Vibrationmodeoftheconstraineddampingcantileverisbuiltupaccordingtothemodesuperpositionoftheelasticcantileverbeam.ThecontrolequationoftheconstraineddampingcantileverbeamisthenderivedusingLagrange'sequation.Dynamicresponseoftheconstraineddampingcantileverbeamisobtainedaccordingtotheprincipleofvirtualwork,whentheconcentratedforceissuddenlyunloaded.Frequenciesandtransientresponseofaseriesofconstraineddampingcantileverbeamsarecalculatedandtested.Influenceofparametersofthedampinglayerontheresponsetimeisanalyzed.Analyitcalandexperimentalapproachesareusedforverification.Theresultsshowthatthemethodisreliable.