Fundamentals of Dynamic analysis -Modal analysis, Force and Seismic Response spectrum analysis

The topics that will be covered in this course will be –

1. Fundamental differences between static and dynamic analysis- Governing equations.

2. The concept Mass Matrix. Lumped vs Consistent mass matrices- Mathematical background.

3. Development of differential equations for dynamic analysis in matrix form- Various approaches to arrive at the equations.

4. Development of Modal equations and the concepts of Mode/Mass Participation Factors- Mathematical background.

5. The Response spectrum approach for seismic and non-seismic loads-Mathematical background.

6. Time history analysis- How is it different from Response Spectrum analysis?

7. Drawbacks of commercial pipe stress program w.r.t Dynamic analysis- Some real-life examples. Introduction to the application of Fast Fourier Transform to problems associated with random vibrations.