The nonlinear resonance problem of composite lattice sandwich panels is studied when both 1:3 internal resonance and external combined resonance occur simultaneously.Firstly,based on Hamilto-nian principle and layered displacement field theory,the vibration partial differential equation of compos-ite sandwich panels was established.Then,the ordinary differential equation obtained by Galerkin dis-cretization was solved using multi-scale method,and the modulation equation of the sandwich panel was obtained in the presence of both internal and combination resonances.Finally,the bifurcation diagram of the steady-state equilibrium solution of the modulation equation with changes in system parameters was obtained using numerical methods.The effects of different lattice core cell configurations,external exci-tation frequencies,and external excitation amplitudes on the nonlinear combined resonance characteris-tics of composite lattice sandwich panels is studied.
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