Graphene　platelets　(GPLs)-reinforced　metal　foam　structures　enhance　the　mechanical　properties　while　maintaining　the　lightweight　characteristics　of　metal　foams.　Further　bonding　piezoelectric　actuator　and　sensor　layers　on　the　surfaces　of　GPLs-reinforced　metal　foam　beams　enables　active　vibration　control,　greatly　expanding　their　applications　in　the　aerospace　industry.　For　the　first　time,　this　paper　investigates　the　vibration　characteristics　and　active　vibration　control　of　GPLs-reinforced　metal　foam　beams　with　surface-bonded　piezoelectric　layers.　The　constant　velocity　feedback　scheme　is　used　to　design　the　closed-loop　controller　including　piezoelectric　actuators　and　sensors.　The　effects　of　the　GPLs　on　the　linear　and　nonlinear　free　vibrations　of　the　beams　are　numerically　studied.　The　Newmark-beta　method　combined　with　Newton＇s　iteration　technique　is　used　to　calculate　the　nonlinear　responses　of　the　beams　under　different　load　forms　including　harmonic　loads,　impact　loads,　and　moving　loads.　Additionally,　special　attention　is　given　to　the　vibration　reduction　performance　of　the　velocity　feedback　control　on　the　responses　of　the　beam.