Responsespectralmomentsareusefulforsystemreliabilityanalysis.Usually,spectralmo-mentsarecalculatedbythefrequencydomainmethod.Basedonthetimedomainmodalanalysisofrandomvibrations,theauthorspresentanewmethodforcalculatingresponsespectralmomentsthroughresponsecorrelationfunctions.Themethodcanbeappliedtobothclassicalandnon-classicaldampingcasesandtothreekindsofrandomexcitations,i.e.,whitenoise,band-limitedwhitenoise,andfilteredwhitenoise.