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Structural Dynamics

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 behaviour 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 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. (from nptel.ac.in)

Lecture 26 - Free Vibration for Multi Degree of Freedom Structures (cont.)


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