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Course10510334742 lectures

Structural Vibration

Prof. Arunasis Chakraborty · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

Week 01: Introduction to Structural Vibration

  1. Lec 1: D’Alembert Principle & Degrees of Freedom Video
  2. Lec 2: Simple Harmonic Motion Video
  3. Lec 3: Examples Video

Week 02: Free Vibration of SDOF System

  1. Lec 4: Undamped Free Vibration Video
  2. Lec 5: Damped free vibration Video
  3. Lec 6:Logarithmic Decrement & Coulomb Damped Free Vibration Video

Week 03: Forced Vibration of SDOF System

  1. Lec 7: Structural Damping Video
  2. Lec 8: Damped Forced Vibration Video
  3. Lec 9: Response due to Harmonic Excitation Video
  4. Lec 10: Response due to Harmonic Excitation Contd. Video
  5. Lec 13: Examples Set 1 Video
  6. Lec 12: Transmissibility & Support Motion Problem Video
  7. Lec 13: Examples Set 2 Video

Week 04: SDOF system under Arbitrary Motion

  1. Lec 14: Impulse Response function Video
  2. Lec 15:Duhamel’s Integral Video
  3. Lec 16: Response in Frequency Domain Video
  4. Lec 17: Response due to Periodic and Non Periodic Excitations Video

Week 05: Numerical Evaluation of Dynamic Response

  1. Lec 18: Nigam & Jennings and Central Difference method Video
  2. Lec 19: Wilson Theta and Newmark Method Video
  3. Lec 20: MATLAB Examples Video

Week 06: Response Spectrum

  1. Lec 21: Response Spectrum Video
  2. Lec 22: MATLAB Code Generation Video

Week 07: Hamilton's Principle and Lagrange Equation

  1. Lec 23: Generalized SDOF system Video
  2. ,C2, Video
  3. 'Lec 25: Hamilton's Principle to Lagrange Equation' Video
  4. 'Lec 26: D'Alembert's Principle to Lagrange Equation' Video
  5. Lec 27: Hamilton's Canonical Form Video

Week 08: MDOF system: Free Vibration

  1. Lec 28: Natural Frequencies and Mode shapes of MDOF system Video
  2. Lec 29: Modal Orthogonality and Modal Decomposition Video
  3. Lec 30: Rayleigh Damping Model and Free Vibration Video

Week 09: MDOF System: Dynamic Analysis

  1. Lec 31: Response Analsysis in Time Domain Video
  2. Lec 32: Response Analysis in Frequency Domain Video

Week 10: MDOF System Under Support Motion

  1. Lec 33: Response History Analysis Video
  2. Lec 34: Response Spectrum Analysis Video
  3. Lec 35: Model Reduction Techniques Video

Week 11: Continuous System

  1. Lec 36: Free Vibration of Beams Video
  2. Lec 37: Forced Vibration of Beams Video

Week 12: Dynamic Analysis in FE Software

  1. Lec 38: FE Modelling and Modal Analysis of a Building Video
  2. Lec 39: Modal Superposition Analysis of a Building Video
  3. Lec 40: Response Spectrum Analysis of a Building Video
  4. Lec 41: Modal Analysis of a Steel Bridge Video

Live Session

  1. Live Session 26-02-2024 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Civil Engineering
Teacher
Prof. Arunasis Chakraborty
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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