{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:40:27Z","timestamp":1776796827860,"version":"3.51.2"},"reference-count":37,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,1,25]],"date-time":"2021-01-25T00:00:00Z","timestamp":1611532800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key R&amp;D Program of China","award":["2019YEC1509500"],"award-info":[{"award-number":["2019YEC1509500"]}]},{"name":"Shenzhen Science and Technology program","award":["KQTD20180412181337494"],"award-info":[{"award-number":["KQTD20180412181337494"]}]},{"DOI":"10.13039\/501100001809","name":"NSFC","doi-asserted-by":"publisher","award":["U1939207"],"award-info":[{"award-number":["U1939207"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The train-induced vibration response provides a flexible solution for the real-time monitoring deformation of high-speed railway track slab in actual operation. This paper proposes a long-term real-time monitoring method for track slab deformation based on wavelet packet energy (WPE) using fiber optic accelerometers to record train-induced vibration. We found that the vibration response law of track slab deformation could be established by using the WPE of the frequency band covering the first- and second-order frequencies induced by the adjacent carriages. A field test was carried out for more than one year on the Beijing\u2013Shanghai high-speed railway to investigate the train-induced vibration response law of track slab that was continuously deformed under a long-term temperature load. The maximum values of the WPE characteristic index appeared in winter and summer, and they were positively correlated with the temperature difference between the air environment and the track slab under the daily temperature load. These results were demonstrated to be consistent with the track slab deformation law for long-term and daily temperature loads. The novel method based on fiber optic accelerometers and WPE provides a new method for the long-term and real-time monitoring of track slab deformation.<\/jats:p>","DOI":"10.3390\/s21030787","type":"journal-article","created":{"date-parts":[[2021,1,25]],"date-time":"2021-01-25T12:28:31Z","timestamp":1611577711000},"page":"787","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Train-Induced Vibration Monitoring of Track Slab under Long-Term Temperature Load Using Fiber-Optic Accelerometers"],"prefix":"10.3390","volume":"21","author":[{"given":"Jianxiang","family":"Zhang","sequence":"first","affiliation":[{"name":"State Key Laboratory of Transducer Technology, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China"},{"name":"College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"given":"Wenzhu","family":"Huang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Transducer Technology, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China"},{"name":"College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4869-6564","authenticated-orcid":false,"given":"Wentao","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Transducer Technology, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China"},{"name":"College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"given":"Fang","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Transducer Technology, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China"},{"name":"College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"given":"Yanliang","family":"Du","sequence":"additional","affiliation":[{"name":"College of Civil and Transportation Engineering, Shenzhen University, Shenzhen 518060, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,25]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"Damage detection of ballastless railway tracks by the impact-echo method","volume":"171","author":"Xu","year":"2017","journal-title":"Proc. Inst. Civ. Eng. Transp."},{"key":"ref_2","first-page":"1","article-title":"Influence of temperature gradient load of slab on dynamic characteristic of train-slab track on subgrade system","volume":"10","author":"Xu","year":"2013","journal-title":"J. Railw. Sci. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.coldregions.2009.08.005","article-title":"Field monitoring on the train-induced vibration response of track structure in the Beiluhe permafrost region along Qinghai\u2013Tibet railway in China","volume":"60","author":"Ling","year":"2010","journal-title":"Cold Reg. Sci. Technol."