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Elements Of Mechanical Vibration

By Prof. Ashish K Darpe   |   IIT Delhi
Learners enrolled: 1511   |  Exam registration: 44
ABOUT THE COURSE:
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

INDUSTRY SUPPORT: All the industrial rotating machinery have vibration and noise issues, and there are many critical vibration problems in most aerospace systems including engines and transmissions. Strong foundation and understanding of variety of aspects of the vibration phenomenon is very crucial to analysis and interpretation of issues observed in practical machinery and structures. The course is intended to address fundamental understanding of the vibration theory with emphasis on solution of many practical problems, analysis and interpretation.
Summary
Course Status : Completed
Course Type : Elective
Language for course content : English
Duration : 12 weeks
Category :
  • Aerospace Engineering
  • Mechanical Engineering
Credit Points : 3
Level : Undergraduate/Postgraduate
Start Date : 24 Jul 2023
End Date : 13 Oct 2023
Enrollment Ends : 07 Aug 2023
Exam Registration Ends : 18 Aug 2023
Exam Date : 28 Oct 2023 IST

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


Page Visits



Course layout

Week 1: Need and significance of vibration analysis, basic process, approaches for modelling a mechanical system
Week 2: Single DOF system, Free vibration response, Newtonian and Energy approaches for the governing equations of motion
Week 3: Various damping mechanisms and ways to include them in the mathematical model
Week 4: Response to transient excitation, use of Convolution integral
Week 5: Forced Vibration: harmonic and periodic excitation, Whirling of rotors, Campbell Diagram
Week 6: Base excited system, Vibration Isolation and Transmissibility
Week 7: Two DOF system: Natural frequencies, Concept of Mode shape, Response to initial conditions
Week 8: Vibration response analysis (Free/forced), design of vibration absorber, Design of automotive torsional damper, Vibration isolation in 3 DOF system
Week 9: MDOF system, eigenvalues and eigenvectors, Orthogonality of mode shapes, and its use in modal analysis approach to finding the vibration response (free/forced)
Week 10: Transfer Matrix methods for large DOF systems, Holzer and Myklestad-Prohl Methods
Week 11: Modelling a vibratory system as a continuous system (distributed parameter model); cases of string, bar, rod, beam, Introduction to use of FEA approach to solve vibration problem
Week 12: Introduction to vibration-based condition monitoring, Introduction to Random vibration

Books and references

Rao S.S., Mechanical Vibrations, 6th Edition, Pearson, 2018. ISBN- 10: 1-292-17860-4
Rao, J.S. and Gupta, K. Theory and Practice of Mechanical Vibrations, New Age International ( Pvt ) Ltd, New Delhi 1999 Thomson W. T., Dahleh M. D., Padmanabhan C. Theory of Vibrations with Applications, 5th Edition, Pearson Education, 2014

Instructor bio

Prof. Ashish K Darpe

IIT Delhi
Prof. Darpe has been teaching at IIT Delhi since 2004. His main subjects are Mechanical Engineering Drawing, Graphic Science, Vibration Engg., Noise Engg., Rotor Dynamics and Condition Monitoring. His research interests include Machinery Health Monitoring, Dynamics of Rotors, and Diagnostics/Prognostics. He has been project investigator for various R&D and consultancy projects collectively valued over 13 Crore funded by defence R&D labs, private industry and government funding agencies in the areas of Vibration, Noise and Dynamics. He has published extensively (57 papers) in reputed international journals and has taught Vibration Engineering course several times to the undergraduate and post-graduate students at IIT Delhi. The course “Vibrations and Noise Engineering” has been one of the popular courses with excellent feedback from the students.

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: 28 October 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.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 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 Madras .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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