简介：Stochasticdynamicanalysisofthenonlinearsystemisanopenresearchquestionwhichhasdrawnmanyscholars'attentionforitsimportanceandchallenge.Fokker–Planck–Kolmogorov(FPK)equationisofgreatsignificancebecauseofitstheoreticalstrictnessandcomputationalaccuracy.However,practicaldifficultieswiththeFPKmethodappearwhentheanalysisofmulti-degree-offreedom(MDOF)withmoregeneralnonlinearityisrequired.Inthepresentpaper,byinvokingtheideaofequivalenceofprobabilityflux,thegeneralhigh-dimensionalFPKequationrelatedtoMDOFsystemisreducedtoone-dimensionalFPKequation.Thenacellrenormalizedmethod(CRM)whichisbasedonthenumericalreconstructionofthederivedmomentsofFPKequationisintroducedbycoarseningthecontinuousstatespaceintoadiscretizedregionofcells.ThenthecellrenormalizedFPK(CR-FPK)equationissolvedbydifferencemethod.Threenumericalexamplesareillustratedandtheeffectivenessofproposedmethodisassessedandverified.