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Structural dynamic analysis with generalized damping models : analysis / Sondipon Adhikari
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mechanical engineering and solid mechanics seriesPublisher: London, UK : ISTE, 2014Edition: Online-AusgDescription: Online-Ressource (1 online resource (1 online resource (xx, 247 pages))) : illustrations (black and white)ISBN:- 9781306204118
- 1306204119
- 9781848215214
- 9781118572078
- 620.37015118
- 519.2/3 519.23
- 624.171
- TA355
- QA274
Contents:
Summary: 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 StrPPN: PPN: 807206733Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE
Cover; Title page; Table of Contents; Preface; Nomenclature; Chapter 1. Introduction to Damping Models and Analysis Methods; 1.1. Models of damping; 1.1.1. Single-degree-of-freedom systems; 1.1.2. Continuous systems; 1.1.3. Multiple-degrees-of-freedom systems; 1.1.4. Other studies; 1.2. Modal analysis of viscously damped systems; 1.2.1. The state-space method; 1.2.2. Methods in the configuration space; 1.3. Analysis of non-viscously damped systems; 1.3.1. State-space-based methods; 1.3.2. Time-domain-based methods; 1.3.3. Approximate methods in the configuration space
1.4. Identification of viscous damping1.4.1. Single-degree-of-freedom systems; 1.4.2. Multiple-degrees-of-freedom systems; 1.5. Identification of non-viscous damping; 1.6. Parametric sensitivity of eigenvalues and eigenvectors; 1.6.1. Undamped systems; 1.6.2. Damped systems; 1.7. Motivation behind this book; 1.8. Scope of the book; Chapter 2. Dynamics of Undamped and Viscously Damped Systems; 2.1. Single-degree-of-freedom undamped systems; 2.1.1. Natural frequency; 2.1.2. Dynamic response; 2.2. Single-degree-of-freedom viscously damped systems; 2.2.1. Natural frequency
2.2.2. Dynamic response2.3. Multiple-degree-of-freedom undamped systems; 2.3.1. Modal analysis; 2.3.2. Dynamic response; 2.4. Proportionally damped systems; 2.4.1. Condition for proportional damping; 2.4.2. Generalized proportional damping; 2.4.3. Dynamic response; 2.5. Non-proportionally damped systems; 2.5.1. Free vibration and complex modes; 2.5.2. Dynamic response; 2.6. Rayleigh quotient for damped systems; 2.6.1. Rayleigh quotients for discrete systems; 2.6.2. Proportional damping; 2.6.3. Non-proportional damping; 2.6.4. Application of Rayleigh quotients; 2.6.5. Synopses; 2.7. Summary
Chapter 3. Non-Viscously Damped Single-Degree-of-Freedom Systems3.1. The equation of motion; 3.2. Conditions for oscillatory motion; 3.3. Critical damping factors; 3.4. Characteristics of the eigenvalues; 3.4.1. Characteristics of the natural frequency; 3.4.2. Characteristics of the decay rate corresponding to the oscillating mode; 3.4.3. Characteristics of the decay rate corresponding to the non-oscillating mode; 3.5. The frequency response function; 3.6. Characteristics of the response amplitude; 3.6.1. The frequency for the maximum response amplitude
3.6.2. The amplitude of the maximum dynamic response3.7. Simplified analysis of the frequency response function; 3.8. Summary; Chapter 4. Non-viscously Damped Multiple-Degree-of-Freedom Systems; 4.1. Choice of the kernel function; 4.2. The exponential model for MDOF non-viscously damped systems; 4.3. The state-space formulation; 4.3.1. Case A: all coefficient matrices are of full rank; 4.3.2. Case B: coefficient matrices are rank deficient; 4.4. The eigenvalue problem; 4.4.1. Case A: all coefficient matrices are of full rank; 4.4.2. Case B: coefficient matrices are rank deficient
4.5. Forced vibration response
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