“…In recent years, steel structures are increasingly favored in the field of urban rail transit and bridges on account of their benefits such as high strength, light weight, and strong crossing ability (Liang et al, 2019; 2020; Liu et al, 2020; Zhang et al, 2021). However, compared with the traditional concrete bridges, the noise problem caused by trains passing through the steel bridges is much more serious by reason of the so-called “structure-borne noise,” which is generally accompanied by wide spectrums, large amplitudes, and other properties (Janssens and Thompson, 1996; Lei, 2019; Li et al, 2022).…”