We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Resonant Layers in a Parametrically Excited Pendulum.
- Authors
Luo, Albert C. J.
- Abstract
The energy increment spectrum method is developed for the numerical prediction of a specific primary resonant layer, and the width of the resonant layer can be estimated through the energy increment spectrum. This numerical approach is applied to investigate the (2M:l)-librational and (M:l)-rotational, resonant layers in a parametrically excited pendulum, and the corresponding analytical conditions for such resonant layers are developed. The numerical approach predicts the appearance and disappearance of resonant layers in nonlinear Hamiltonian systems rather than the conventional Poincaré mapping method. Illustrations of the analytical and numerical results for the appearance and disappearance of the resonant layers are given. The width of the resonant layers in the paremetric pendulum is computed. The analytical method should be further improved through renormalization.
- Subjects
SPECTRUM analysis; INCREMENTAL motion control; PENDULUMS
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2002, Vol 12, Issue 2, p409
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127402004449