A theoretical model to predict the elastic response of simply supported cylindrical shell under inner blast

This paper presents a theoretical model designed to predict the elastic response of simply supported cylindrical shells under internal explosion loads at arbitrary positions along the central axis. The model accounts for the propagation and attenuation effects of explosion waves over time and space. To accurately capture the varying impact area of the blast on the shell wall, the explosion wave function is divided into three distinct stages. By integrating classical shell theory and applying the Laplace transform solution method, the model provides an effective means of calculating the dynamic displacement response. The accuracy of the theoretical model is validated through finite element simulations across various cylinder radii. The strong agreement between theoretical and numerical results demonstrates the robustness of the model across a wide range of applications. This work provides a fundamental understanding of the dynamic behavior of cylindrical shells under internal blast loading, essential for enhancing safety and reliability in engineering applications.