Course11210530460 lectures
Advanced Dynamics
Prof. Anirvan DasGupta · IIT Kharagpur
About
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
Prerequisites: Undergraduate Mechanics, Dynamics, and Engineering Mathematics
Lectures
Week 1
- Lecture 01 : Coordinate Systems - I
- Lecture 02 : Coordinate Systems - II
- Lecture 03 : Relative Motion - I
- Lecture 04 : Relative Motion - II
- Lecture 05 : Relative Motion - III
Week 2
- Lecture 06 : Particle kinetics - I
- Lecture 07 : Particle kinetics - II
- Lecture 08 : Particle kinetics - III
- Lecture 09 : Particle kinetics - IV
- Lecture 10 : Particle kinetics - V
Week 3
- Lecture 11 : Work-energy relation - I
- Lecture 12 : Work-energy relation - II
- Lecture 13 : Impulse-momentum relation - I
- Lecture 14 : Impulse-momentum relation - II
- Lecture 15 : Particle impact - I
- Lecture 16 : Particle impact - II
Week 4
- Lecture 17 : Central force motion - I
- Lecture 18 : Central force motion - II
- Lecture 19: Central force motion - III
- Lecture 20: Central force motion - IV
Week 5
- Lecture 21: Systems with Mass Flow - I
- Lecture 22: Systems with Mass Flow - II
- Lecture 23: Kinetics of a System of Particles - I
- Lecture 24: Kinetics of a System of Particles - II
- Lecture 25: Kinetics of a System of Particles - III
Week 6
- Lecture 26 : Kinetics of a System of Particles: Extension to Rigid Bodies
- Lecture 27: Planar Kinetics of Rigid Bodies - I
- Lecture 28: Planar Kinetics of Rigid Bodies - II
- Lecture 29 : Planar Kinetics: Work-Energy Relations - I
- Lecture 30: Planar Kinetics: Work-Energy Relations - II
Week 7
- Lecture 31: Planar kinetics: impulse-momentum relations - I
- Lecture 32 : Planar kinetics: impulse-momentum relations - II
- Lecture 33 : Spatial kinematics of rigid bodies - I
- Lecture 34 : Spatial kinematics of rigid bodies - II
- Lecture 35 : Spatial kinetics of rigid bodies - I
Week 8
- Lecture 36 : Spatial kinetics of rigid bodies - II
- Lecture 37 : Spatial kinetics of rigid bodies - III
- Lecture 38 : Gyroscopic motion - I
- Lecture 39 : Gyroscopic motion - II
- Lecture 40 : Gyroscopic motion - III
Week 9
- Lecture 41: Kinematics of rotation - I
- Lecture 42 : Kinematics of rotation - II
- Lecture 43 : Kinematics of rotation - III
- Lecture 44 : Kinematics of rotation - IV
- Lecture 45 : Kinematics of rotation - V
Week 10
- Lecture 46 : Introduction to Analytical Dynamics: generalized coordinates - I
- Lecture 47 : Introduction to Analytical Dynamics: generalized coordinates - II
- Lecture 48 : Hamilton's principle and Lagrange's equation of motion - I
- Lecture 49: Hamilton's principle and Lagrange's equation of motion - II
- Lecture 50: Hamilton's principle and Lagrange's equation of motion - III
Week 11
- Lecture 51 : Hamilton's principle and Lagrange's equation of motion - IV
- Lecture 52 : Systems with constraints - I
- Lecture 53 : Systems with constraints - II
- Lecture 54 : Systems with constraints - III
- Lecture 55 : Systems with constraints - IV
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kharagpur
- Department
- Mechanical Engineering
- Teacher
- Prof. Anirvan DasGupta
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed