Based　on　the　theory　of　layered　displacement　field　and　the　geometric　nonlinearity　of　von　Karman’s　large　deformation,　a　nonlinear　motion　partial　differential　equation　of　composite　material　lattice　truss　sandwich　panels　was　established　using　the　Hamiltonian　principle.　Then,　the　vibration　partial　differential　equation　of　the　sandwich　panels　was　discretized　into　ordinary　differential　equations　using　the　Galerkin　method.　Finally,　a　multiscale　method　was　used　to　solve　and　obtain　the　nonlinear　modulation　equation　of　the　composite　lattice　sandwich　panel　under　the　conditions　of　3:1　superharmonic　resonance　and　1:3　coexisting　internal　resonance.　Through　numerical　calculations,　the　amplitude　value　of　the　composite　lattice　sandwich　panel　shows　a　decreasing　trend　with　the　increase　of　external　excitation　amplitude　during　superharmonic　resonance.　The　indirectly　excited　second　mode　is　sensitive　to　the　response　of　different　micro　cell　configuration　changes,　while　the　first　mode　is　essentially　not　affected　by　the　cell　configuration.　©　2024　Chinese　Academy　of　Mechanics.　All　rights　reserved.