The transient mean-square response of an uncoupled two-degree-of-freedom system under spatially correlated nonstationary random excitation is determined. The excitation is modulated white noise with an intensity function that resembles the envelopes of typical earthquakes. Results of the analysis are used to investigate the effects of (a) cross correlation, (b) shape of the intensity function, (c) delay time associated with the arrival of the excitation at different parts of the system, and (d) dimensionless system parameters on the mean-square proximity spectra.

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