Bolted　joints　are　widely　used　for　the　mechanical　assembly　of　engineering　structures.　It　has　been　widely　observed　that　fasteners　turn　loose　when　subjected　to　dynamic　loads　in　the　form　of　vibration　or　cyclic　loading.　Preload　relaxation　of　threaded　fasteners　is　the　main　factor　that　influences　the　joint　failure　under　normal　cyclic　loading,　but　it　is　difficult　to　monitor　the　energy　dissipation　between　the　interface　of　the　bolted　joint.　This　paper　presents　an　energy　dissipation　model　for　the　bolted　joint　based　on　two-degree-of-freedom　vibration　differential　mathematical　model.　A　non-uniform　pressure　at　the　interface　is　considered　and　the　resulted　distinct　stick-slip　transitions　along　the　contact　interface　are　presented.　The　parameters　of　the　model　is　calculated　by　using　the　fractal　theory　and　differential　operator　method.　Experiments　are　conducted　to　verify　the　efficiency　of　the　proposed　model.　The　results　show　that　the　theoretical　mode　shapes　are　in　good　agreement　with　the　experimental　mode　shapes.　According　to　the　change　of　cyclic　load　and　vibration　frequency,　the　vibration　response　and　the　law　of　energy　dissipation　under　different　factors　can　be　obtained.　The　results　show　that　the　vibration　frequency　and　cyclic　load　are　the　main　factors　affecting　the　energy　dissipation　between　interfaces.　The　energy　dissipation　of　the　contact　surface　of　the　bolted　joints　account　for　the　main　part　of　the　energy　dissipation　of　the　bolted　structure.　As　the　preload　increases,　its　energy　dissipation　decrease　gradually.　The　results　provide　a　theoretical　basis　for　reducing　micro-slip　at　the　bolted　joints　interface.　Copyright　©　2019　ASME.