Elevated track structures are widely employed in high-speed railways and urban rail transit systems due to their space efficiency, minimal land occupation, controlled settlement, and cost-effectiveness in both construction and operation. These advantages make them an effective solution for mitigating urban traffic congestion. However, a notable drawback is their vibration and noise emissions, which can impact the surrounding environment along the rail corridor. In this chapter, two distinct models, an analytical model and a three-dimensional finite element model (3D FEM), are developed to analyze the dynamic behavior of the elevated track structures. Using these models, the study examines the velocity admittance distribution of box girders and U-beams, and the vibration attenuation characteristics of the elevated track structure as a function of distance. Finally, a comparative analysis is conducted to evaluate the adaptability and accuracy of the two modeling approaches.