},{"key":"ref_4","first-page":"54","article-title":"Analysis of Ballastless Track Plate Vertical Deformation Characteristics under Thermal Stress","volume":"23","author":"Xi","year":"2020","journal-title":"Urban Mass Transit"},{"key":"ref_5","first-page":"29","article-title":"Research on the Temperature Features of CRTS\u2161 Ballastless Track Slab in Severe Cold Region","volume":"33","author":"Guo","year":"2016","journal-title":"J. Railw. Eng. Soc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.conbuildmat.2020.119600","article-title":"Study on the mechanical performance and interface damage of CRTS II slab track with debonding repairment","volume":"257","author":"Xu","year":"2020","journal-title":"Constr. Build. Mater."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1177\/0954409718794018","article-title":"Recognition algorithm for the disengagement of cement asphalt mortar based on dynamic responses of vehicles","volume":"233","author":"Shi","year":"2019","journal-title":"Proc. Inst. Mech. Eng. Part F J. Rail Rapid Transit"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2019\/4894610","article-title":"Estimation of Cement Asphalt Mortar Disengagement Degree Using Vehicle Dynamic Response","volume":"2019","author":"Shi","year":"2019","journal-title":"Shock Vib."},{"key":"ref_9","unstructured":"Liu, H., Lu, H., He, Y., and Li, Z. (2018, January 8\u201310). Iop Neural Network Based Temperature Field Mapping Model for CRTS II Type Ballastless Track. Proceedings of the 2018 2nd International Conference on Artificial Intelligence Applications and Technologies, Shanghai, China."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1917","DOI":"10.1007\/s11431-014-5634-x","article-title":"Temperature-induced deformation of CRTS \u2161 slab track and its effect on track dynamical properties","volume":"57","author":"Song","year":"2014","journal-title":"Sci. China Technol. Sci."},{"key":"ref_11","first-page":"18","article-title":"Measurement and Research on Temperature Warping of CRTS I Track Slab and Crack between Track Slab and Cement Asphalt Mortar Cushion","volume":"2","author":"Shao","year":"2013","journal-title":"China Railw. Sci."},{"key":"ref_12","first-page":"57","article-title":"Identification of void in mortar layer of CRTS II slab ballastless track based on strain mode","volume":"44","author":"Zhao","year":"2020","journal-title":"J. Beijing Jiaotong Univ."},{"key":"ref_13","first-page":"179","article-title":"A study on crack and motor-void identification of ballastless track slab using strain modal","volume":"39","author":"Zhang","year":"2020","journal-title":"J. Vib. Shock"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0219455420500819","article-title":"Experimental Vibration Investigation on High-Speed Railway Ballastless Track-Subgrade Structure","volume":"20","author":"Chen","year":"2020","journal-title":"Int. J. Struct. Stab. Dyn."},{"key":"ref_15","first-page":"1","article-title":"Effect of Cement Asphalt Mortar Debonding on Dynamic Properties of CRTS II Slab Ballastless Track","volume":"2014","author":"Wang","year":"2014","journal-title":"Adv. Mater. Sci. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Rao, P.S., and Mahendra, N.V.D. (2017). Vibration Based Damage Identification Method for Cantilever Beam Using Artificial Neural Network, Springer.","DOI":"10.1007\/978-3-319-67443-8_6"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1088\/0964-1726\/10\/3\/314","article-title":"Vibration-based damage detection in civil engineering: Excitation sources and temperature effects","volume":"10","author":"Peeters","year":"2001","journal-title":"Smart Mater. Struct."},{"key":"ref_18","unstructured":"Wang, J. (2017). Study on the spectrum characteristics of CRTS II type ballastless track on subgrade under High-Speed condition. [Master\u2019s Thesis, Beijing Jiaotong University]."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1016\/j.ijnonlinmec.2013.10.004","article-title":"Interface damage and its effect on vibrations of slab track under temperature and vehicle dynamic loads","volume":"58","author":"Zhu","year":"2014","journal-title":"Int. J. Non Linear Mech."},{"key":"ref_20","first-page":"1","article-title":"Railway monitoring system using optical fiber grating accelerometers","volume":"27","author":"Kinet","year":"2018","journal-title":"Smart Mater. Struct."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"4556","DOI":"10.1109\/JSEN.2013.2270554","article-title":"All-Metal Optical Fiber Accelerometer With Low Transverse Sensitivity for Seismic Monitoring","volume":"13","author":"Jiang","year":"2013","journal-title":"IEEE Sens. J."