts: 247 pages
  • Sērija : ISTE
  • Izdošanas datums: 03-Dec-2013
  • Izdevniecība: ISTE Ltd and John Wiley & Sons Inc
  • ISBN-10: 111886297X
  • ISBN-13: 9781118862971
Citas grāmatas par šo tēmu:
  • Wiley Online
  • Cena: 168,05 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Formāts: 247 pages
  • Sērija : ISTE
  • Izdošanas datums: 03-Dec-2013
  • Izdevniecība: ISTE Ltd and John Wiley & Sons Inc
  • ISBN-10: 111886297X
  • ISBN-13: 9781118862971
Citas grāmatas par šo tēmu:
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.

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 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.

Preface ix
Nomenclature xiii
Chapter 1 Parametric Sensitivity of Damped Systems
1(42)
1.1 Parametric sensitivity of undamped systems
2(3)
1.1.1 Sensitivity of the eigenvalues
2(1)
1.1.2 Sensitivity of the eigenvectors
3(2)
1.2 Parametric sensitivity of viscously damped systems
5(17)
1.2.1 Sensitivity of the eigenvalues
6(3)
1.2.2 Sensitivity of the eigenvectors
9(13)
1.3 Parametric sensitivity of non-viscously damped systems
22(19)
1.3.1 Sensitivity of the eigenvalues
23(2)
1.3.2 Sensitivity of the eigenvectors
25(16)
1.4 Summary
41(2)
Chapter 2 Identification of Viscous Damping
43(78)
2.1 Identification of proportional viscous damping
44(25)
2.1.1 Damping identification using generalized proportional damping
45(3)
2.1.2 Error propagation in the damping identification method
48(1)
2.1.3 Numerical examples
49(2)
2.1.4 Experimental results
51(16)
2.1.5 Synopsis
67(2)
2.2 Identification of non-proportional viscous damping
69(22)
2.2.1 The theory of damping identification
71(4)
2.2.2 Numerical examples
75(13)
2.2.3 Error analysis
88(2)
2.2.4 Synopsis
90(1)
2.3 Symmetry-preserving damping identification
91(13)
2.3.1 The theory of symmetric damping matrix identification
91(6)
2.3.2 Numerical examples
97(7)
2.3.3 Synopsis
104(1)
2.4 Direct identification of the damping matrix
104(14)
2.4.1 The modified Lancaster's method
105(6)
2.4.2 Numerical examples
111(6)
2.4.3 Synopsis
117(1)
2.5 Summary
118(3)
Chapter 3 Identification of Non-viscous Damping
121(48)
3.1 Identification of exponential non-viscous damping model
123(28)
3.1.1 Background of complex modes
123(2)
3.1.2 Fitting of the relaxation parameter
125(15)
3.1.3 Fitting of the coefficient matrix
140(9)
3.1.4 Synopsis
149(2)
3.2 Symmetry preserving non-viscous damping identification
151(9)
3.2.1 Theory
151(4)
3.2.2 Numerical examples
155(4)
3.2.3 Synopsis
159(1)
3.3 Direct identification of non-viscous damping
160(8)
3.3.1 Lancaster's method for non-viscously damped systems
161(4)
3.3.2 Numerical examples
165(2)
3.3.3 Synopsis
167(1)
3.4 Summary
168(1)
Chapter 4 Quantification of Damping
169(44)
4.1 Quantification of non-proportional damping
169(24)
4.1.1 Optimal normalization of complex modes
171(11)
4.1.2 An index of non-proportionality
182(5)
4.1.3 Alternative normalization methods
187(6)
4.1.4 Synopsis
193(1)
4.2 Quantification of non-viscous damping
193(18)
4.2.1 Non-viscosity indices
195(8)
4.2.2 Numerical examples
203(5)
4.2.3 Error analysis
208(3)
4.2.4 Synopsis
211(1)
4.3 Summary
211(2)
Bibliography 213(30)
Author Index 243(2)
Index 245
Sara J. Wilkinson is Associate Professor of Property and Construction at the University of Technology, Sydney, Australia

Hilde Remųy is Assistant Professor of Real Estate Management at Delft University of Technology, The Netherlands

Craig Langston is Professor of Construction and Facilities Management at Bond University, Queensland, Australia