Observation and investigation of a non-monotonic period function for an impact oscillator

Journal Article

A mathematical model for a bench-top impact oscillator (a steel pendulum and an aluminum barrier) that incorporates Hertzian contact is analyzed, and predictions derived from our model are compared with experimental data. We report our discovery of a new effect: the existence of a non-monotone period function for the annulus of periodic orbits in the phase plane surrounding the rest point that corresponds to the downward vertical position of the pendulum in the unforced, undamped case. From this non-monotonicity, we predict novel resonance response behavior for the forced, damped oscillator and verify our predictions by experiment. © 2008 Elsevier B.V. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Chicone, C; Felts, K; Mann, B

Published Date

  • 2009

Published In

Volume / Issue

  • 14 / 5

Start / End Page

  • 2415 - 2425

International Standard Serial Number (ISSN)

  • 1007-5704

Digital Object Identifier (DOI)

  • 10.1016/j.cnsns.2008.06.009