Cover image for Structural Dynamic Analysis with Generalized Damping Models : Identification.
Structural Dynamic Analysis with Generalized Damping Models : Identification.
Title:
Structural Dynamic Analysis with Generalized Damping Models : Identification.
Author:
Adhikari , Sondipon.
ISBN:
9781118863039
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (269 pages)
Contents:
Cover -- Title Page -- Contents -- Preface -- Nomenclature -- Chapter 1. Parametric Sensitivity of Damped Systems -- 1.1. Parametric sensitivity of undamped systems -- 1.1.1. Sensitivity of the eigenvalues -- 1.1.2. Sensitivity of the eigenvectors -- 1.2. Parametric sensitivity of viscously damped systems -- 1.2.1. Sensitivity of the eigenvalues -- 1.2.2. Sensitivity of the eigenvectors -- 1.3. Parametric sensitivity of non-viscously damped systems -- 1.3.1. Sensitivity of the eigenvalues -- 1.3.2. Sensitivity of the eigenvectors -- 1.4. Summary -- Chapter 2. Identification of Viscous Damping -- 2.1. Identification of proportional viscous damping -- 2.1.1. Damping identification using generalized proportional damping -- 2.1.2. Error propagation in the damping identification method -- 2.1.3. Numerical examples -- 2.1.4. Experimental results -- 2.1.5. Synopsis -- 2.2. Identification of non-proportional viscous damping -- 2.2.1. The theory of damping identification -- 2.2.2. Numerical examples -- 2.2.3. Error analysis -- 2.2.4. Synopsis -- 2.3. Symmetry-preserving damping identification -- 2.3.1. The theory of symmetric damping matrix identification -- 2.3.2. Numerical examples -- 2.3.3. Synopsis -- 2.4. Direct identification of the damping matrix -- 2.4.1. The modified Lancaster's method -- 2.4.2. Numerical examples -- 2.4.3. Synopsis -- 2.5. Summary -- Chapter 3. Identification of Non-viscous Damping -- 3.1. Identification of exponential non-viscous damping model -- 3.1.1. Background of complex modes -- 3.1.2. Fitting of the relaxation parameter -- 3.1.3. Fitting of the coefficient matrix -- 3.1.4. Synopsis -- 3.2. Symmetry preserving non-viscous damping identification -- 3.2.1. Theory -- 3.2.2. Numerical examples -- 3.2.3. Synopsis -- 3.3. Direct identification of non-viscous damping.

3.3.1. Lancaster's method for non-viscously damped systems -- 3.3.2. Numerical examples -- 3.3.3. Synopsis -- 3.4. Summary -- Chapter 4. Quantification of Damping -- 4.1. Quantification of non-proportional damping -- 4.1.1. Optimal normalization of complex modes -- 4.1.2. An index of non-proportionality -- 4.1.3. Alternative normalization methods -- 4.1.4. Synopsis -- 4.2. Quantification of non-viscous damping -- 4.2.1. Non-viscosity indices -- 4.2.2. Numerical examples -- 4.2.3. Error analysis -- 4.2.4. Synopsis -- 4.3. Summary -- Bibliography -- Author Index -- Index.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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