Dynamics of Structures

By Prof. Manish Kumar   |   IIT Bombay
Learners enrolled: 798
This course will focus on characterizing the behavior of structures subject to dynamic loads (e.g., earthquake, impact, blast). Structures would be idealized to simplified single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems. Equation of motion for SDOF systems would be developed for periodic, non-periodic and arbitrary excitations. The numerical methods to obtain the dynamic response and their limitations would be discussed. The concept of earthquake response spectrum and design spectrum will be explained and their utility in the seismic analysis and design of structures would be discussed.

INTENDED AUDIENCE : B.Tech and M.Tech students .Industry professionals engaged with structural design

PRE REQUISITE : Basic course in Calculus

INDUSTRIES SUPPORT : All Structural Engineering firms. Infrastructure and construction companies, CPWD, Railways, Defence sector
Course Status : Completed
Course Type : Elective
Duration : 12 weeks
Category :
  • Civil Engineering
Credit Points : 3
Level : Undergraduate/Postgraduate
Start Date : 25 Jul 2022
End Date : 14 Oct 2022
Enrollment Ends : 08 Aug 2022
Exam Date : 29 Oct 2022 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

Week 1:Introduction to Dynamics of Structures 
Week 2:Free Vibration 
Week 3:Forced Harmonic Vibrations 
Week 4:Forced Harmonic Vibrations 
Week 5:Non-periodic Excitations 
Week 6:Numerical Response Evaluations & Earthquake Response Spectra 
Week 7:Generalized SDOF systems 
Week 8:Multi-Degree-of-Freedom Systems 
Week 9:Free Vibration of MDOF Systems 
Week 10:Forced Vibration of MDOF Systems 
Week 11:Seismic Analysis of MDOF Systems 
Week 12:Seismic isolation

Books and references

  1. Chopra, A. K. (2019). "Dynamics of structures: Theory and applications to earthquake engineering." 5th Edition, Prentice Hall, NJ, USA.
  2. Craig, Roy R., and Andrew J. Kurdila (2006). “Fundamentals of structural dynamics.” John Wiley & Sons, 2006.
  3. Biggs, J. M. (1964). “Introduction to structural dynamics.” Edition, McGraw Hill, New York, NY.
  4. Clough, R. W., and Penzien, J. (1993). “Dynamics of structures.” 2nd Edition, McGraw Hill, New York.
  5. Den Hartog, J. P. (2013). “Mechanical Vibrations.” Dover Publications, New York.

Instructor bio

Prof. Manish Kumar

IIT Bombay
Prof. Manish Kumar is an assistant professor in the Department of Civil Engineering at IIT Bombay in Mumbai, India. He obtained his Bachelor’s degree in civil engineering from IIT Kanpur, and Master’s and Ph.D. degrees from State University of New York (SUNY) at Buffalo in USA. He has worked in Australia and USA as a civil engineer and is a certified professional engineer (P.E.) in the state of California, USA. His research areas include analysis and design of structures subject to earthquake, blast and impact loads. He focusses on seismic response control of structures using seismic isolation and energy dissipation devices. He has extensive experience in conducting large scale experiments to characterize static and dynamic behavior of structures. He has authored several technical papers and reports on dynamic response control of structures. He has also developed several software modules to model seismic isolators in a wide range of open-source (e.g, OpenSees) and commercial software platforms (ABAQUS, LS-DYNA). His work on seismic isolation of nuclear structures has contributed to the development of a NUREG guide on seismic isolation. He has received STSI award by Hokkaido University in Japan and was a visiting research scholar to Beijing University of Technology. He has delivered several keynote lectures in Indian conferences and workshops in the area of seismic isolation. His recently lead the efforts organize an US-Indo international workshop on seismic safety of nuclear structures. He is a currently a working group member of the BIS code committee (CED39) on seismic isolation and assisting with the efforts to develop codes and guidelines on safety of structures against extreme loads.

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: 29 October 2022 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 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 Bombay.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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