This　paper　proposes　a　general　method　for　analyzing　the　dynamic　response　characteristics　of　sector-　rectangular　coupled　plates　subjected　to　external　impacts.　This　method　combines　the　method　of　reverberation-ray　matrix　(MRRM)　with　the　strip　transfer　function　method,　referred　to　as　the　strip　method　of　reverberation-ray　matrix　(S-MRRM).　The　traditional　MRRM　has　some　limitations　for　the　dynamic　modeling　of　the　sector　structure　and　also　requires　the　Lévy-type　exact　solution,　leading　to　simply　supported　boundary　conditions　in　certain　direction　of　the　structure.　The　present　method　can　not　only　address　the　aforementioned　limitations　but　also　maintain　the　efficiency　advantage　of　the　wave　method　for　solution.　The　investigated　structure　consists　of　sandwich　panels　composed　of　functionally　graded　carbon　nanotube　reinforced　(FG-CNTRC)　panels　and　the　three-dimensional　graphene　foam　(3D-GrF)　core.　The　structure　is　discretized　into　several　strip　elements　by　the　strip　transfer　function　method,　and　the　whole　dynamic　model　of　the　structure　is　obtained　through　matrix　assembly.　The　motion　differential　equation　in　matrix　form　is　derived　by　using　Hamilton　principle,　followed　by　obtaining　the　matrix-form　wave　number　equation.　Upon　deriving　the　wave　solution　of　the　structure　based　on　this　equation,　the　transient　and　steady-state　responses　of　the　structure　are　obtained　by　employing　MRRM.　Convergence　analysis　is　conducted　on　these　calculation　results,　followed　by　comparison　with　FEM　results　to　validate　its　prediction　accuracy.　Finally,　through　a　comprehensive　parametric　study,　the　impacts　of　various　factors　such　as　CNTs　distribution　form,　CNTs　volume　fraction,　3D-GrF　pore　distribution　form,　3D-GrF　porosity,　and　sandwich　panel　thickness　ratio　on　both　transient　and　steady-state　responses　of　these　structures　were　investigated,　thereby　providing　guidance　for　engineering　applications.　©　2024　Elsevier　Ltd