This study investigates the dynamic response of a gas-detonation demining device's structure to shock waves from mine detonations. The Arbitrary Lagrangian-Eulerian method, implemented in LS-DYNA, was selected as the most suitable computational approach for simulating the coupled system “soil-air-mine-structure”. To accurately reproduce cratering and capture the formation of secondary reflected waves, the soil was explicitly represented in the model as a deformable medium. The simulation results revealed the complex dynamics of shock wave propagation, allowing for a detailed analysis of the interaction between the primary and reflected waves with the demining device’s structure. The developed numerical model made it possible to determine the pressure loads generated by both primary and secondary shock waves acting on structural elements of the demining device. The obtained results demonstrated that these loads are of destructive magnitude, leading to stresses exceeding the critical strength of the current design. Based on the numerical assessment, engineering recommendations were formulated to improve the structural resistance, including reinforcement of the main tube and supporting frame as well as the use of energy-dissipating attachments.