ME 752 Advanced Topics in Mechanics
This course provides an introduction to the phenomena of nonlinear oscillations. Emphasis is placed on identifying the phenomena from a physical perspective, understanding their behavior, and obtaining approximate closed-form solutions that define the essential characteristics of their behavior. Results are compared to those obtained from similar linear systems. Examples are limited to single-degree-of-freedom systems, in order to enable sufficiently rigorous study of some of the most common phenomena. This course serves as an introduction to more advanced study in the nonlinear oscillations of multi-degree-of-freedom and continuous systems, nonlinear control, and chaos theory. Prerequisite: Permission of Instructor.