The onset of a new resonance in the stochastic layer is predicted numerically through the maximum and minimum energy spectra when the energy jump in the spectra occurs. The incremental energy approach among all the established, analytic approaches gives the best prediction of the onset of resonance in the stochastic layer compared to numerical investigation. The stochastic layers in the periodically-driven pendulum are discussed as another example. Illustrations of stochastic layers in the twin-well Duffing oscillator and the periodically-driven pendulum are given through the Poincare´ mapping sections. [S0739-3717(00)00701-7]
Investigations of Stochastic Layers in Nonlinear Dynamics
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Aug. 1999. Associate Technical Editor: S. C. Sinha.
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Luo , A. C. J., and Han , R. P. S. (August 1, 1999). "Investigations of Stochastic Layers in Nonlinear Dynamics ." ASME. J. Vib. Acoust. January 2000; 122(1): 36–41. https://doi.org/10.1115/1.568439
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