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Elements of Mechanical Vibration

Prof. Ashish K Darpe · IIT Delhi

Start with lecture 1 At NPTEL

About

It is hard to imagine any mechanical/aerospace system that is not subjected to dynamic excitation force. The time-varying forces excite these machines/structures and manifests in their vibratory motion. The vibratory motion greatly influences the stresses and hence the durability and residual life of these complex systems, apart from generating undesired noise. The task for an engineer in designing these systems is ensuring a desired life. It is therefore necessary to develop insights into the vibration phenomenon, so that the issue of undesired vibration levels is addressed at the design stage itself. This course addresses the fundamentals of vibration theory with simple but practical examples with an emphasis on seeing the larger picture and interpreting the outcome of vibration analysis from the context of machinery or structural design. At the end of the course the student will be able to understand the process of modelling any practical vibratory system, its analysis and interpreting the results.

Intended audience: Senior Undergraduate / Post-graduate, doctoral students in aerospace or mechanical engineering, practicing engineers from industry willing to get a sound foundation in vibration engineering

Prerequisites: Basic exposure to Engineering Mechanics and Engineering Mathematics would be useful

Lectures

Week 1

  1. Introduction and Significance of Vibration Engineering YouTube
  2. Parameters of Vibratory System YouTube
  3. Undamped Free Vibrations YouTube

Week 2

  1. Response to Initial Conditions YouTube
  2. Damped Free Vibrations YouTube
  3. Damping Models : Viscous and Structural Damping YouTube

Week 3

  1. Damping Models : Coulomb Damping YouTube
  2. Energy Methods YouTube
  3. Modelling of Geared Rotors YouTube

Week 4

  1. Response to Transient Excitation YouTube
  2. Response to Harmonic Excitation YouTube
  3. Harmonic Excitation : Phase and Quality Factor YouTube

Week 5

  1. Rotating Unbalance YouTube
  2. Base excitation and Transmissibility YouTube
  3. Force Transmissibility YouTube

Week 6

  1. Accelerometers and Response to Periodic Excitation YouTube
  2. Response to Periodic Excitation YouTube
  3. Campbell Diagram YouTube
  4. Introduction to Laboratory sessions YouTube
  5. Experiment 1 YouTube
  6. Experiment 2 YouTube

Week 7

  1. Introduction to Two Degree of Freedom Systems YouTube
  2. 2 DOF system : Concept of Mode Shapes YouTube
  3. Response of a 2DOF system to initial disturbance YouTube

Week 8

  1. Forced Vibration of a 2 DOF system YouTube
  2. Vibration Absorber YouTube
  3. Tuned Mass Damper YouTube
  4. LABORATORY SESSION 3 YouTube
  5. LABORATORY SESSION 4 YouTube

Week 9

  1. Transmissibility in MDOF systems YouTube
  2. Lateral Vibrations : Influence Coefficient Method YouTube
  3. Modal Analysis for MDOF systems, Orthogonality YouTube
  4. LABORATORY SESSION 5 YouTube
  5. LABORATORY SESSION 6 YouTube

Week 10

  1. Modal Analysis of undamped vibratory system YouTube
  2. Modal Analysis of damped vibratory system YouTube
  3. Orthogonality through an example YouTube

Week 11

  1. Numerical Methods : Transfer Matrix Method YouTube
  2. Numerical Methods : Myklestad - Prohl Method YouTube
  3. Numerical Methods : Finite Element Method YouTube
  4. LABORATORY SESSION 7 YouTube
  5. LABORATORY SESSION 8 YouTube

Week 12

  1. Continuous Systems : Stretched strings YouTube
  2. Continuous Systems : Response of a stretched string Vibrations of a bar YouTube
  3. Continuous Systems : Vibrations of a beam YouTube
  4. Condition Monitoring YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Delhi
Department
Aerospace Engineering
Teacher
Prof. Ashish K Darpe
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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