{"id":6560,"date":"2026-06-20T22:40:20","date_gmt":"2026-06-20T14:40:20","guid":{"rendered":"\/jase\/?post_type=tkuisotope&#038;p=6560"},"modified":"2026-07-27T13:57:10","modified_gmt":"2026-07-27T05:57:10","slug":"noise-radiation-analysis-of-box-shaped-rail-bridges-considering-multi-span-effects","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=noise-radiation-analysis-of-box-shaped-rail-bridges-considering-multi-span-effects","title":{"rendered":"Noise-radiation Analysis of Box-shaped Rail Bridges Considering Multi-span Effects"},"content":{"rendered":"\n<div class=\"wp-block-tkuwpbs5-bs5-row row article-info\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=6505\" data-type=\"page\" data-id=\"807\">2019<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder-open\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=6551\" data-type=\"page\" data-id=\"4630\">Volume 22, Issue 3<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-6 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div dv_publish\" data-aos=\"normal\"><div class=\"wp-block-post-date\"><time datetime=\"2026-06-20T22:40:20+08:00\">2026-06-20<\/time><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-row row\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-5 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div au-ol\" data-aos=\"normal\">\n<p>L. Y. Liu<sup>1<\/sup>, S. Y. Peng<sup>1<\/sup>, J. D. Yau<sup>2<\/sup><a href=\"mailto:jdyau@mail.tku.edu.tw\"><i class=\"fa fa-envelope\"><\/i><\/a>, Q. M. Liu<sup>1<\/sup> and R. Xi<sup>1<\/sup><\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>1<\/sup>Engineering Research Center of Railway Environment Vibration and Noise, Ministry of Education, East China Jiaotong University, Nanchang 330013, P.R. China <\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>2<\/sup>Department of Architecture, Tamkang University, New Taipei City, Taiwan 251, R.O.C.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div\" style=\"margin-top:var(--wp--preset--spacing--40)\" data-aos=\"normal\">\n<p>Received:\u00a0September 25, 2018<br>Accepted:\u00a0May 30, 2019<br>Publication Date:\u00a0June 20, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start clk=\u5716\u7247\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/06\/22_3_08.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center img_caption\">Modal analysis of a simply supported box girder. 1st bending mode (f<sub>1<\/sub> = 6.07 Hz); (b) 2nd bending mode (f<sub>2<\/sub> = 15.92 Hz); (c) 3rd bending mode (f<sub>3<\/sub> = 19.85 Hz).<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-small-font-size\"><i class=\"fab fa-creative-commons\"><\/i>&nbsp;<strong>Copyright&nbsp;<\/strong>The Author(s). This is an open access article distributed under the terms of the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\">Creative Commons Attribution&nbsp;License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n<p>Download Citation:&nbsp; <a href=\"\/jase\/wp-content\/uploads\/2026\/06\/V223.0008.bib\" data-type=\"attachment\" data-id=\"8199\" target=\"_blank\" rel=\"noreferrer noopener\">BibTeX <\/a>| <a href=\"http:\/\/dx.doi.org\/10.6180\/jase.201909_22(3).0008\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/dx.doi.org\/10.6180\/jase.201909_22(3).0008<\/a>&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/06\/08-10718_0238_V22i3.pdf\" data-type=\"attachment\" data-id=\"8212\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/p>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>Low-frequency structure-borne noise radiation from train-induced vibration of railway bridges is of concern to assess environmental impacts induced by urban metro system. To carry out the bridge-radiated noise analysis in assessing environmental impacts, the bridge vibration is regarded as an acoustic source of noise radiation so that the finite element (FE) bridge model combined with the acoustic boundary element (BE) method of spatial noise radiation is adopted in performing acoustical computations. For verification, an in-situ experimental noise measurement of rail box-shaped bridge on the selected metro line of Nanchang Metro is used to evaluate the feasibility of the present hybrid FE-BEapproach. In addition, the method of panel acoustic contribution analysis is proposed to assess the noise levels radiated from a single\/multi-span box-shaped bridges, respectively. With the present investigations, the multi-span bridges may result in larger structure-borne radiated sound pressure levels at far-fields than a single-span. Such a multi-span effect on bridge-radiated noise should be accounted for environmental noise evaluation along urban metro lines.