{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:43:01Z","timestamp":1760060581793,"version":"build-2065373602"},"reference-count":36,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2025,9,4]],"date-time":"2025-09-04T00:00:00Z","timestamp":1756944000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key research and development project for introducing high-level scientific and technological talents in Lyvliang City","award":["2022RC23","2022L566","20241308","03013030004"],"award-info":[{"award-number":["2022RC23","2022L566","20241308","03013030004"]}]},{"name":"Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi","award":["2022RC23","2022L566","20241308","03013030004"],"award-info":[{"award-number":["2022RC23","2022L566","20241308","03013030004"]}]},{"name":"2024 Shanxi Province College Students Innovation and Entrepreneurship Training Program Project","award":["2022RC23","2022L566","20241308","03013030004"],"award-info":[{"award-number":["2022RC23","2022L566","20241308","03013030004"]}]},{"name":"Lyuliang University Special Fund for Young Academic Backbones","award":["2022RC23","2022L566","20241308","03013030004"],"award-info":[{"award-number":["2022RC23","2022L566","20241308","03013030004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>Elevated railways are a crucial component of railway lines, characterized by their widespread distribution, simple structure, and low cost, while actively promoting local economic development. However, they also cause significant ground vibrations when trains pass. Similarly, considerable vibration levels are transmitted to the subgrade and surrounding structures when trains operate on viaducts within the Loess Plateau region. However, research on mitigating these vibration effects remains relatively scarce. This study focused on the impacts of such vibrations on surrounding buildings and stratum structures and evaluated the effectiveness of a vibration isolation trench in mitigating these effects. Time frequency domain analysis of ground vibrations during train passage revealed that the characteristic frequency of the train-induced pulse excitation in the track structure had a pronounced peak in the spectrum curve. The introduction of a vibration isolation trench effectively blocked the propagation of vibration waves in the soil, reduced soil vibration, and significantly lowered the peak value in the spectrum. Numerical simulations were employed to analyze the elliptical polarization dispersion characteristics of surface wave propagation with the vibration isolation trench in place, confirming the effective damping performance of the trench. These findings could offer a valuable reference for high-speed railway vibration isolation and significantly advance the application of surface wave theory in high-speed railway technology.<\/jats:p>","DOI":"10.3390\/computation13090215","type":"journal-article","created":{"date-parts":[[2025,9,4]],"date-time":"2025-09-04T15:31:21Z","timestamp":1756999881000},"page":"215","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Time\u2013Frequency Domain Analysis of the Ground Vibration of an Elevated Railway and Study on the Elliptic Polarization Dispersion Characteristics of Rayleigh Waves"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-0629-2064","authenticated-orcid":false,"given":"Shijie","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Architecture and Civil Engineering, Lyuliang University, Lyuliang 033001, China"},{"name":"Lvliang Key Laboratory of Structural Reliability Analysis in Engineering, Lyuliang University, Lyuliang 033001, China"}]},{"given":"Yulan","family":"Song","sequence":"additional","affiliation":[{"name":"College of Civil Engineering and Architecture, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China"}]},{"given":"Zhengping","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China"}]},{"given":"Zhe","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Architecture, University of Jinan, No.336 West Nanxinzhuang Road, Jinan 250022, China"}]},{"given":"Qingling","family":"Du","sequence":"additional","affiliation":[{"name":"School of Architecture and Engineering, Huanghuai University, Zhumadian 463000, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,9,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"105458","DOI":"10.1016\/j.jweia.2023.105458","article-title":"A review on aerodynamic load and dynamic behavior of railway noise barriers when high-speed trains pass","volume":"239","author":"Liu","year":"2023","journal-title":"J. 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