ItiswellknownthattheReynoldsnumberhasasignificanteffectonthevortex-inducedvibrations(VIV)ofcylinders.Inthispaper,anovelin-line(IL)andcross-flow(CF)couplingVIVpredictionmodelforcircularcylindershasbeenproposed,inwhichtheinfluenceoftheReynoldsnumberwascomprehensivelyconsidered.TheStrouhalnumberlinkedwiththevortexsheddingfrequencywascalculatedthroughafunctionoftheReynoldsnumber.ThecoefficientofthemeandragforcewasfittedasanewpiecewisefunctionoftheReynoldsnumber,anditsamplificationresultedfromtheCFVIVwasalsotakenintoaccount.TheoscillatingdragandliftforcesweremodelledwithclassicalvanderPolwakeoscillatorsandtheirempiricalparametersweredeterminedbasedonthelock-inboundariesandthepeak-amplitudeformulas.Anewpeak-amplitudeformulafortheILVIVwasdevelopedundertheresonanceconditionwithrespecttothemass-dampingratioandtheReynoldsnumber.Whencomparedwiththeresultsfromtheexperimentsandsomeotherpredictionmodels,thepresentmodelcouldgivegoodestimationsonthevibrationamplitudesandfrequenciesoftheVIVbothforelastically-mountedrigidandlongflexiblecylinders.ThepresentmodelconsideringtheinfluenceoftheReynoldsnumbercouldgenerallyprovidebetterresultsthanthatneglectingtheeffectoftheReynoldsnumber.
