Abstract
We investigate the mean-square stability for single-degree-of-freedom linear systems with random parametric excitation. The excitation is assumed to be of the form of a Gaussian stationary non-white process. We propose a new numerical approach to determine regions of parametric resonances based on a closure procedure for hierarchy of moment equations. Mean-square stability charts are obtained using the numerical analysis of eigenvalues for large-scale matrices. The results show three parametric resonances for narrow-band excitations.
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