This　research　is　designed　to　investigate　the　vibrational　characteristics　of　a　sandwich　cylindrical　shell　structure　with　an　elastic-porous　metal-rubber　core　in　the　thermal　environment　by　the　power　flow　method.　The　finite　element　models　of　the　homogeneous　and　sandwich　cylindrical　shell　structures　are　established　for　harmonic　response　analysis　completed　by　the　mode　superposition　method.　Further,　the　structural　power　flow　is　calculated　and　visualized　based　on　the　results　of　the　finite　element　analysis.　A　comparison　is　made　with　the　results　for　a　plate　available　in　the　literature　validating　the　effectiveness　of　the　power　flow　visualization　method.　The　effects　of　some　key　factors,　such　as　the　frequency,　the　metal-rubber　core,　the　length-to-radius　ratio,　and　the　temperature　on　the　power　flow　of　the　sandwich　cylindrical　shell　structure,　are　analyzed　using　power　flow　cloud　pictures　and　vector　diagrams.　The　results　reveal　that　the　frequency　affects　the　distribution　of　power　flow,　and　the　metal-rubber　core　can　dissipate　energy,　whereas　the　length-to-radius　ratio　and　temperature　do　not　have　a　significant　influence　on　the　power　flow　of　the　sandwich　cylindrical　shell　structure　with　a　metal-rubber　core　(SCS-MR).　This　work　should　be　valuable　for　the　noise　and　vibration　control　application　of　the　SCS-MR.