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Course10510120929 lectures

Dynamics of Structures

Prof. Manish Kumar · IIT Bombay

Start with lecture 1 At NPTEL

About

This course will focus on characterizing the behavior of structures subject to dynamic loads (e.g., earthquake, impact, blast). Structures would be idealized to simplified single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems. Equation of motion for SDOF systems would be developed for periodic, non-periodic and arbitrary excitations. The numerical methods to obtain the dynamic response and their limitations would be discussed. The concept of earthquake response spectrum and design spectrum will be explained and their utility in the seismic analysis and design of structures would be discussed.

Intended audience: B.Tech and M.Tech students .Industry professionals engaged with structural design

Prerequisites: Basic course in Calculus

Lectures

Week 1 - Introduction to Dynamics of Structures

  1. Module 1: Introduction to Structural Dynamics YouTube
  2. Module 2: Idealization of Structures YouTube
  3. Module 3: Components of Dynamic System YouTube
  4. Module 4: Equation of Motion YouTube

Week 2 - Free Vibration

  1. Module 1: Free Vibration YouTube
  2. Module 2: Damped Free Vibration Part 1 YouTube
  3. Module 3: Damped Free Vibration Part 2 YouTube

Week 3 - Forced Harmonic Vibrations

  1. Module 1: Undamped Harmonic Excitations YouTube
  2. Module 2: Damped Harmonic Excitations YouTube
  3. Module 3: Frequency response curves YouTube

Week 4 - Forced Harmonic Vibrations

  1. Module 1: Transmissibility YouTube
  2. Module 2: Energy in Forced Vibrations YouTube

Week 5 - Non-periodic Excitations

  1. Module 1: Unit impulse Functions YouTube
  2. Module 2: Step and Ramp Forces YouTube
  3. Module 3: Pulse Excitations YouTube

Week 6 - Numerical Response Evaluations & Earthquake Response Spectra

  1. Module 1: Numerical Response Methods YouTube
  2. Module 2: Seismic Response Spectra YouTube

Week 7 - Generalized SDOF systems

  1. Module 1: Continuous systems YouTube
  2. Module 2: Lumped mass systems YouTube

Week 8 - Multi-Degree-of-Freedom Systems

  1. Module 1: Equation of motion YouTube
  2. Module 2: Equation of motion - examples YouTube

Week 9 - Free Vibration of MDOF Systems

  1. Module 1: Mode shapes and frequencies YouTube
  2. Module 2: Free vibration- Undamped and Damped YouTube

Week 10 - Forced Vibration of MDOF Systems

  1. Module 1: Damping in MDOF Systems YouTube
  2. Module 2: Forced response of MDOF systems YouTube

Week 11 - Seismic Analysis of MDOF Systems

  1. Module 1: Modal superposition Analysis YouTube
  2. Module 2: Response Spectrum Analysis YouTube

Week 12 - Seismic isolation

  1. Module 1: Concept of Seismic Isolation YouTube
  2. Module 2: Dynamics of Base-isolation Systems YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Civil Engineering
Teacher
Prof. Manish Kumar
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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