<\/p>\n\n\n\n<p><em>Keywords:\u00a0Acoustical Boundary Element Method, Box Girder, Finite Element Modeling, Panel Acoustic Contribution Analysis, Structure-borne Noise<\/em><\/p>\n\n\n\n<div style=\"height:2rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div ref_ol\" data-aos=\"normal\">\n<ol>\n<li>[1] Liu, J. H., and S. L. Lian (2002) Vibration and noise of the urban rail transit, Journal of Traffic and Transportation Engineering 18(1), 29\u201333. doi: 10.3321\/j.issn:1671-1637.2002.01.006<\/li>\n<li>[2] Gao, F., H. Xia, and N. An (2010) Analysis and experimental study on the radiation noise of the elevated structure of Beijing metro line 5, China Railway Science 31(5), 134\u2013139. doi: 10.1109\/MACE.2010.5536422<\/li>\n<li>[<span class=\"citation-11638 citation-11639 citation-end-11639\">3] Gu, X. (2004) Environmental noise and vibration standard for mass rail transit in China and the countermeasures against vibration and noise, Modern Urban Rail Transit 1, 42\u201345. doi: 10.3969\/j.issn.1672-7533<\/span><span class=\"citation-11638 citation-end-11638\">.2004.01.013<\/span><\/li>\n<li><span class=\"citation-11637 citation-end-11637\">[4]<\/span> Zhu, Y., G. Y. Chen, and C. M. Lin (2005) Numerical prediction and analysis of radiated noise from viaduct of city, Noise and Vibration Control 39(3), 37\u201341. doi: 10.3969\/j.issn.1006-1355.2005.03.011<\/li>\n<li>[5] Ngai, K. W., and C. F. Ng (2002) Structure-borne noise and vibration of concrete box structure and rail viaduct, Journal of Sound and Vibration 255(2), 281\u2013297. doi: 10.1006\/jsvi.2001.4155<\/li>\n<li>[6] Li, J., N. Zhang, and L. B. Zhang (2012) Numerical simulation of the vibration and structure-borne noise of the viaduct, Environmental Engineering 30(51), 156\u2013160. doi: 10.13205\/j.hjgc.2012.s1.008<\/li>\n<li>[7] Zhang, X., X. Z. Li, and W. M. Liu (2012) Sound radiation characteristics of 32 m simply supported concrete box girder applied in high-speed railway, Journal of Railway 34(7), 96\u2013102. doi: 10.3969\/j.issn.10018360.2012.07.015<\/li>\n<li>[8] Li, Q., and D. J. Wu (2013) Numerical simulation and field tests of concrete bridge-borne low-frequency noises, Journal of Railway 35(3), 89\u201394. doi: 10.3969\/j.issn.1001-8360.2013.03.014<\/li>\n<li>[9] Schulte-Werning, B., M. Beier, K. G. Degen, and D. Stiebel (2006) Research on noise and vibration reduction at DB to improve the environmental friendliness of railway Traffic, Journal of Sound and Vibration 293, 1058\u20131069. doi: 10.1016\/j.jsv.2005.08.065<\/li>\n<li><span class=\"citation-11636 citation-end-11636\">[10] Zhang, X., X. Li, H. Hao, D. Wang, and Y. Li (2016) A case study of interior low-frequency noise from box-shaped bridge girders induced by running trains: its mechanism, prediction and countermeasures, Journal of Sound and Vib<\/span>ration 367, 129\u2013144. doi: 10.1016\/j.jsv.2016.01.004<\/li>\n<li>[11] Crocker, M. J. (2007) Theory of sound\u2014predictions and measurement, Handbook of Noise and Vibration Control, Crocker, Ed., John Wiley &amp; Sons, Inc., New York.<\/li>\n<li>[12] Yang, Y. B., J. D. Yau, and Y. S. Wu (2004) Vehicle Bridge Interaction Dynamics, World Scientific, Singapore.<\/li>\n<li>[<span class=\"citation-11634 citation-11635 citation-end-11635\">13] Zhang, X., X. Z. Li, Q. M. Liu, J. F. Wu, and Y. D. Li (2013) Structure-borne noise of concrete box-girders and its influence factors, Journal of Southwest Jiaotong University 48(3), 409\u2013414. doi: 10.3969\/j.issn.0258-2724<\/span><span class=\"citation-11634 citation-end-11634\">.2013.03.003<\/span><\/li>\n<li><span class=\"citation-11633\">[<\/span><span class=\"citation-11631 citation-11632 citation-11633 citation-end-11633\">14] <\/span><span class=\"citation-11631 citation-11632 citation-end-11632\">Jiao, Y. H., X. Kong, and Y. L. Cai (2012) Vibration noise calculation and testing analysis of large vertical planetary transmission gear box based on FEM and BEM, Journal of Vibration and Shock 31(4), 123\u2013127. doi: 10.3969\/j.issn.1000<\/span><span class=\"citation-11631 citation-end-11631\">-3835.2012.<\/span>04.024<\/li>\n<li>[<span class=\"citation-11628 citation-11629 citation-11630 citation-end-11630\">15] Liu, L., Q. H. Fu, W. J. Shao, and J. Y. Li (2015) Application of panel acoustic contribution theory in study of noise from simply-supported box girder in high speed railway, Journal of Railway Science and Engineering 12(4), 743\u2013748. doi<\/span><span class=\"citation-11628 citation-11629 citation-end-11629\">: 10.3969\/j.issn.1672-7029.20<\/span><span class=\"citation-11628 citation-end-11628\">15.0<\/span>4.005<\/li>\n<\/ol>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[1284,6,1287],"tags":[1336],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":"&nbsp;Copyright&nbsp;The Author(s). This is an open access article distributed under the terms of the&nbsp;Creative Commons Attribution&nbsp;License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:&nbsp; BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.201909_22(3).0008&nbsp;&nbsp; Download PDF Low-frequency structure-borne noise radiation from train-induced vibration of railway bridges is&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/6560"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6560"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6560"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6560"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}