The study of blast loading is an essential part of engineering shield design, especially for explosion-proof plates to reduce the impact of explosions that have the potential to cause substantial damage to structural elements. This study aims to detail the explosion phenomenon and the response of the sandwich panel structure under explosive loading. The Finite Element Method (FEM) was used to model the dynamic structural response to explosions. Explicit finite element modeling and analysis were performed in the ABAQUS CAE software. An air explosion simulation code is used to determine the blast load on the lower surface of the test panel. The blast load is applied to the bottom plate of a typical armor personnel vehicle. Structural analysis carried out in this study relates to stress, displacement, and energy absorption. Three different design variations have been developed, including Honeycomb, Stiffener, and Corrugated as solutions. The faceplate and core’s stress, displacement, and energy absorption were investigated in numerical simulations. The results of this study paved the way for guidelines for the design of lightweight structural reinforcement.