To investigate the dynamic characteristics of simply-supported beam bridges in high-speed railways under long-term deterioration, the deterioration law of concrete strength, considering the combined effects of carbonation and freeze-thaw cycles, is analyzed based on time-varying concrete strength theory. The accuracy of the finite element model is validated by measuring and comparing the vibration signals of a two-lane simply-supported beam bridge on the Beijing-Shenyang high-speed railway. Subsequently, the frequency variability of mid-span box girder vibration signals and vibration energy is analyzed using local maximum synchrosqueezing transform, and the multifractal characteristics of the box girder vibration signals are further examined. The results indicate that vertical acceleration of the box girder and the top of the pier increased by 31.2% and 67.6%, respectively, as deterioration intensified. Additionally, the vibration frequency of the box girder decreased from 28 Hz to 25 Hz, suggesting a marked decline in structural stiffness. Simultaneously, the energy of the self-oscillating frequency near 8 Hz dispersed progressively over time. The width (Δα) of the multifractal spectrum increases gradually, reflecting more pronounced multifractal characteristics, while the waveform of the box girder vibration signals shifts from small to large wave peaks. These findings provide valuable insights for performance evaluation, safety monitoring, and maintenance of simply-supported beam bridges.