{"id":839,"date":"2026-03-08T00:52:56","date_gmt":"2026-03-07T16:52:56","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&#038;p=839"},"modified":"2026-03-18T14:31:55","modified_gmt":"2026-03-18T06:31:55","slug":"optimal-passive-aerodynamic-control-design-for-mitigating-flutter-in-long-span-bridges","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=optimal-passive-aerodynamic-control-design-for-mitigating-flutter-in-long-span-bridges","title":{"rendered":"Optimal Passive Aerodynamic Control Design for Mitigating Flutter in Long-Span Bridges"},"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=807\" data-type=\"page\" data-id=\"807\">2026<\/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=817\" data-type=\"page\" data-id=\"817\">Volume 30<\/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=\"2026-03-08T00:52:56+08:00\">2026-03-08<\/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>Hong-Son Nguyen<sup>1<\/sup>, Van-Quyen Nguyen<sup>2<\/sup>, Ngoc-An Tran<sup>3<\/sup>, Phan-Anh Nguyen<sup>3<\/sup><a href=\"mailto: phananh.ctt@vimaru.edu.vn\"><i class=\"fa fa-envelope\"><\/i><\/a>, and Ngoc-Dung Bui<sup>4<\/sup><\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>1<\/sup>HaUI Institute of Technology, Hanoi University of Industry, Hanoi, Vietnam<\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>2<\/sup>Department of Mechatronics, School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam<\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>3<\/sup>Faculty of Civil Engineering, Vietnam Maritime University, Haiphong City, Vietnam<\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>4<\/sup>Faculty of Technology and Engineering, Hai Phong University, Haiphong City, Vietnam<\/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:\u00a0July 29, 2025<br>Accepted:\u00a0November 6, 2025<br>Publication Date:\u00a0March 8, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/03\/30_009.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center\">Hinged attachment of a wing with torsional spring on one side of the bridge deck.<\/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:\u00a0 <a rel=\"noreferrer noopener\" href=\"\/jase\/wp-content\/uploads\/2026\/01\/jase-202509-28-09-0006.pdf\" data-type=\"link\" data-id=\"\/jase\/wp-content\/uploads\/2026\/01\/jase-202509-28-09-0006.pdf\" target=\"_blank\">RIS<\/a> | <a rel=\"noreferrer noopener\" href=\"\/jase\/wp-content\/uploads\/2026\/01\/jase-202509-28-09-0006.pdf\" data-type=\"link\" data-id=\"\/jase\/wp-content\/uploads\/2026\/01\/jase-202509-28-09-0006.pdf\" target=\"_blank\">BibTeX <\/a>| <a href=\"http:\/\/dx.doi.org\/10.6180\/jase.202607_30.009\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/dx.doi.org\/10.6180\/jase.202607_30.009<\/a>\u00a0\u00a0<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/03\/009_2025_0963.pdf\" data-type=\"attachment\" data-id=\"895\" 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>A wide range of studies have focused on improving the aerodynamic stability of long-span bridges by raising their critical flutter wind speed. There are two main approaches to enhancing aerodynamic stability: mechanical and aerodynamic methods. The aerodynamic approach suppresses vibrations not by dissipating energy, but by generating additional aerodynamic forces induced through the installation of thin plates. However, the optimization process in the case of passive control is highly complex, as it involves not only the forces generated by wind interaction with the deck structure but also those acting on attached thin plates. This paper proposes an optimization algorithm that simplifies the determination of optimal parameters for wings used in passive aerodynamic control. Based on the complex eigenvalue method, the optimization process is implemented using the Genetic Algorithm (GA) function available in MATLAB. In addition, this paper also reviews several previously proposed passive aerodynamic control strategies and, based on that, introduces a novel configuration: a wing mounted to one side of the deck using a hinged connection and a torsional spring. Numerical simulation results demonstrate that the newly proposed configuration outperforms previous approaches in all investigated scenarios.