Vibration and Structural Dynamics

By Prof. Mira Mitra   |   IIT Kharagpur
Learners enrolled: 2559
The course aims at imparting fundamentals of vibration and structural dynamics to senior undergraduate and graduate students. The course primarily consists of four modules, namely, single degree of freedom, multi-degree of freedom, continuous system, and analytical methods. The objective of the course is deliver problem solving capabilities both for industrial problems and academic research. The course will start from basic of vibrations and gradually deal with more complex problems. 

INTENDED AUDIENCE  : Aerospace  Engineerings students
PREREQUISITES:           Engineering Mechanics
INDUSTRY SUPPORT  : Automobile, Aerospace, Infrastructure, Wind Turbine Industries
Course Status : Completed
Course Type : Core
Duration : 8 weeks
Start Date : 26 Aug 2019
End Date : 18 Oct 2019
Exam Date : 17 Nov 2019 IST
Category :
  • Aerospace Engineering
Credit Points : 2
Level : Undergraduate

Page Visits

Course layout

Week 1: Introduction, Equation of motion, Single-degree of freedom (SDOF), Undamped and damped, free vibration of SDOF
Week 2: Examples on free vibration, Forced vibration, Harmonic Loading, Examples on Harmonic Loading
Week 3: Response to arbitrary loading: Duhamel’s integral, Impulse loading
Week 4: Multi-degree of freedom (MDOF), Normal modes of vibration, natural frequencies and mode shapes
Week 5: Modal superposition theorem, Examples on MDOF
Week 6: Continuous system, Axial Vibration in Rod,  Natural frequencies & mode shapes, Forced vibration of rods
Week 7: Flexural Vibration in beam,  Natural frequencies and mode shapes, Forced vibration of beams
Week 8: Hamilton’s principle, Euler-Lagrange equation

Books and references

1.Fundamentals of Vibration – L. Meirovitch, Tata-McGraw Hill
2.Theory of Vibration with application – W. D. Thomson & M. D. Dahleh, Pearson
3.Mechanical Vibrations, S. S. Rao, Pearson

Instructor bio

Prof. Mira Mitra is currently Associate Professor in the Dept. of Aerospace Engineering, IIT Kharagpur. Prior to joining IIT Kharagpur, she was a faculty member in Aerospace Engineering, IIT Bombay, between 2007 to 2016. She obtained her PhD and Masters from IISc, Bangalore, both in Aerospace Engineering. She has authored more than 50 papers in international journals and conferences. She is the recipient of INAE Young Engineering Award, DST-SERB Women Excellence Award, and IIT Bombay Hotchand Lala Excellence in Teaching Award

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: 17 November 2019, 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

  • 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 Kharagpur. It will be e-verifiable at nptel.ac.in/noc.
  • Only the e-certificate will be made available. Hard copies are being discontinued from July 2019 semester and will not be dispatched

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