Predicting a jump to resonance using transient maps and beats


Journal Article

In this paper it is shown how the transient frequencies can be used to predict an incipient jump to resonance of a lightly damped non-linear oscillator. The appropriate frequency ω can be determined from the rotation number of a Poincaré map, or measured directly from the beats superimposed on the steady state oscillation. The relative advantages of using an ω2 or an ω4 predictor are explored in digital computations and in an experimental study of a vibrating beam. © 1986.

Full Text

Duke Authors

Cited Authors

  • Thompson, JMT; Virgin, LN

Published Date

  • January 1, 1986

Published In

Volume / Issue

  • 21 / 3

Start / End Page

  • 205 - 216

International Standard Serial Number (ISSN)

  • 0020-7462

Digital Object Identifier (DOI)

  • 10.1016/0020-7462(86)90004-1

Citation Source

  • Scopus