<\/p>\n\n\n\n<p><em>Keywords:\u00a0Flutter; bridge deck; passive aerodynamic control; complex eigenvalue method; Genetic Algorithm<\/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] H.-L. Bui and N.-A. Tran, (2022) \u201cMulti-objective optimal design of TMDs for increasing critical flutter wind speed of bridges&#8221; Journal of Wind Engineering and Industrial Aerodynamics 225: 104992. DOI: 10.1016\/j.jweia.2022.104992.<\/li>\n<li>[2] N. Van Khang, A. Seils, T. N. An, N. P. Dien, and N. T. Nghia, (2016) \u201cAn improvement of the step-by-step analysis method for study on passive flutter control of a bridge deck&#8221; Archive of Applied Mechanics 86: 557\u2013573. DOI: 10.1007\/s00419-015-1046-z.<\/li>\n<li>[3] M. Gu, C. Chang, W. Wu, and H. Xiang, (1998) \u201cIncrease of critical flutter wind speed of long-span bridges using tuned mass dampers&#8221; Journal of Wind Engineering and Industrial Aerodynamics 73(2): 111\u2013123. DOI: 10.1016\/S0167-6105(97)00282-1.<\/li>\n<li>[4] S.-D. Kwon and K.-S. Park, (2004) \u201cSuppression of bridge flutter using tuned mass dampers based on robust performance design&#8221; Journal of Wind Engineering and Industrial Aerodynamics 92(11): 919\u2013934. DOI: 10.1016\/j.jweia.2004.05.006.<\/li>\n<li>[5] F. Ubertini, (2010) \u201cPrevention of suspension bridge flutter using multiple tuned mass dampers&#8221; Wind &amp; structures 13(3): 235\u2013256. DOI: 10.12989\/was.2010.13.3.235.<\/li>\n<li>[6] F. Ubertini, G. Comanducci, and S. Laflamme, (2017) \u201cA parametric study on reliability-based tuned-mass damper design against bridge flutter&#8221; Journal of Vibration and Control 23(9): 1518\u20131534. DOI: 10.1177\/1077546315595304.<\/li>\n<li>[7] S. Xue, J. Ko, and Y. L. Xu, (2000) \u201cTuned liquid column damper for suppressing pitching motion of structures&#8221; Engineering Structures 22(11): 1538\u20131551. DOI: 10.1016\/S0141-0296(99)00099-1.<\/li>\n<li>[8] S. Xue, J. Ko, and Y. L. Xu, (2000) \u201cOptimum parameters of tuned liquid column damper for suppressing pitching vibration of an undamped structure&#8221; Journal of sound and vibration 235(4): 639\u2013653. DOI: 10.1006\/jsvi.2000.2947.<\/li>\n<li>[9] J.-C. Wu, Y.-P. Wang, C.-L. Lee, P.-H. Liao, and Y.-H. Chen, (2008) \u201cWind-induced interaction of a nonuniform tuned liquid column damper and a structure in pitching motion&#8221; Engineering Structures 30(12): 3555\u20133565. DOI: 10.1016\/j.engstruct.2008.05.029.<\/li>\n<li>[10] D. C. d. Arco and \u00c1. C. Aparicio, (1999) \u201cImproving suspension bridge wind stability with aerodynamic appendages&#8221; Journal of Structural Engineering 125(12): 1367\u20131375. DOI: 10.1061\/(ASCE)0733-9445(1999)125:12(1367).<\/li>\n<li>[11] P. Omenzetter, K. Wilde, and Y. Fujino, (2000) \u201cSuppression of wind-induced instabilities of a long span bridge by a passive deck\u2013flaps control system: Part I: Formulation&#8221; Journal of Wind Engineering and Industrial Aerodynamics 87(1): 61\u201379. DOI: 10.1016\/S0167-6105(00)00016-7.<\/li>\n<li>[12] P. Omenzetter, K. Wilde, and Y. Fujino, (2000) \u201cSuppression of wind-induced instabilities of a long span bridge by a passive deck-flaps control system: Part II: Numerical simulations&#8221; Journal of Wind Engineering and Industrial Aerodynamics 87(1): 81\u201391. DOI: 10.1016\/S0167-6105(00)00017-9.<\/li>\n<li>[13] P. Omenzetter, K. Wilde, and Y. Fujino, (2002) \u201cStudy of passive deck-flaps flutter control system on full bridge model. I: theory&#8221; Journal of Engineering Mechanics 128(3): 264\u2013279. DOI: 10.1061\/(ASCE)0733-9399(2002)128:3(264).<\/li>\n<li>[14] P. Omenzetter, K. Wilde, and Y. Fujino, (2002) \u201cStudy of passive deck-flaps flutter control system on full bridge model. II: Results&#8221; Journal of engineering mechanics 128(3): 280\u2013286. DOI: 10.1061\/(ASCE)0733-9399(2002)128:3(280).