Under low-velocity impact, the dynamic response of fully clamped foam-filled sandwich beam with circular shape core is studied theoretically and numerically in this paper. Based on the yield condition of the foam-filled sandwich structure, the theoretical model of the dynamic response of the foam-filled sandwich beam with circular shape core under low-velocity impact is established, considering the foam effect and the interaction between stretching and bending moment. The 'bound' and analytical solution for the dynamic response of the foam-filled sandwich beam with circular shape core are derived. To verify the correctness of the theoretical solution, the finite element analysis is carried out. It is found that the difference between the two is very small, which can be considered that they are consistent. Finally, the effects of geometric parameters, material properties and the impact location about dynamic response of the foam-filled sandwich beams with circular shape core are discussed. It is shown that increasing the strength and thickness of face-sheets, the strength of foam, the strength and thickness of circular tube result in the increase in the impact force for the given deflection. When the loading location is farther from the midspan the sandwich beam filled with foam, the impact force increases, the maximum deflection decreases for the given impact energy.
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