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Course11210311240 lectures

Mechanical Vibrations

Prof. Rajiv Tiwari and Prof. S.K. Dwivedy · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

Module1

  1. Overview of the Course, Practical and Research Trends Video
  2. Harmonic and Periodic Motions, Vibration Terminology Video

Module2

  1. Vibration Model, Equation of Motion-Natural Frequency Video
  2. Energy Method, Principle of Virtual Work Video

Module3

  1. Viscously Damped Free Vibration Special Cases: Oscillatory Video
  2. Logarithmic Decrement Experimental Determination of Damping Coefficient Hystersis Loop Video
  3. Coulomb Damping other Damping Models Video

Module4

  1. Forced Harmonic Vibration, Magnification Factor Video
  2. Laplace Transform, Superposition Theorem Video
  3. Rotor Unbalance and Whirling of Shaft, Transmissibility Video
  4. Support Motion, Vibration Isolation Video
  5. Sharpness of Resonance, Vibration Measuring Instruments Video

Module5

  1. Generalized and Principle Coordinates, Derivation of Equation of Motion Video
  2. Lagranges's Equation Video
  3. Coordinate Coupling Video
  4. Forced Harmonic Vibration Video

Module6

  1. Tuned Absorber, Determination of Mass Ratio Video
  2. Tuned and Damped Absorber, Untuned Viscous Damper Video

Module7

  1. Derivation of Equations of Motion, Influence Coefficient Method Video
  2. Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem Video
  3. Modal Analysis: Undamped Video
  4. Modal Analysis: Damped Video

Module8

  1. Simple Systems With One Two or Three Discs Geared System Video
  2. Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System Video

Module9

  1. Derivation of Equations of Motion Part 1 - Newton Video
  2. Derivation of Equations of Motion Part 2 - Newton Video
  3. Vibration of Strings Video
  4. Longitudinal and Torsional Vibration of Rods Video
  5. Transverse Vibration of Beams, Equations of Motion and Boundary Conditions Video
  6. Transverse Vibration of Beams: Natural Frequencies and Mode Shapes Video

Module10

  1. Rayleigh's Energy Method Video
  2. Matrix Iteration Method Video
  3. Durkerley, Rayleigh-Ritz and Galerkin Method Video

Module11

  1. Finite Element Formulation for Rods, Gear Train and Branched System Video
  2. Finite Element Formulation for Beams: Galerkin Video
  3. Global Finite Element Assembly and Imposition of Boundary Conditions Video

Module12

  1. Vibration Testing Equipments: Signal Measurements Video
  2. Vibration Testing Equipments: Signal Analysis Video
  3. Field Balancing of Rotors Video
  4. Condition Monitoring Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Mechanical Engineering
Taught by
Prof. Rajiv Tiwari, Prof. S.K. Dwivedy
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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