<\/li>\n<li>[15] K. Wilde, Y. Fujino, and T. Kawakami, (1999) \u201cAnalytical and experimental study on passive aerodynamic control of flutter of a bridge deck&#8221; Journal of Wind Engineering and Industrial Aerodynamics 80(1-2): 105\u2013119. DOI: 10.1016\/S0167-6105(98)00196-2.<\/li>\n<li>[16] T. N. An and N. V. Khang, (2015) \u201cIncrease of critical flutter wind speed of long-span bridges using passive separate control wings&#8221; 16th Asia Pacific Vibration Conference, Vietnam: 649\u2013653.<\/li>\n<li>[17] U. Starossek and H. Aslan. \u201cPassive control of bridge deck flutter using tuned mass dampers and control surfaces\u201d. In: 7th European Conference on Structural Dynamics, 7\u20139.<\/li>\n<li>[18] U. Starossek, (2016) \u201cEccentric-wing flutter stabilizer for long-span bridges&#8221; Bridge structures 12(1-2): 3\u20139. DOI: 10.3233\/BRS-160098.<\/li>\n<li>[19] U. Starossek, T. Ferenczi, and J. Priebe, (2018) \u201cEccentric-wing flutter stabilizer for bridges\u2013analysis, tests, design, and costs&#8221; Engineering structures 172: 1073\u20131080. DOI: 10.1016\/j.engstruct.2018.06.056.<\/li>\n<li>[20] U. Starossek and R. T. Starossek, (2021) \u201cParametric flutter analysis of bridges stabilized with eccentric wings&#8221; Journal of wind engineering and industrial aerodynamics 211: 104566. DOI: 10.1016\/j.jweia.2021.104566.<\/li>\n<li>[21] U. Starossek and R. T. Starossek, (2021) \u201cFlutter analysis methods for bridges stabilized with eccentric wings&#8221; Journal of wind engineering and industrial aerodynamics 219: 104804. DOI: 10.1016\/j.jweia.2021.104804.<\/li>\n<li>[22] S. Phongkumsing, K. Wilde, and Y. Fujino, (2001) \u201cAnalytical study on flutter suppression by eccentric mass method on FEM model of long-span suspension bridge&#8221; Journal of Wind Engineering and Industrial Aerodynamics 89(6): 515\u2013534. DOI: 10.1016\/S0167-6105(00)00077-5.<\/li>\n<li>[23] D. J. Limebeer, J. M. R. Graham, and X. Zhao, (2011) \u201cBuffet suppression in long-span suspension bridges&#8221; Annual Reviews in Control 35(2): 235\u2013246. DOI: 10.1016\/j.arcontrol.2011.10.012.<\/li>\n<li>[24] E. Simiu and R. H. Scanlan. Wind effects on structures: fundamentals and applications to design. 688. John Wiley New York, 1996.<\/li>\n<li>[25] C. Dyrbye and S. O. Hansen. Wind loads on structures. Wiley, 1996.<\/li>\n<li>[26] H. Kobayashi and H. Nagaoka, (1992) \u201cActive control of flutter of a suspension bridge&#8221; Journal of Wind Engineering and Industrial Aerodynamics 41(1-3): 143\u2013151. DOI: 10.1016\/0167-6105(92)90402-V.<\/li>\n<li>[27] Experimentelle Br\u00fcckenprofile. Accessed on February 22, 2021. Hamburg University of Technology. URL: https:\/\/www.tuhh.de\/sdb\/brueckenprofile\/experimental\/experimentelle.html (visited on 02\/22\/2021).<\/li>\n<li>[28] Y. Fung. An introduction to the theory of aeroelasticity. Courier Dover Publications, 2008.<\/li>\n<li>[29] R. L. Bisplinghoff, H. Ashley, and R. L. Halfman. Aeroelasticity. Courier Corporation, 2013.<\/li>\n<li>[30] U. Starossek. Br\u00fcckendynamik: Winderregte Schwingungen von Seilbr\u00fccken. Springer-Verlag, 2013.<\/li>\n<li>[31] U. Starossek, H. Aslan, and L. Thiesemann, (2009) \u201cExperimental and numerical identification of flutter derivatives for nine bridge deck sections&#8221; Wind and Structures 12(6): 519. DOI: 10.12989\/was.2009.12.6.519.<\/li>\n<li>[32] S. S. Rao. Engineering Optimization Theory and Practice 4th Edition. John Wiley &amp; Sons, 2009.<\/li>\n<li>[33] R. Fletcher. Practical methods of optimization. John Wiley &amp; Sons, 2000.<\/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":[12,16,6],"tags":[26],"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:\u00a0 RIS | BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202607_30.009\u00a0\u00a0 Download PDF A wide range of studies have focused on improving&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/839"}],"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=839"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=839"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}