Table of Contents

Preface

Nomenclature

Chapter 1. Introduction to Damping Models and Analysis Methods

1.1. Models of damping

1.2. Modal analysis of viscously damped systems

1.3. Analysis of non-viscously damped systems

1.4. Identification of viscous damping

1.5. Identification of non-viscous damping

1.6. Parametric sensitivity of eigenvalues and eigenvectors

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

2.2. Single-degree-of-freedom viscously damped systems

2.3. Multiple-degree-of-freedom undamped systems

2.4. Proportionally damped systems

2.5. Non-proportionally damped systems

2.6. Rayleigh quotient for damped systems

2.7. Summary

Chapter 3. Non-Viscously Damped Single-Degree-of-Freedom Systems

3.1. The equation of motion

3.2. Conditions for oscillatory motion

3.3. Critical damping factors

3.4. Characteristics of the eigenvalues

3.5. The frequency response function

3.6. Characteristics of the response amplitude

3.7. 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

4.4. The eigenvalue problem

4.5. Forced vibration response

4.6. Numerical examples

4.7. Direct time-domain approach

4.8. Summary

Chapter 5. Linear Systems with General Non-Viscous Damping ...

Get Structural Dynamic Analysis with Generalized Damping Models: Analysis now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.