Semi‐Analytical Modeling of Periodic Tubular Barriers for Vibration Mitigation Under Underground Train

ABSTRACT Inspired by the study of attenuation zone in periodic structures within solid‐state physics, periodic configurations have been increasingly utilized for vibration mitigation in rail transit systems. In this work, a semi–analytical solution is proposed to evaluate the vibration mitigation performance of periodic tubular barriers under underground moving train in a half‐space. The proposed solution is based on the wave function method, simultaneously considering the dynamic wheel‐rail coupling and multiple scattering effects among multiple embedded structures (tunnel and barriers). The multiple scattering interfaces involve the translation and transformation of wave functions. This developed method enables the assessment of vibration mitigation performance of periodic tubular barriers under underground moving trains. Furthermore, this study investigates the effects of spacing, material properties, and arrangement of the periodic tubular barriers. Numerical results demonstrate that the periodic configuration significantly mitigates train‐induced ground vibrations by broadening the attenuation bandwidth and improving reduction performance. Optimal performance is achieved when the shear wave bandgap overlaps the train's dominant vibration frequency.