Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9640824 | Journal of Sound and Vibration | 2005 | 6 Pages |
Abstract
The minimum, sinusoidal drive for resonant rotation of a weakly damped pendulum and the contiguous loci of stable states in a frequency-energy plane are determined by perturbing the solution for undamped, unforced oscillations and invoking the method of harmonic balance. Instability occurs through turning-point and period-doubling bifurcations, and the resonant states are stable only in rather small frequency intervals between these bifurcations.
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Authors
John Miles,