{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T11:23:12Z","timestamp":1772796192672,"version":"3.50.1"},"reference-count":19,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2023,8,30]],"date-time":"2023-08-30T00:00:00Z","timestamp":1693353600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The steel rail and wheel in the railway system offer a high precision and smooth-running surface. Nevertheless, the point of contact between the rail and wheel presents a critical area that can give rise to rail corrugation. This phenomenon can potentially elevate sound and vibration levels in the vicinity considerably, necessitating advanced monitoring and assessment measures. Recently, many efforts have been directed towards utilizing in-service trains for evaluating rail corrugation, and the evaluation has primarily relied on axle-box acceleration (ABA). However, the ABA measurements require a higher threshold for vibration detection. This study introduces a novel approach to rail corrugation detection by carriage floor acceleration (CFA), aimed at lowering the detection threshold. The method capitalizes on the acceleration data sensed on the carriage floor, which is induced by the sound pressure (e.g., sound-field excitation) generated at the wheel\u2013rail contact point. An exploration of the correlation between these datasets is undertaken by simultaneously measuring both ABA and CFA. Moreover, a pivotal aspect of this research is the development of the eigenfrequency rail corrugation index (E-RCI), a mechanism that culminates energy around specific eigenfrequencies by CFA. Through this index, a focused analysis of rail corrugation patterns is facilitated. The study further delves into the stability, repeatability, and sensitivity of the E-RCI via varied measurement scenarios. Ultimately, the CFA-based rail corrugation identification is verified, establishing its practical applicability and offering a distinct approach to detecting and characterizing rail corrugation phenomena. This study has introduced an innovative methodology for rail corrugation detection using CFA, with the principal objective of lowering the detection threshold. This approach offers an efficient measurement technique for identifying rail corrugation areas, thereby potentially reducing maintenance costs and enhancing efficiency within the railway industry.<\/jats:p>","DOI":"10.3390\/s23177539","type":"journal-article","created":{"date-parts":[[2023,8,30]],"date-time":"2023-08-30T10:30:52Z","timestamp":1693391452000},"page":"7539","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Rail Corrugation Index Development by Sound-Field Excitation on the Carriage Floor of In-Service Train"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1207-7534","authenticated-orcid":false,"given":"Wei-Lun","family":"Hsu","sequence":"first","affiliation":[{"name":"Department of Systems Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 202301, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3804-7547","authenticated-orcid":false,"given":"Chia-Ming","family":"Chang","sequence":"additional","affiliation":[{"name":"Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1243\/PIME_PROC_1993_207_227_02","article-title":"Rail Corrugation: Characteristics, Causes and Treatments","volume":"207","author":"Grassie","year":"1993","journal-title":"Proc. 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Rail Rapid Transit"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/j.measurement.2016.01.012","article-title":"Axlebox accelerations: Their acquisition and time\u2013frequency characterisation for railway track monitoring purposes","volume":"82","author":"Salvador","year":"2016","journal-title":"Measurement"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Tanaka, H., Matsumoto, M., and Harada, Y. (2016, January 27\u201328). Application of Axle-Box Acceleration to Track Condition Monitoring for Rail Corrugation Management. Proceedings of the 7th IET Conference on Railway Condition Monitoring 2016 (RCM 2016), Birmingham, UK.","DOI":"10.1049\/cp.2016.1191"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1114","DOI":"10.1177\/09544097221076253","article-title":"Detection of rail local defects using in-service trains","volume":"236","author":"Shadfar","year":"2022","journal-title":"Proc. Inst. Mech. Eng. Part F J. Rail Rapid Transit"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1177\/09544097221107985","article-title":"Dynamic diagnosis method and quantitative characterization of rail corrugation","volume":"237","author":"Xu","year":"2023","journal-title":"Proc. Inst. Mech. Eng. Part F J. Rail Rapid Transit"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Thompson, D. (2009). Railway Noise and Vibration, Elsevier.","DOI":"10.1016\/B978-0-08-045147-3.00003-7"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"130","DOI":"10.2219\/rtriqr.46.130","article-title":"Deflection Limits of Structures for Train Speed-up","volume":"46","author":"Sogabe","year":"2005","journal-title":"Q. Rep. RTRI"},{"key":"ref_17","unstructured":"Fahy, F., and Gardonio, P. (2007). Sound and Structural Vibration, Academic Press. [2nd ed.]."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"V\u00e9r, I.L. (2005). Noise and Vibration Control Engineering, Wiley.","DOI":"10.1002\/9780470172568"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1109\/TAC.1980.1102314","article-title":"The singular value decomposition: Its computation and some applications","volume":"25","author":"Klema","year":"1980","journal-title":"IEEE Trans. Autom. 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