摘要
Asimplifiedmethodforthesimulationoftheergodicspatiallycorrelatedseismicgroundmotionisproposedbasedonthecommonlyusedoriginalspectralrepresentationmethod.Torepresentthecorrelationinthegroundmotion,thephaseanglesaregivenbyexplicittermswithaclearphysicalmeaning.Bytheseexplicitterms,thecomputationalefficiencycanbeimprovedbyconvertingthedecompositionofthecomplexcross-spectralmatrixintothedecompositionoftherealincoherencecoefficientmatrix.Double-indexingfrequenciesareintroducedtosimulatetheergodicseismicgroundmotion,andtheergodicfeatureoftheimprovedmethodisdemonstratedtheoretically.Subsequently,anexplicitsolutionoftheelementsofthelowertriangularmatrixundertheCholeskydecompositionisgiven.Withthisexplicitsolution,theimprovedmethodissimplified,andthecomputationalefficiencycanbeimprovedgreatlybyavoidingtherepetitiveCholeskydecompositionofthecross-spectralmatrixineachfrequencystep.Finally,anumericalexampleshowsthegoodcharacteristicoftheimprovedmethod.
出版日期
2011年10月20日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)