A preliminary analytical screening framework for under-slab resilient mats in urban railway slab tracks
Email:
tuyettrinh@utc.edu.vn
Từ khóa:
slab track, under-slab resilient mat, analytical screening framework, vibration isolation, force transmissibility, dynamic stiffness, static stiffness, urban railway
Tóm tắt
Under-slab resilient mats, referred to here as slab track mats (STMs), can reduce the dynamic force transmitted beneath a concrete track slab. This paper presents a preliminary analytical screening framework that distinguishes dynamic from static stiffness through α = kd/ks and equivalent participating mass from total statically supported mass through β = M/me. A harmonically forced single-degree-of-freedom model gives closed-form relationships among a prescribed force-isolation onset frequency, admissible dynamic stiffness and static compression. The illustrative input set is tied to an idealized concrete slab segment and a controlled stiffness-and-damping sensitivity sweep rather than to product-specific properties. For me = 5,000 kg, dynamic stiffnesses of 5–40 MN/m give natural frequencies of 5.03–14.24 Hz and force-isolation onset frequencies of 7.12–20.13 Hz. The results show that reducing mat stiffness does not necessarily improve performance because force isolation above the threshold may be accompanied by amplification near resonance. The calculated force transmissibility T is the transmitted-to-applied force ratio at the idealized mat–support interface; T < 1 identifies only the force-isolation region of this interface model and is neither insertion loss nor evidence of compliance at a receiving location. The framework provides an early consistency check for defining material-test targets and parameters for subsequent vehicle–track–structure analysis.Tài liệu tham khảo
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[2]. A. Quagliata, M. A. Shumway, E. Boeker, C. Roof, L. Meister, H. L. Singleton, Transit Noise and Vibration Impact Assessment Manual, FTA Report No. 0123, Federal Transit Admin-istration, Washington, DC, September 2018. https://doi.org/10.21949/1503619
[3]. D. J. Thompson, Railway Noise and Vibration: Mechanisms, Modelling and Means of Con-trol, second ed., Elsevier, 2024.
[4]. W. Zhai, Vehicle-Track Coupled Dynamics: Theory and Applications, Springer Singapore, 2020. https://doi.org/10.1007/978-981-32-9283-3
[5]. European Committee for Standardization, EN 17682:2022, Railway applications - Infra-structure - Resilient element for floating slab system, CEN, Brussels, 2022.
[6]. Z. Zhao, K. Wei, W. Ding, F. Cheng, P. Wang, Evaluation method of the vibration reduction effect considering the real load- and frequency-dependent stiffness of slab-track mats, Materi-als, 14 (2021) 452. https://doi.org/10.3390/ma14020452
[7]. C. Kraśkiewicz, C. Lipko, M. Płudowska, W. Oleksiewicz, A. Zbiciak, Static and dynamic characteristics of resilient mats for vibration isolation of railway tracks, Procedia Engineering, 153 (2016) 317-324. https://doi.org/10.1016/j.proeng.2016.08.122
[8]. X. Huang, Z. Zeng, Z. Li, X. Luo, H. Yin, W. Wang, Experimental study on vibration char-acteristics of the floating slab with under-slab polyurethane mats considering fatigue loading ef-fect, Engineering Structures, 276 (2023) 115322. https://doi.org/10.1016/j.engstruct.2022.115322
[9]. C. Kraśkiewicz, P. Majnert, A. Al Sabouni-Zawadzka, P. Mossakowski, M. Zarzycki, Ex-perimental evaluation of under slab mats (USMs) made from end-of-life tires for ballastless tram track applications, Materials, 17 (2024) 5388. https://doi.org/10.3390/ma17215388
[10]. C. K. Hui, C. F. Ng, The effects of floating slab bending resonances on the vibration isola-tion of rail viaduct, Applied Acoustics, 70 (2009) 830-844. https://doi.org/10.1016/j.apacoust.2008.09.018
[11]. C. M. Kuo, C. H. Huang, Y. Y. Chen, Vibration characteristics of floating slab track, Jour-nal of Sound and Vibration, 317 (2008) 1017-1034. https://doi.org/10.1016/j.jsv.2008.03.051
[12]. S. Ouakka, O. Verlinden, G. Kouroussis, Railway ground vibration and mitigation measures: benchmarking of best practices, Railway Engineering Science, 30 (2022) 1-22. https://doi.org/10.1007/s40534-021-00264-9
[13]. Z. Xu, X. Sun, C. Qiao, T. Wang, M. Ma, Study on modelling method of resilient mat used under floating slab track, Materials, 16 (2023) 3078. https://doi.org/10.3390/ma16083078
[14]. P. Reumers, G. Degrande, G. Lombaert, D. J. Thompson, E. Ntotsios, P. Bouvet, B. Nélain, A. Nuber, Integration of a hybrid vibration prediction model for railways into noise mapping software: methodology, assumptions and demonstration, Railway Engineering Science, 33 (2025) 1-26. https://doi.org/10.1007/s40534-024-00346-4
[15]. A. K. Chopra, Dynamics of Structures: Theory and Applications to Earthquake Engineer-ing, fifth ed., Pearson, Hoboken, NJ, 2017.
[16]. S. S. Rao, Mechanical Vibrations in SI Units, sixth ed., Pearson Education Limited, Har-low, 2018.
[17]. Japan International Cooperation Agency, The Preparatory Survey on Ho Chi Minh City Urban Railway Construction Project (Ben Thanh-Mien Tay Terminal (Line 3A Phase 1)), Final Report (Summary), 2018. https://openjicareport.jica.go.jp/pdf/12305074.pdf
[18]. Ministry of Agriculture and Environment of Vietnam, Circular No. 01/2025/TT-BNNMT dated 15 May 2025 promulgating three national technical regulations on ambient environmental quality, including QCVN 27:2025/BNNMT, National Technical Regulation on Vibration, Hanoi, 2025. https://mae.gov.vn/Pages/chitietvanban.aspx?ItemID=567
[19]. Nguyen Quang Dung, Research on ground vibration and mitigation due to metro operation, Doctoral dissertation, Military Technical Academy, Hanoi, 2013. (in Vietnamese).
[20]. Le Van Vu, Nguyen Huu Quyet, Tran Quang Minh, Nguyen Thi Cam Nhung, Creating a coupled train-rail dynamic model based on the experimental dynamic response of rail structures on urban railways, Transport and Communications Science Journal, 74(9) (2023) 1075-1087. https://doi.org/10.47869/tcsj.74.9.5 . (in Vietnamese).
[21]. C. Kraśkiewicz, A. Zbiciak, W. Oleksiewicz, A. Piotrowski, The influence of selected static and dynamic parameters of resilient mats on vibration reduction of railway tracks, MATEC Web of Conferences, 219 (2018) 05002. https://doi.org/10.1051/matecconf/201821905002
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Nhận bài
02/07/2026
Nhận bài sửa
25/08/2026
Chấp nhận đăng
07/09/2026
Xuất bản
15/09/2026
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Kiểu trích dẫn
Nguyen Thi Tuyet, T., & Pham Van, K. (1789405200). A preliminary analytical screening framework for under-slab resilient mats in urban railway slab tracks. Tạp Chí Khoa Học Giao Thông Vận Tải, 77(7), 885-898. https://doi.org/10.47869/tcsj.77.7.1
