Advanced Dynamics

By Prof. Anirvan DasGupta | IIT Kharagpur

Learners enrolled: 2045

A study of dynamics is useful not only in determining dynamic forces for design (such as in automotive and aerospace systems, machine tools etc.), but also in understanding the phenomena of tides, cyclonic circulation, precession of tops, flight of boomerangs etc. This course will cover the fundamental topics in dynamics of particles and rigid bodies using the approaches of Newtonian and analytical dynamics. The coverage will start with kinematics in inertial and non-inertial (rotating) frames, discuss the different approaches to study the dynamics of a single particle, system of particles, rigid bodies in two and three dimensions, and finally introduce the approach of analytical dynamics. The course will have a strong emphasis on problem solving, and is expected to build a strong foundation in dynamics.

INTENDED AUDIENCE :Mechanical Engineering,Aerospace Engineering,Physics

PRE-REQUISITES : Undergraduate Mechanics, Dynamics, and Engineering Mathematics

INDUSTRY SUPPORT : Automotive, Railway, and Aerospace industry

Summary

Course Status :	Completed
Course Type :	Core
Duration :	12 weeks
Category :	Mechanical Engineering Advanced Dynamics and Vibration Advanced Mechanics Computational Mechanics
Credit Points :	3
Level :	Undergraduate/Postgraduate
Start Date :	26 Jul 2021
End Date :	15 Oct 2021
Enrollment Ends :	09 Aug 2021
Exam Date :	24 Oct 2021 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:Coordinate systems, Kinematics of particles, rotating frames, relative motion
Week 2:Kinetics of particles, cyclonic circulation, Foucault pendulum

Week 3:Integrals of Newton’s second law, angular momentum, conservation laws
Week 4:Impact, Newton’s law of gravitation and tidal dynamics

Week 5:Systems with variable mass, systems with flow

Week 6:Dynamics of rigid bodies, Newton-Euler equations
Week 7:Dynamics of tops, gyroscopes and boomerangs
Week 8:Rotation matrix and its parametrization, geometry of rotation
Week 9:Introduction to analytical dynamics, configuration space, constraints, generalized coordinates and forces
Week 10:Hamilton’s principle, Lagrange’s equation of motion, constraint forces
Week 11:Generalized momentum, cyclic coordinates and conservation laws
Week 12:Symmetry and Noether’s theorem, Hamiltonian and its conservation

Books and references

1. Engineering Mechanics: Dynamics, J.L. Meriam & L.G. Kraige
2. An Introduction to Mechanics, D. Kleppner & R. Kolenkow
3. Classical Mechanics, H. Goldstein
4. Analytical Mechanics, L.N. Hand & J.D. Finch

Instructor bio

Prof. Anirvan DasGupta

IIT Kharagpur

Dr. Anirvan DasGupta is a faculty in Mechanical Engineering at IIT Kharagpursince 1999. His interests are in the mechanics of discrete and continuous systems.He has extensively taught courses at undergraduate and postgraduate levels likeMechanics, Kinematics of Machines, Dynamics, Dynamics of Machines, VibrationAnalysis, Wave Propagation in Continuous Media, and Rail Vehicle Dynamics.

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 October 2021 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 Kharagpur .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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