Nonsmooth Dynamics in Two Interacting, Impacting Pendula
dc.contributor.advisor | Virgin, Lawrence N | |
dc.contributor.author | George, Christopher Michael | |
dc.date.accessioned | 2012-09-04T13:15:20Z | |
dc.date.available | 2012-09-04T13:15:20Z | |
dc.date.issued | 2012 | |
dc.department | Mechanical Engineering and Materials Science | |
dc.description.abstract | This thesis reviews the experimental investigation of a non-smooth dynamical system consisting of two pendula; a large pendulum attached to a frame with an impact wall, and a small pendulum, which shares its axis of rotation with the large pendulum and can impact against the large pendulum. The system is forced with a sinusoidal horizontal motion, and due to the nonlinearities present in pendula as well as the discontinuous forcing from impacts, exhibits a wide range of behavior. Periodic, quasi-periodic, and chaotic responses all are possible, hysteresis is present, and grazing bifurcations allow for spontaneous change of behavior and the appearance of chaotic responses without following a traditional route to chaos. This thesis follows from existing non-linear dynamics research on forced pendula, impacting systems (such as a bouncing ball) and doubly impacting systems (ball bouncing on top of a bouncing ball). | |
dc.identifier.uri | ||
dc.subject | Mechanical engineering | |
dc.subject | Chaos | |
dc.subject | Grazing | |
dc.subject | Pendulum | |
dc.subject | Quasi-Periodic | |
dc.title | Nonsmooth Dynamics in Two Interacting, Impacting Pendula | |
dc.type | Dissertation |
Files
Original bundle
- Name:
- George_duke_0066N_11535.pdf
- Size:
- 25.01 MB
- Format:
- Adobe Portable Document Format