This document outlines a 12-week course on structural dynamics that covers topics like the dynamics of single and multi-degree of freedom systems, continuous systems, rigid blocks, and vibration control. Over the course of the weeks, topics like undamped and damped free vibrations, forced vibrations, response to arbitrary forces, numerical methods, response spectra, earthquake analysis, 3D dynamic analysis, non-structural elements, and active and passive vibration control will be examined. The contents are meant for learning purposes only and not to be shared with others or reproduced without permission.

1. Structural Dynamics
Week 1: Module 01
Ramancharla Pradeep Kumar
Earthquake Engineering Research Centre
IIIT Hyderabad
Introduction to Structural Dynamics

2. Outline
• Dynamics of Single Degree of Freedom Systems
• Dynamics of Multi-degree of Freedom Systems
• Dynamics of Continuous Systems
• Dynamics of Rigid Blocks
• Vibration Control

3. Week 1: Free Vibrations
Introduction of Structural Dynamics
Types of Analysis
Degrees of Freedom/Stiffness
Vibrations of SDOF Systems
Dynamic Equilibrium Equation and its Solution
Undamped free Vibration

4. Week 2: Free Vibrations
Damped free vibration
Types of damping
Logarithmic decrement equation
Dynamic equilibrium equation by energy method

5. Week 3: Forced Vibrations
Undamped Forced vibration
Damped Forced vibration
Relationship between Rd, Rv and Racc
Resonant frequency and Half power band width
Transmissibility

6. Week 4: Response to Arbitrary Force
Response to Arbitrary Force
Special Cases of Arbitrary Force
Fourier Transform

7. Week 5: Numerical Methods
Numerical Methods
Methods Based on Interpolation
Methods Based on Finite Differences
Central Difference Method
Methods Based on Variation of Acceleration
Newmark's Method

8. Week 6: Response Spectrum
Response Spectrum
Special Cases
Development of Tripartite Plot
Power Spectral Density Function

9. Week 7: MDOF Systems
Multi-degree of freedom
Solution of Equilibrium Equation
Modal Orthogonality
Approximate Method for finding Natural frequency

10. Week 8: Earthquake Analysis
Time History Analysis
Response Spectrum Analysis

11. Week 9: 3D Dynamic Analysis
3D Dynamic Analysis
Fourier Transform
Response of Structure in Frequency Domain

12. Week 10: Continuous Systems
Vibration of Continuous systems
Example Problem on Continuous system
Measurement of Earthquake

13. Week 11: Non-Structural Elements
Non Structural Elements
Example: NSE

14. Week 12: Vibration Control
Classical and non-classical Damping
Vibration Control
Active Control
Passive Control

15. Summary…

16. Summary
• Dynamics of Single Degree of Freedom Systems
• Dynamics of Multi-degree of Freedom Systems
• Dynamics of Continuous Systems
• Dynamics of Rigid Blocks
• Vibration Control

17. The contents of the presentation are meant only
for learning and not to be shared with others.
They are not to be reproduced in any form for
any purpose.
For queries, kindly contact
R Pradeep Kumar
Professor of Civil Engineering & Head
Earthquake Engineering Research Centre
IIIT Hyderabad
Mobile: 93911 31199
Landline: 040 6653 1309
eMail: ramancharla@iiit.ac.in
17Thank you…