## 1 Introduction
[14] investigated the vibration acceleration response of rails, sleepers, and embankment in the tundra test section of the Beilu River of the Qinghai-Tibet Railway by monitoring the vibration acceleration response of rails, sleepers, and embankment on-site, as well as the vibration response of rail traffic to track structure. The vibration response of railroad traffic to the track structure and its attenuation law were analyzed. [PERSON] et al. [15] investigated the effect of the permafrost layer on the vibration response of embankment trains in winter and summer using acceleration time course and acceleration spectrum based on seasonal permafrost areas in Northeast China. [PERSON] et al. [16] provided the intensity, frequency, and propagation characteristics of environmental vibration of transportation and analyzed the most influential environmental vibration problems in urban rail transport. [PERSON] et al. [16] provided the intensity, frequency, and propagation characteristics of transportation environmental vibration, analyzed the primary influencing factors of urban rail transit, and summed up the current industry standards and evaluation procedures. Numerous validated experimental, analytical methods have been proposed by researchers as a basis for evaluating the effects of environmental vibration-induced impacts on buildings, according to a review of the relevant literature. Concerning the research on the impact of vibration caused by rail transit on buildings, the researchers focus primarily on the buildings surrounding the rail transit, analyze the effect of vibration caused by rail transit on buildings, and obtain the pertinent parameters for examining and evaluating the safety and integrity of the buildings. The current research outcomes in this field are more refined, using the extant modeling methods and analysis methods for finite element modeling of buildings and computational assessment of buildings. [PERSON] & [PERSON] [17] employed a combination of observational and theoretical techniques to investigate the actual situation, generation mechanism, and propagation of environmental vibration along the Pearl Line. [PERSON] et al. [18] conducted a field experimental investigation of environmental vibration caused by a train. Field experiments were conducted to examine vibration. [PERSON] et al. [19] utilized the vibration signals of the Beijing Railway Transit Line 13 as inputs and calculated the responses for the 6-story, 10-story, and 16-story reinforced concrete and 5-story masonry structures. The environmental vibration outcomes were evaluated using Chinese and ISO standards. [PERSON] et al. [20] conducted on-site measurements of indoor vibration and noise spectra of buildings near urban rapid transit lines in Tianjin, China, as an example to establish control criteria and evaluate the effectiveness of the corresponding mitigation measures. [PERSON] et al. [21] studied reducing vibration caused by elevated tracks. They measured vibrations on the ground near an elevated light rail system under various soil conditions. They confirmed the validity of finite element analysis and proposed a rapid prediction method for ground vibration. [PERSON] et al. [22] performed field measurements to assess the dynamic behavior of high-speed trains on bridges and the surrounding environment of the Wuhan-Guangzhou Passenger Dedicated Line. The findings indicate that the vibration response of the railroad environment satisfies the specified standards. Additionally, the environmental vibrations along the railroad were investigated. [PERSON] et al. [23] conducted vibration and noise field measurements of subway train operation on the ground and adjacent three-story structures in a segment of subway rolling stock in Guangzhou, China. [PERSON] & [PERSON] [24] conducted measurements and analyses of environmental vibrations caused by the operation of freight trains near a typical Chinese low- and medium-speed rail line and the adjacent residential areas.