Abstract
Stochastic jump phenomena in the random responses of a Duffing oscillator subjected to narrow band excitation are investigated. In the case of hardening stiffness, large and small amplitudes of the responses correspond in phase, and 180 degrees out of phase with the excitation, respectively. But, the phase angle between the excitation and the response is difficult to calculate when the band width of excitation becomes broader. In this study, we calculate the product of each wavelet transform of excitation and response, and demonstrate that the quantity can be used as the alternative to the phase angle.
