## Book description

This book is designed for undergraduate and graduate students taking a first course in Dynamics of Structures, Structural Dynamics or Earthquake Engineering. It includes several topics on the theory of structural dynamics and the applications of this theory to the analysis of buildings, bridges, towers and other structures subjected to dynamic and earthquake forces. This comprehensive text demonstrates the applications of numerical solution techniques to a large variety of practical, real-world problems under dynamic loads.

1. Cover
2. Title Page
3. Dedication
4. Contents
5. Preface
6. About the Author
7. Part 1 Single degree of Freedom Systems
1. Chapter 1 Introduction to Structural Dynamics
1. 1.1 Introduction
2. 1.2 Physical and Mathematical Modelling
3. 1.3 Discrete and Continuum Modelling
4. 1.4 Laws of Equilibrium
6. 1.6 Solution of Equation of Motion
7. 1.7 Illustrative Examples
8. Problems
2. Chapter 2 Single Degree of Freedom System: Free Vibrations
1. 2.1 Introduction
2. 2.2 Single Degree of Freedom System (SDOF)34
3. 2.3 MATLAB Applications
4. 2.4 Illustrative Examples
5. 2.5 Viscous Damping
6. 2.6 Coulomb Damping
7. Problems
3. Chapter 3 Single Degree of Freedom System: Harmonic Loading
1. 3.1 Introduction
2. 3.2 Undamped Forced Vibrations
3. 3.3 Damped Forced Vibrations
4. 3.4 MATLAB Applications
5. 3.5 Resonant Response
6. 3.6 Measurement of Viscous Damping
7. 3.7 Measurement of Coulomb Damping
8. 3.8 Illustrative Examples
9. Problems
4. Chapter 4 Single Degree of Freedom System: Periodic Loading
1. 4.1 Introduction
2. 4.2 Fourier Series
3. 4.3 Undamped System
4. 4.4 Damped System
5. 4.5 Exponential form of Fourier Series Solution
6. 4.6 Frequency Domain Analysis
7. 4.7 Illustrative Examples
8. 4.8 MATLAB Applications
9. 4.9 Human-induced Vibrations in Structures
10. 4.10 Codal Provisions for Human Induced Vibrations
11. Problems
12. References
5. Chapter 5 Single Degree of Freedom System: Impulse Loading
6. Chapter 6 Single Degree of Freedom System: Machine Vibrations
1. 6.1 Introduction
2. 6.2 Vibration Isolation Due to Base Excitation
3. 6.3 Vibration Isolation Due to Rotating Unbalance
4. 6.4 Application to Earthquake Engineering
5. 6.5 I.S. Code on Machine Foundations
6. 6.6 Illustrative Examples
7. Problems
8. References
7. Chapter 7 Direct Integration of Equation of Motion
1. 7.1 Introduction
2. 7.2 Algorithms
3. 7.3 Constant Acceleration Method
4. 7.4 Central Difference Method
5. 7.5 Incremental Equation of Motion
6. 7.6 Linear Acceleration Method
7. 7.7 Newmark β Method
8. 7.8 Wilson θ Method
9. 7.9 Nonlinear Problems
10. Problems
8. Chapter 8 Elastic Response Spectra
1. 8.1 Introduction
2. 8.2 Mathematical Background
3. 8.3 Elastic Response Spectra
4. 8.4 Fourier Amplitude Spectra
5. 8.5 Design Response Spectra
6. 8.6 Housnerâs Average Spectra
7. 8.7 Tripartite Graph
8. 8.8 Elastic Design Tripartite Spectra
9. 8.9 Indian Code:1893 Part 1-2002253
10. Problems
11. References
8. Part 2 Multi-degree of Freedom Systems
1. Chapter 9 Two-degree of Freedom Systems
1. 9.1 Introduction
2. 9.2 Undamped Free Vibrations
3. 9.3 Undamped Forced Vibrations
4. 9.4 Damped Forced Vibrations
5. 9.5 Undamped Vibration Absorber
6. 9.6 Tuned Vibration Absorber
7. 9.7 Illustrative Examples
8. Problems
2. Chapter 10 Multi-degree of Freedom Systems
1. 10.1 Introduction
2. 10.2 Spring Mass Model: Mdof System
3. 10.3 Holtzer Method
4. 10.4 Dynamic Equilibrium Condition: Mdof System
5. 10.5 Undamped Free Vibration Analysis
6. 10.6 Transformation of Eigenvalue Problem to Standard Form
7. 10.7 Normal Coordinates
8. 10.8 Uncoupled Equations of Motion
9. 10.9 Solution of Undamped Free Vibration Analysis
10. 10.10 Response Spectrum Analysis
11. 10.11 Illustrative Examples
12. 10.12 Rayleigh Damping
13. Problems
3. Chapter 11 Systems with Distributed Mass and Elasticity
9. Part 3 Application to Earthquake Engineering
1. Chapter 12 Analysis of Buildings for Earthquake Force
1. 12.1 Introduction
2. 12.2 What is a Building?390
3. 12.3 Structural Systems
4. 12.4 Concrete Frame and Shear Walls
5. 12.5 Member Proportions
6. 12.6 Irregularity in Configurations of Buildings
7. 12.7 Modelling of a Building
8. 12.8 Base Shear in a Building
9. 12.9 Fundamental Period of Vibration
10. 12.10 Earthquake Force
11. 12.11 Response Reduction Factor
12. 12.12 Building on Stilts
13. 12.13 Deflection and Separation of Buildings
14. 12.14 Illustrative Examples
15. 12.15 Special Devices
16. Problems
17. References
2. Chapter 13 Nonlinear Analysis of Structures
1. 13.1 Introduction
2. 13.2 Overview of Nonlinearity
3. 13.3 Modeling for Nonlinear Analysis
4. 13.4 Nonlinear Analysis
5. 13.5 Illustrative Examples
6. 13.6 Inelastic Response Spectra
7. 13.7 Smoothened Inelastic Response Spectra
8. 13.8 Illustrative Examples
9. 13.9 Energy Dissipation Systems
10. 13.10 Modeling of Expansion Gap in Bridges
11. 13.11 Illustrative Examples
12. Problems
13. References â Further Reading
3. Chapter 14 Performance-based Seismic Design of Structures
1. 14.1 Introduction
2. 14.2 Performance-based Seismic Design
3. 14.3 Acceptable Risk in an Earthquake
4. 14.4 Requirements for Seismic Rehabilitation
5. 14.5 Nonlinear Procedures
6. 14.6 Stressâstrain Curve for Concrete Section
7. 14.7 Moment-curvature Curve for Concrete Section
8. 14.8 Axial Forceâmoment Interaction Curves for Concrete
9. 14.9 Acceleration-displacement Response Spectra (ADRS)545
10. 14.10 Illustrative Examples
11. Problems
12. References â Further Reading
10. Part 4 Wind Load
1. Chapter 15 Wind Load
1. 15.1 Introduction
2. 15.2 Terminology
3. 15.3 Wind Load
4. 15.4 Static Wind Pressure
5. 15.5 Illustrative Examples
6. 15.6 Dynamic Wind Pressure
7. 15.7 Illustrative Examples
8. 15.8 Wind Load on a Truss Bridge
9. 15.9 Response of Structures to Wind Load
10. Problems
11. References â Further Reading
11. Appendix 1 Measuring Earthquakes: Magnitude and Intensity
12. Appendix 2 MATLAB Basics
13. Answers to Selected Problems

## Product information

• Title: Dynamics of structures with MATLAB® applications
• Author(s): Ashok K. Jain
• Release date: March 2016
• Publisher(s): Pearson Education India
• ISBN: 9789332579101