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.soildyn.2015.02.009","article-title":"Track and ground vibrations generated by high-speed train running on ballastless railway with excitation of vertical track irregularities","volume":"76","author":"Bian","year":"2015","journal-title":"Soil Dyn. Earthq. Eng."},{"key":"ref_23","first-page":"82","article-title":"Analysis on Vertical Vibration Characteristics of Double-block Ballastless Roadbed with Cracks","volume":"34","author":"Zhu","year":"2012","journal-title":"J. China Railw. Soc."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"11472","DOI":"10.1364\/OE.390772","article-title":"Demonstration of multi-channel fiber optic interrogator based on time-division locking technique in subway intrusion detection","volume":"28","author":"Huang","year":"2020","journal-title":"Opt. Express"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.soildyn.2015.02.002","article-title":"Experimental investigation into ground vibrations induced by very high speed trains on a non-ballasted track","volume":"72","author":"Zhai","year":"2015","journal-title":"Soil Dyn. Earthq. Eng."},{"key":"ref_26","first-page":"54","article-title":"Research on Crack Generation Mechanism and Repair Scheme of II-type Plate Ballastless Track Structure","volume":"25","author":"JinChen","year":"2012","journal-title":"J. Shijiangzhuang Tiedao Univ."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1109\/41.847906","article-title":"Wavelet packet feature extraction for vibration monitoring","volume":"47","author":"Yen","year":"2000","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_28","first-page":"1671","article-title":"Ten Lectures on Wavelets","volume":"6","author":"Daubechies","year":"1998","journal-title":"Comput. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"G\u00f3mez, M.J., Castej\u00f3n, C., Corral, E., and Garc\u00eda-Prada, J.C. (2020). Railway Axle Condition Monitoring Technique Based on Wavelet Packet Transform Features and Support Vector Machines. Sensors, 20.","DOI":"10.3390\/s20123575"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Goswami, J., and Chan, A. (2011). Fundamentals of Wavelets: Theory, Algorithms, and Applications, Wiley Publishing. [2nd ed.].","DOI":"10.1002\/9780470926994"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/j.jsv.2008.05.029","article-title":"Dominant frequencies of train-induced vibrations","volume":"319","author":"Ju","year":"2009","journal-title":"J. Sound Vibr."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1016\/j.jsv.2005.08.059","article-title":"Ground vibration due to railway traffic\u2014The calculation of the effects of moving static loads and their experimental verification","volume":"293","author":"Auersch","year":"2006","journal-title":"J. Sound Vibr."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1080\/23248378.2014.897791","article-title":"Railway-induced ground vibrations\u2014A review of vehicle effects","volume":"2","author":"Kouroussis","year":"2014","journal-title":"Int. J. Rail Transp."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.mechmachtheory.2015.09.009","article-title":"Crack detection in rotating shafts based on 3\u00d7 energy: Analytical and experimental analyses","volume":"96","year":"2016","journal-title":"Mech. Mach. Theory"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1016\/j.engfailanal.2014.10.018","article-title":"New stopping criteria for crack detection during fatigue tests of railway axles","volume":"56","year":"2015","journal-title":"Eng. Fail. Anal."},{"key":"ref_36","first-page":"9","article-title":"Research on the Slab Temperature Warping of the Unit Slab Track System","volume":"31","author":"Wang","year":"2010","journal-title":"China Railw. Sci."},{"key":"ref_37","unstructured":"Zhu, X. (2012). Analysis of the Temperature Effect of CRTS II Track Slab and Its Influence on Train Operation Safety. [Master\u2019s Thesis, Southwest Jiaotong University]."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/3\/787\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:15:00Z","timestamp":1760159700000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/3\/787"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,25]]},"references-count":37,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2021,2]]}},"alternative-id":["s21030787"],"URL":"https:\/\/doi.org\/10.3390\/s21030787","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,25]]}}}