ME 762: Advanced Engineering Dynamics

Prof. V. Karthik

Description:

Dynamics is a branch of applied mathematics (specifically classical mechanics) concerned with the study of forces and torques and their effect on motion, as opposed to kinematics, which studies the motion of objects without reference to its causes.

This course follows an engineering approach to the study of analytical mechanics. More emphasis is given to 3D rigid body dynamics and in the latter half of the course there is a transition from theoretical mechanics to concepts from experimental dynamics. In this course one learns how to apply the basic principles of kinematics and dynamics to various problems such as the motion of an arrow or the vibrations of a moving train. There is sufficient motivation and ample opportunity to work on those mechanical systems that have always fascinated you as a kid.

Course Content:

  1. Three dimensional kinematics and dynamics of particles and rigid bodies
  2. Linear and angular momentum
  3. Energy and stability considerations
  4. Non-inertial reference frames
  5. State space formulation of dynamical equations
  6. Time-domain numerical integration
  7. Computer implementation and analysis of associated errors

Grading Structure:

4 Mini Projects (~10% each)
1 Major Project (~20%)
Midsem and Endsem (~40%)

The course was offered for the first time in the autumn semester of 2015. The professor opted to follow a slightly unconventional grading scheme.

References:

Methods of Analytical Dynamics, Dover, 2010 by L. Meirovitch
Classical Dynamics, Dover, 1997 by T. Greenwood
Mechanical Vibrations, Dover, 1985 by P. Den Hartog
Measurement Systems: Design and Applications, McGraw-Hill, 2003 by E. O. Doebelin

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