Structural Dynamics

Instructor: Prof. P. Banerji, Department of Civil Engineering, IIT Bombay.

This course introduces the basic concepts of dynamic loading and the response of structures to such loads and then uses these concepts to illustrate applications in practical structures. It begins with the derivation of the basic equations of motion for an ideal single-degree-of-freedom structure using various approaches, and the solution of these equations for different types of loading, with the emphasis on the physical behavior of the structure to different types of loads to establish simplified methods of analysis. And then, it discusses the numerical methods for response analysis and earthquake response of structures. This naturally then leads to the development of equations for multi-degree-of-freedom structures, with multi‐storied buildings as the example structures, and free and forced vibration response analysis of these multi‐storied buildings. Finally, a simplified analysis of MDOF systems using the concept of generalized single-degree-of-freedom systems and the dynamics of continuous systems are introduced.

Mod-01 Lec-01 Introduction.
Mod-01 Lec-02 Inverse Power Method.
Mod-01 Lec-03 Dynamics of SDOF Structure.
Mod-01 Lec-04 SDOF Response to Harmonic Loads.
Mod-01 Lec-05 Response of SDOF Structure to Harmonic Loading.
Mod-01 Lec-06 Response to Harmonic Loading.
Mod-01 Lec-07 Response to Harmonic Loading(continue..).
Mod-01 Lec-08 Transmissibility & Base Isolation.
Mod-01 Lec-09 Dynamic Characteristics & Periodic Loading.
Mod-01 Lec-10 Pulse Loading.
Mod-01 Lec-11 Pulse Load Response Characteristics & Impulse Loading.
Mod-01 Lec-12 Frequency Domain Response Analysis.
Mod-01 Lec-13 Methods of Analysis for General Loading.
Mod-01 Lec-14 Numerical Analysis of Response of Single Degree of Freedom Structure.
Mod-01 Lec-15 Response Analysis of Single Degree of Freedom System for Earthquake Loads.
Mod-01 Lec-16 Earthquake Response Analysis for Single Degree of Freedom Structures.
Mod-01 Lec-17 Generalized Single Degree of Freedom Systems Equations of Motions.
Mod-01 Lec-18 Generalized Single Degree of Freedom Systems Equations of Motions.
Mod-01 Lec-19 Generalized Single Degree of Freedom Systems Equations of Motions.
Mod-01 Lec-20 Generalized Single Degree of Freedom Systems Equations of Motion & Free Vibrations.
Mod-01 Lec-21 Equations of Motion for Multi Degree of Freedom Structures.
Mod-01 Lec-22 Equations of Motion for Multi Degree of Freedom Systems.
Mod-01 Lec-23 Multi Degree of Freedom Structure Equations of Motions.
Mod-01 Lec-24 Multi Degree of Freedom Structure Equations of Motions & Free Vibration.
Mod-01 Lec-25 Free Vibration for Multi Degree of Freedom Structures.
Mod-01 Lec-26 Free Vibration for Multi Degree of Freedom Structures.
Mod-01 Lec-27 Practical Free Vibration Analysis.
Mod-01 Lec-28 Dynamic Response of Multi Degree of Freedom Systems.
Mod-01 Lec-29 Dynamic Response of Multi Degree of Freedom Structures.
Mod-01 Lec-30 Damping for Multi Degree of Freedom Structures.
Mod-01 Lec-31 Earthquake Response of Multi Degree of Freedom Structures.
Mod-01 Lec-32 Earthquake Response of Multi Degree of Freedom Structures.
Mod-01 Lec-33 Dynamic Analysis of Buildings.
Mod-01 Lec-34 Introduction to Dynamics of Continuous Systems.
Mod-01 Lec-35 Free Vibration Response of Continuous Systems.
Mod-01 Lec-36 Free Vibration & Dynamic Response of Continuous Systems.
Mod-01 Lec-37 Dynamic Response of Continuous Systems.
Mod-01 Lec-38 Examples for Dynamic Response of Continuous Systems.