Thin-walled shells are fundamental to the structural integrity of components like fuselage panels, wings, and space-bound shielding. These structures are constantly exposed to dynamic loading conditions, such as high-frequency cyclic loads and aerodynamic pressures. Over time, even minor damage—such as micro-cracks or localized defects—can significantly reduce the stability and resilience of these aerospace structures, making accurate prediction of their stability crucial for safe design and operation. Conventional stability analysis methods often struggle to capture the complex interaction between damage mechanics and dynamic stability, especially in thin-walled structures under high-stress conditions. This project aims to develop an advanced peridynamic model to analyze the stability of thin-walled aerospace structures with damage under time-dependent loading. Peridynamic theory, a nonlocal formulation, is particularly suited to handle discontinuities and damage progression, providing an innovative approach to studying stability in damaged structures where traditional methods face limitations. The model will simulate critical parameters such as crack initiation and propagation in damaged zones, as well as assess the effects of loading frequency, amplitude, and direction on stability and post-buckling behavior. A comparative analysis with finite element methods will validate the peridynamic model, showcasing its advantages in handling complex stability scenarios. The findings will provide aerospace engineers with insights into damage-sensitive regions, enabling the design of resilient structures with enhanced stability under dynamic conditions. This research could lead to safer, longer-lasting thin-walled components, supporting innovation in high-performance lightweight structures.