Simplified analysis of large deflections for metal sandwich plates with various lattice cores subjected to impulsive loading

A new simplified analysis is carried out to predict the dynamic response of clamped metal sandwich plates with various lattice cores subjected to impulsive loading. Based on the yield condition for sandwich plate cross-section, the interaction of bending moment and axial force for the section is decoupled. The simplified analytical solutions of the maximum midspan deflection and structural response time are obtained. Moreover, neglecting the effect of bending moment, a simplified plastic-string model is developed. Comparisons of the present theoretical predictions with previous analytical and numerical results are conducted and good agreement is achieved for a wide range of sandwich core topologies.