Modern transportation relies heavily on railway systems, which offer high capacity, sustainability, and efficient mobility. Because they influence social, economic, and environmental factors, their design and analysis are a major concern for civil and transportation engineers. Understanding how trains, tracks, and the surrounding ground interact dynamically, especially in terms of vibration generation, requires accurate railway system modeling. This study introduces a simplified, decoupled approach for simulating ground vibrations caused by train operations. The proposed method divides the problem into two main subsystems. The first, representing the train-track interaction, is modeled through multibody dynamics (MBD), enabling precise and efficient modeling of wheel-rail contact forces and train motion. The second subsystem addresses the track-soil interaction and is developed employing a three-dimensional finite-element (3D FE) model in ANSYS, which allows the modeling of vibration in the ground due to dynamic train loads. Despite its simplified structure, the approach produces encouraging outcomes, accurately capturing the main physical behaviors involved. As such, it provides a practical and resource-efficient solution for engineers and researchers studying railway-induced ground vibrations.