This contribution presents an explicit time-integration strategy for the dynamic analysis of thin shell-like structures subjected to singular nonconservative dynamic loadings. The proposed approach is based on the Asymptotic Numerical Method (ANM) [1], which consists in performing a time-asymptotic expansion of the unknown fields [2]. Unlike classical incremental time-stepping schemes, ANM provides a continuous representation of the solution over time, allowing for an enriched description of the structural response. This property is particularly well suited to the treatment of geometric nonlinearities and nonconservative forces. Spatial discretization is carried out using enriched shell finite elements originally developed by Büchter et al. [3]. These elements retain a three-dimensional formulation of the constitutive law while avoiding numerical locking phenomena through the Enhanced Assumed Strain (EAS) concept [4]. This formulation ensures a robust and accurate modelling of thin structures undergoing large displacements and rotations. ANM requires the application of loadings with a regular time evolution. However, the problems considered involve non-regular dynamic excitations such as step, or Friedlander-type loadings, which are representative of blast phenomena and are characterized by temporal singularities. Regularized formulations of these loadings are therefore introduced to enable their time expansion within the ANM framework. The proposed theoretical and numerical developments are illustrated through reference benchmark problems and compared with classical time integration schemes. The results demonstrate the relevance of ANM for nonlinear dynamic analyses of thin elastic shells, particularly in identifying loading scenarios associated with buckling-driven failure mechanisms. REFERENCES [1] COCHELIN, B., DAMIL, N., POTIER-FERRY, M., 2007. Méthode Asymptotique Numérique. [2] CLAUDE, B., GIRAULT, G., LEBLE, B., CADOU, J.-M., 2023. On the use of an high order perturbation method for numerical time integration in structural dynamics. [3] BÜCHTER, N., RAMM, E., ROEHL, D., 1994. Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept. [4] SIMO, J.C., RIFAI, M.S., 1990. A class of mixed assumed strain methods and the method of incompatible modes.