{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T21:56:28Z","timestamp":1778018188057,"version":"3.51.4"},"reference-count":15,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2012,7,25]],"date-time":"2012-07-25T00:00:00Z","timestamp":1343174400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A novel three-point method using a grating eddy current absolute position sensor (GECS) for bridge deflection estimation is proposed in this paper. Real spatial positions of the measuring points along the span axis are directly used as relative reference points of each other rather than using any other auxiliary static reference points for measuring devices in a conventional method. Every three adjacent measuring points are defined as a measuring unit and a straight connecting bar with a GECS fixed on the center section of it links the two endpoints. In each measuring unit, the displacement of the mid-measuring point relative to the connecting bar measured by the GECS is defined as the relative deflection. Absolute deflections of each measuring point can be calculated from the relative deflections of all the measuring units directly without any correcting approaches. Principles of the three-point method and displacement measurement of the GECS are introduced in detail. Both static and dynamic experiments have been carried out on a simple beam bridge model, which demonstrate that the three-point deflection estimation method using the GECS is effective and offers a reliable way for bridge deflection estimation, especially for long-term monitoring.<\/jats:p>","DOI":"10.3390\/s120809987","type":"journal-article","created":{"date-parts":[[2012,7,25]],"date-time":"2012-07-25T11:40:38Z","timestamp":1343216438000},"page":"9987-10000","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Experimental Estimating Deflection of a Simple Beam Bridge Model Using Grating Eddy Current Sensors"],"prefix":"10.3390","volume":"12","author":[{"given":"Chunfeng","family":"L\u00fc","sequence":"first","affiliation":[{"name":"Department of Instrument Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiwen","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Instrument Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongjie","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Instrument Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Instrument Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2012,7,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1007\/BF02428097","article-title":"Estimating deflection of a simple beam model using fiber optic Bragg-grating sensors","volume":"44","author":"Kim","year":"2004","journal-title":"Exp. Mech."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1016\/j.jsv.2007.04.037","article-title":"Estimation of dynamic structural displacements using fiber Bragg grating strain sensors","volume":"305","author":"Kang","year":"2007","journal-title":"J. Sound. Vib."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/j.ndteint.2004.06.012","article-title":"Comparison of laser Doppler vibrometer with contact sensors for monitoring bridge deflection and vibration","volume":"38","author":"Nassif","year":"2005","journal-title":"NDT E Int."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1016\/j.ndteint.2005.12.003","article-title":"A vision-based system for remote sensing of bridge displacement","volume":"39","author":"Lee","year":"2006","journal-title":"NDT E Int."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1111\/j.1747-1567.2006.00132.x","article-title":"Bridge deflection measurement using digital image correlation","volume":"31","author":"Yoneyama","year":"2007","journal-title":"Exp. Tech."},{"key":"ref_6","unstructured":"Whiteman, T., and Lichti, D.D. (2002, January 9\u201312). Measurement of deflections in concrete beams by close-range digital photogrammetry."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1061\/(ASCE)1084-0702(2003)8:4(212)","article-title":"Noncontact photogrammetric measurement of vertical bridge deflection","volume":"8","author":"White","year":"2003","journal-title":"J. Bridge Eng."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1016\/S0267-7261(00)00094-4","article-title":"GPS in dynamic monitoring of long-period structures","volume":"20","year":"2000","journal-title":"Soil. Dyn. Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1061\/(ASCE)0733-9445(2000)126:12(1413)","article-title":"GPS measurement of wind-induced suspension bridge girder displacements","volume":"126","author":"Nakamura","year":"2000","journal-title":"J. Struct. Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"564","DOI":"10.1061\/(ASCE)1084-0702(2005)10:5(564)","article-title":"Using inclinometers to measure bridge deflection","volume":"10","author":"Hou","year":"2005","journal-title":"J. Bridge Eng."},{"key":"ref_11","unstructured":"Burdet, O. (1998, January 13\u201316). Automatic deflection and temperature monitoring of a balanced cantilever concrete bridge. Calgary, AB, Canada."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2525","DOI":"10.3390\/s110302525","article-title":"Non-destructive techniques based on eddy current testing","volume":"11","author":"Gil","year":"2011","journal-title":"Sensors"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"8696","DOI":"10.3390\/s100908696","article-title":"Inverse problem in nondestructive testing using arrayed eddy current sensors","volume":"10","author":"Zaoui","year":"2010","journal-title":"Sensors"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1631\/jzus.A0820358","article-title":"Characteristics analysis and parameters optimization for the grating eddy current displacement sensor","volume":"10","author":"Qi","year":"2009","journal-title":"J. Zhejiang Univ. Sci. A"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3678","DOI":"10.1109\/TIM.2009.2019310","article-title":"Research on novel grating eddy-current absolute-position sensor","volume":"58","author":"Liu","year":"2009","journal-title":"IEEE Trans. Instrum. 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