Abstract
When a lightly damped linear oscillator responds to stationary wide-band Gaussian excitation, the root-mean-square level and average frequency of the response are relatively insensitive to increases in the bandwidth of the excitation, but the average rate of maxima increases without limit. This phenomenon is interpreted by reexamining the exact distribution of the maxima and by giving a heuristic explanation based on decomposing the response into macroscopic and microscopic components. It is shown that the maxima of the combined response occur in clusters of micromaxima. The distribution of all maxima is estimated by accounting for the number of micromaxima introduced at each macromaximum.
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