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Course10510322138 lectures

Vibration of Continuous Systems

Prof. Sudip Talukdar · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

week-01

  1. Lec 1: General Introduction and Modelling of Dynamic Systems Video
  2. Lec 2: Time Domain Analysis of Linear System - Harmonic input Video
  3. Lec 3: Time Domain Analysis of Linear System – Arbitrary Input Video
  4. Lec 4: Transformed technique in vibration of linear system Video

week-02

  1. Lec 1: Formulation of problem: Equilibrium Approach Video
  2. Lec 2: Formulation of problem by Energy Principle Video
  3. Lec 3: Hamilton’s principles for formulating vibration problems Video
  4. Lec 4: Lagrange’s equation for formulating vibration problems Video

week-03

  1. Lec 5: One Dimensional Wave Equation Video
  2. Lec 6: D-Alembert’s Solution of the Wave Equation Video
  3. Lec 7: Transverse Vibration of String Video
  4. Lec 8: Forced Transverse Vibration of String Video

week-04

  1. Lec 9: Axial Vibration of Bar Video
  2. Lec 10: Torsional Vibration of Bar Video
  3. Lec 11: Some typical problems in axial and torsional vibrations Video

week-05

  1. Lec 12: Transverse vibration of beams Video
  2. Lec 13: Natural frequencies and mode shapes of beams with various end conditions Video
  3. Lec 14: Free damped transverse vibration analysis of beam Video

week-06

  1. Lec 15: Forced damped vibration analysis of Euler Bernoulli beam Video
  2. Lec 16: Vibration of beams subjected to moving load Video
  3. Lec 17: Some special topics on the transverse vibration of beam Video

week-07

  1. Lec 18: Combination of continuous and lumped parameter system Video
  2. Lec 19 : State space solutions in vibration problems Video
  3. Lec 20: Beam with moving oscillator, pulstating force and rolling mass Video

week-08

  1. Lec 21: Vibration of membrane Video
  2. Lec 22: Vibration of Circular membrane Video

week-09

  1. Lec 27: Vibration of Rectangular plate Video
  2. Lec 28: Free vibration of rectangular plates Video
  3. Lec 29: Forced vibration of rectangular plates Video

week-10

  1. Lec 30: Approximate method for vibration analysis Video
  2. Lec 31: Rayleigh-Ritz method for vibration analysis Video
  3. Lec 32: Gallerkin's method and Finite difference method Video

week-11

  1. Lec 33: System subjected to support excitation Video
  2. Lec 34: Response of continuous systems to transient excitations Video
  3. Lec 35: Shock spectrum due to half sine pulse Video

week-12

  1. Lec 36: Numerical Evaluation of Duhamel Integral Video
  2. Lec 37: Direct Integration Methods Video
  3. Lec 38: Spectral Analysis of structures for earthquake excitation Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Civil Engineering
Teacher
Prof. Sudip Talukdar
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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