Advanced Dynamics

Catalog description

This course offers an in-depth look at several contemporary approaches to classical mechanics, i.e. the kinematics and kinetics of systems of particles and bodies that may be rigid or elastic. Frames of reference, coordinate systems, vector kinematics, and concepts of energy and momentum are considered in the most general terms. Analytical methods include Kane's formulation, Hamilton's equations, and the Udwadia-Kalaba method. Holonomic and non-holonomic systems are considered in this context. The course introduces concepts in differential geometry as well as the stability and control of such systems.