Prediction of escape from a potential well under harmonic excitation


Journal Article

Non-linear dynamical systems are considered which are conservative except for the presence of viscous damping. The systems are initially at rest in a potential well. Harmonic excitation is applied, and approximate conditions for escape from the potential well are sought. A method is described which uses the harmonic-balance technique to obtain an approximate motion, and then compares the maximum energy during that motion with the potential barrier. Numerical results are presented for three one-degree-of-freedom systems and a system with two-degrees-of-freedom. The approximate critical forcing amplitudes are plotted as a function of the forcing frequency, and the results are compared to those obtained by numerical integration of the equations of motion. © 1992.

Full Text

Duke Authors

Cited Authors

  • Virgin, LN; Plaut, RH; Cheng, CC

Published Date

  • January 1, 1992

Published In

Volume / Issue

  • 27 / 3

Start / End Page

  • 357 - 365

International Standard Serial Number (ISSN)

  • 0020-7462

Digital Object Identifier (DOI)

  • 10.1016/0020-7462(92)90005-R

Citation Source

  • Scopus