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Structural Dynamics

Structural Dynamics. Instructor: Prof. Ramancharla Pradeep Kumar, Department of Earthquake Engineering Research Centre, IIT Hyderabad. This course will study the effect of dynamic loads on structures, how structures behave, and what is the response of the structures. Topics covered in this course include: Dynamic equilibrium equation of structures; Response of a single degree of freedom system to dynamic excitation: free vibration, harmonic loads, pulses and earthquakes; Generation response spectra; Response of multi-degree of freedom systems; Vibration control technique; Dynamic behaviour of non-structural element. (from nptel.ac.in)

Lecture 07 - Damped Free Vibration


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Basics of Structural Dynamics
Lecture 01 - Introduction
Lecture 02 - Types of Analysis
Lecture 03 - Degrees of Freedom
Lecture 04 - Vibrations of Single Degree of Freedom Systems
Lecture 05 - Methods Solution of Equilibrium Equation
Free Vibrations
Lecture 06 - Undamped Free Vibration
Lecture 07 - Damped Free Vibration
Lecture 08 - Types of Damping
Lecture 09 - Logarithmic Decrement
Lecture 10 - Dynamic Equilibrium Equation using Energy Method
Forced Vibrations
Lecture 11 - Undamped Forced Vibration
Lecture 12 - Damped Forced Vibration
Lecture 13 - Relationship between Rd, Rv and Ra
Lecture 14 - Resonant Frequency and Half Power Bandwidth
Lecture 15 - Transmissibility
Response to Arbitrary Force
Lecture 16 - Response to Arbitrary Force
Lecture 17 - Special Cases in Arbitrary Force
Lecture 18 - Fourier Transformation
Numerical Methods
Lecture 19 - Numerical Methods
Lecture 20 - Methods based on Interpolation of Excitation
Lecture 21 - Central Difference Method
Lecture 22 - Numerical Methods based on Variation of Acceleration: Newmark's Method
Lecture 23 - Central Difference Method (Tutorial)
Response Spectrum
Lecture 24 - Response Spectrum
Lecture 25 - Special Cases of Response Spectrum
Lecture 26 - Development of Tripartite Plot
MDOF Systems
Lecture 27 - Multi Degree of Freedom Systems
Lecture 28 - Multi Degree of Freedom Systems: Solution of Equilibrium Equation
Lecture 29 - Multi Degree of Freedom Systems: Modal Orthogonality
Lecture 30 - Approximate Methods for Finding Natural Frequency
Lecture 31 - Tutorial: Generation of Mass Matrix
Lecture 32 - Tutorial: Eigenvector and Orthogonality
Earthquake Analysis
Lecture 33 - Time History Analysis
Lecture 34 - Response Spectrum Analysis
3D Dynamic Analysis
Lecture 35 - Three Dimensional Dynamic Analysis
Lecture 36 - Generation of Elastic Design Response Spectra
Lecture 37 - Centre of Mass and Centre of Stiffness
Continuous Systems
Lecture 38 - Vibration of Continuous Systems
Lecture 39 - Example Problem on Continuous System
Lecture 40 - Theory of Seismometer
Non-structural Elements
Lecture 41 - Dynamics of Non-structural Elements
Lecture 42 - Non-structural Elements: Example
Vibration Control
Lecture 43 - Classical and Non-classical Damping
Lecture 44 - Vibration Control
Lecture 45 - Base Isolation
Lecture 46 - Tuned Mass Damper