Introduction To Mechanical Vibration

By Prof. Anil Kumar   |   IIT Roorkee
Learners enrolled: 1001   |  Exam registration: 93
Vibration is a common phenomenon occurring in a mechanical system. For example, vibration of a rotor due to unbalanced mass, vibration of a vehicle engine at varying speed. The study of a dedicated course is required to understand the fundamental and advance concepts of mechanical vibrations for engineers and designers. This course is of basic level. It introduces fundamentals of vibration, free and forced, undamped and damped vibration, vibration of single Degree of Freedom (DoF) system, 2-DoF and multi-DoF systems, theory of vibration absorbers and vibration instruments.

INTENDED AUDIENCE: It is a Elective Course for UG students of Mechanical, Production, Automobile, Aerospace, Civil Engineering and equivalent.

PREREQUISITES:       Completed first year of BE/BTech.

Course Status : Completed
Course Type : Elective
Duration : 8 weeks
Category :
  • Mechanical Engineering
  • Advanced Dynamics and Vibration
  • Advanced Mechanics
Credit Points : 2
Level : Undergraduate
Start Date : 24 Jul 2023
End Date : 15 Sep 2023
Enrollment Ends : 07 Aug 2023
Exam Registration Ends : 21 Aug 2023
Exam Date : 24 Sep 2023 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week1: Fundamental of Vibrations.

Week2: Free Vibration of Single Degree of Freedom Systems.

Week3: Forced Vibration of Single Degree of Freedom Systems.

Week4: Forced Vibration of Single Degree of Freedom Systems.

Week5: Vibration Measuring Instruments.

Week6: Vibration of Two Degree of Freedom Systems.

Week7: Vibration Absorbers and Critical Speed of Shafts.

Week8: Vibration of Multi Degree of Freedom Systems.

Books and references

  1. Grover, G.K., “ Mechanical Vibrations”, 7th Ed., Nem Chand & Bros.
  2. Rao, S.S., “ Mechanical Vibrations”, 5th Ed.,  Addison-Wesley Longman, Incorporated.
  3. Thomason, W.T., “Theory of Vibrations with Applications”, 5th Ed., Prentice-Hall.
  4. Timoshenko, S.P., “Vibration Problems in Engineering”, 2nd Reprint Ed., Wolfenden Press.
  5. Kelly, S.G., “Mechanical Vibrations”, Scgaum’s Outlines, Mc Graw Hill Education.

Instructor bio

Prof. Anil Kumar

IIT Roorkee
Dr Anil Kumar works as an Assistant Professor faculty in the Department of Mechanical and Industrial Engineering at IIT Roorkee for more than four years. He teaches subjects like, Automatic Control, Machine Design, Vibrations and Noise, etc. to UG students. His research area belongs to semi-active rail suspension, modal identification of structures, testing of piping joints, pedestrian-structure interaction modelling.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 
24 September 2023 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Roorkee.It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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