Abstract
The paper addresses non-Gaussian stationary response of linear single-degree-of-freedom (SDOF) systems subject to a periodic excitation with correlated random amplitude and phase disturbances which are modeled as correlated Gaussian white noise processes. Correlation between amplitude and phase modulation is specified by the cross-correlation coefficient. Numerical results for the second and fourth moment responses are presented. The probability density function of the response is calculated based on the cumulant-neglect closure method. Non-Gaussianity of the response is discussed in terms of the excess factor. The results show that the moment responses generally increase with larger random amplitude disturbance and decrease with larger random phase modulation. The cross-correlation between amplitude and phase disturbances tend to reduce the system moment response. Large relative detuning results in smaller system moment responses. The response may become Gaussian in the sense of up to the fourth moment for sufficiently large relative detuning or random phase disturbances.