{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T20:11:23Z","timestamp":1784923883881,"version":"3.55.0"},"reference-count":26,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T00:00:00Z","timestamp":1695945600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Hunan Natural Science Foundation Science and Education Joint Fund Project","award":["2022JJ60109"],"award-info":[{"award-number":["2022JJ60109"]}]},{"name":"Hunan Natural Science Foundation Science and Education Joint Fund Project","award":["2021JJ10061"],"award-info":[{"award-number":["2021JJ10061"]}]},{"name":"Hunan Natural Science Foundation Science and Education Joint Fund Project","award":["202045006"],"award-info":[{"award-number":["202045006"]}]},{"name":"Hunan Natural Science Foundation Science and Education Joint Fund Project","award":["502390001"],"award-info":[{"award-number":["502390001"]}]},{"name":"Hunan Science Fund for Distinguished Young Scholars","award":["2022JJ60109"],"award-info":[{"award-number":["2022JJ60109"]}]},{"name":"Hunan Science Fund for Distinguished Young Scholars","award":["2021JJ10061"],"award-info":[{"award-number":["2021JJ10061"]}]},{"name":"Hunan Science Fund for Distinguished Young Scholars","award":["202045006"],"award-info":[{"award-number":["202045006"]}]},{"name":"Hunan Science Fund for Distinguished Young Scholars","award":["502390001"],"award-info":[{"award-number":["502390001"]}]},{"name":"Central South University Research Project","award":["2022JJ60109"],"award-info":[{"award-number":["2022JJ60109"]}]},{"name":"Central South University Research Project","award":["2021JJ10061"],"award-info":[{"award-number":["2021JJ10061"]}]},{"name":"Central South University Research Project","award":["202045006"],"award-info":[{"award-number":["202045006"]}]},{"name":"Central South University Research Project","award":["502390001"],"award-info":[{"award-number":["502390001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This work considers the influence of concrete creep on track irregularities and establishes the dynamic motion equation of the train-track-bridge coupling system. The track irregularity is obtained by superposition of the initial geometric irregularity and additional geometric irregularity of the steel rail caused by creep. When high-speed railway trains pass through bridges; the vertical acceleration and vertical displacement of continuous beam bridges are related to the train\u2019s operating speed, and the influence of creep camber is relatively small. At the same time, considering the randomness of track irregularities, the dynamic responses of the train track bridge coupling system under the action of random track irregularities are analyzed, and the dynamic responses of trains at different operating speeds are obtained. The deterministic and uncertain dynamic responses of the train track bridge system were compared and analyzed to verify the accuracy of the Karhunen Lo\u00e9ve expansion (KLE)-Point estimate method (PEM) calculation results. The results indicate that the random characteristics of track irregularities have a significant impact on train dynamic response. Based on the random system vibration analysis and considering the safety and comfort indicators of high-speed railway trains, the creep deformation limit of a continuous beam bridge with a length of 48 m + 80 m + 48 m is obtained to be 19 mm. This is the first time that the dynamic responses of train-symmetry-bridge system are calculated by considering concrete creep and the creep-induced track irregularity, which has certain significance for understanding the dynamics of train -bridge system. In addition, the proposed creep threshold is also of great significance to ensure the safety of traveling.<\/jats:p>","DOI":"10.3390\/sym15101846","type":"journal-article","created":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T07:42:08Z","timestamp":1695973328000},"page":"1846","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Dynamic Responses of Train-Symmetry-Bridge System Considering Concrete Creep and the Creep-Induced Track Irregularity"],"prefix":"10.3390","volume":"15","author":[{"given":"Wenfeng","family":"Li","sequence":"first","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongkai","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Minglong","family":"Wei","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"},{"name":"Hefei Bangcheng Hetai Real Estate Co., Ltd., Hefei 230000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1636-4111","authenticated-orcid":false,"given":"Ping","family":"Xiang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fang","family":"Tang","sequence":"additional","affiliation":[{"name":"Changsha Health Vocational College, Changsha 410075, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Binwei","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Architecture and Civil Engineering, Xiamen University, Xiamen 361005, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qishi","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Central South University, Changsha 410075, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"109454","DOI":"10.1016\/j.engstruct.2019.109454","article-title":"Train-bridge system dynamics analysis with uncertain parameters based on new point estimate method","volume":"199","author":"Jiang","year":"2019","journal-title":"Eng. 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