Present　work　investigates　the　natural　vibration　characteristics　of　the　porous　metal　foam　truncated　conical　shells　with　the　two　interesting　elastic　restrained　boundaries　by　using　the　generalized　differential　quadrature　(GDQ)　method.　There　are　three　types　of　porosity　distribution　being　applied　to　do　the　vibration　analysis　(uniform　distribution,　nonuniform　distribution　and　nonuniform　asymmetric　distribution　along　the　thickness　direction).　In　the　light　of　the　first　order　shear　deformation　theory　(FSDT),　the　theoretical　formulations　are　derived　employing　Hamilton　principle.　Two　interesting　elastic　constraint　boundary　conditions　are　realized　by　employing　the　uniformly　distributing　artificial　springs.　The　mode　shapes　and　the　natural　frequencies　of　the　system　are　determined.　The　convergence　and　a　larger　number　of　validation　investigations　are　performed　by　the　contrast　researches　of　the　present　numerical　results　with　those　obtained　from　other　literatures　for　truncate　conical　shell　with　C–C,　S-S,　S-C,　S-C,　C-S,　C-F,　F-C,　F-S　and　F-F　boundary　conditions,　respectively.　The　effects　of　the　porosity,　pore　distribution　characteristic,　geometry,　boundary　conditions　of　the　conical　shell　and　elastic　restraint　stiffness　are　studied　comprehensively.　©　2021　Elsevier　Ltd