Abstract
To delineate the mechanics behavior of semi-rigid rockfall protection barriers, the energy dissipation mechanism of the system was investigated based on energy calculation theory and mechanics analysis, and an energy-based design method was introduced for the barrier. A semi-rigid rockfall protection barrier with a normal energy dissipating capacity of 100 kJ was then designed, and its efficiency was confirmed by a full-scale test. Deformation characteristics and force mechanisms of the system were studied to reveal the two-stage working characteristics of the system. Upon building a numerical model and validating it by comparing simulated and test results, parametric studies were conducted to investigate the dynamic responses of the barrier subjected to impact loading at different positions. The results showed that the impact location significantly influenced the dynamic behaviors of the barrier, including the maximum impact displacement, the deflection and stress distribution of the posts, and the failure mode. To consider the negative influence of impact positions compared to the standard test defined in EAD 340,059–00-0106, the amplification factors of key indicators were defined and the relevant values were recommended. The amplification factors of the maximum displacement, the maximum peak force of steel wire ropes, the deflection of steel posts at the impact point, and the bottom bending moment of the side posts were 1.23, 2.5, 1.06, and 1.5, respectively.
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References
BS ISO 2048 (2017) Steel wire ropes-requirements. International standard
Caviezel A, Demmel SE, Ringenbach A, Bühler Y, Lu G, Christen M, Dinneen CE, Eberhard LA, Von Rickenbach D, Bartelt P (2019) Reconstruction of four-dimensional rockfall trajectories using remote sensing and rock-based accelerometers and gyroscopes. Earth Surf Dynam 7(1):199–210. https://doi.org/10.5194/esurf-7-199-2019
Descoeudres F, Stoffel SM, Boll A, Gerber WLV (1999) Coping study on disaster resilient infrastructure. United Nations Office for Disaster Risk Reduction. https://www.undrr.org/publication/coping-study-disaster-resilient-infrastructure
EOTA (2013) ETAG 027: Guideline for European technical approval of falling rock protection kits. Belgium, Brussels
EOTA (2018) Falling rock protection kits. European Assessment Document- EAD 340059–00–0106
Escallón JP, Wendeler C, Chatzi E, Bartelt P (2014) Parameter identification of rockfall protection barrier components through an inverse formulation. Eng Struct 77:1–16. https://doi.org/10.1016/j.engstruct.2014.07.019
Fang ZW (2019) National geological disaster Bulletin. China Geological Survey (in Chinese)
Faridmehr I, Tahir MM, Osman MH, Azimi M (2020) Cyclic behaviour of fully-rigid and semi-rigid steel beam-to-column connections. Int J Steel Struct 20(2):365–385. https://doi.org/10.1007/s13296-019-00290-8
Gentilini C, Govoni L, de Miranda S, Gottardi G, Ubertini F (2012) Three-dimensional numerical modelling of falling rock protection barriers. Comput Geotech 44:58–72. https://doi.org/10.1016/j.compgeo.2012.03.011
Geobrugg (2017) Rockfall protection barriers RXE. https://www.geobrugg.com/en/Rockfall-protection-barriers-RXE-7955,7859.html
Gerber W, Boell A (2006) Type-testing of rockfall barriers-comparative results. Int Proceed Interpraevent Cong 189–198
Kwan JSH, Chan SL, Cheuk JCY, Koo RCH (2014) A case study on an open hillside landslide impacting on a flexible rockfall barrier at Jordan Valley. Hong Kong Landslides 11(6):1037–1050. https://doi.org/10.1007/s10346-013-0461-x
Livermore Software Technology Corporation (2007) LS-Dyna keyword user’s manual
Mentani A, Govoni L, Gottardi G, Lamber S, Bourrier F, Toe D (2016) A new approach to evaluate the effectiveness of rockfall barriers. Procedia Engineering 158:398–403. https://doi.org/10.1016/j.proeng.2016.08.462
Miranda SD, Gentilini C, Gottardi G, Govoni L, Mentani A, Ubertini F (2015) Virtual testing of existing semi-rigid rockfall protection barriers. Eng Struct 85:83–94. https://doi.org/10.1016/j.engstruct.2014.12.022
Moon T, Oh J, Mun B (2014) Practical design of rockfall catch fence at urban area from a numerical analysis approach. Eng Geol 172:41–56. https://doi.org/10.1016/j.enggeo.2014.01.004
Muraishi H, Samizo M, Sugiyama T (2005) Development of a flexible low-energy rockfall protection fence. Quarterly Report of RTRI 46(3):161–166. https://doi.org/10.2219/rtriqr.46.161
National Railway Administration of People's Republic of China (2016) Rockfall impact tests method and evaluation of railway slope flexible passive protection product. TB/T 3449–2016 (in Chinese)
Qi X, Pei X, Han R, Yang Y, Meng Q, Yu ZX (2018) Analysis of the effects of a rotating rock on rockfall protection barriers. Geotech Geol Eng 36(5):3255–3267. https://doi.org/10.1007/s10706-018-0535-6
Toe D, Mentani A, Govoni L, Bourrier F, Gottardi G, Lambert S (2018) Introducing meta-models for a more efficient hazard mitigation strategy with rockfall protection barriers. Rock Mech Rock Eng 51(4):1097–1109. https://doi.org/10.1007/s00603-017-1394-9
Tran PV, Maegawa K, Fukada S (2013a) Experiments and dynamic finite element analysis of a wire-rope rockfall protective fence. Rock Mech Rock Eng 46(5):1183–1198. https://doi.org/10.1007/s00603-012-0340-0
Tran PV, Maegawa K, Fukada S (2013b) Prototype of a wire-rope rockfall protective fence developed with three-dimensional numerical modeling. Comput Geotech 54:84–93. https://doi.org/10.1016/j.compgeo.2013.06.008
Volkwein A (2005) Numerical simulation of flexible rockfall protection systems. Computing in Civil Engineering. https://doi.org/10.1061/40794(179)122
Volkwein A, Gerber W, Klette J, Spescha G (2019) Review of approval of flexible rockfall protection systems according to ETAG 027. Geosciences 9(1):1–17. https://doi.org/10.3390/geosciences9010049
Washington State Transportation Center (TRAC) (2005) Analysis and design of wire mesh/cable net slope protection. Final research report. https://merritt.cdlib.org/d/ark%3A%2F13030%2Fm5tf4jpd/1/producer%2FCA05-0222.pdf
Xu H, Gentilini C, Yu ZX, Qi X, Zhao SC (2018) An energy allocation based design approach for flexible rockfall protection barriers. Eng Struct 173:831–852. https://doi.org/10.1016/j.engstruct.2018.07.018
Yu ZX, Qiao YK, Zhao L, Xu H, Liu YP (2018) A simple analytical method for evaluation of flexible rockfall barrier part 1: working mechanism and analytical solution. Adv Steel Constr, 14(2):115–141. https://doi.org/10.18057/IJASC.2018.14.2.1
Yu ZX, Zhao L, Liu YP, Zhao SC, Xu H, Chan SL (2019) Studies on flexible rockfall barriers for failure modes, mechanisms and design strategies: a case study of western China. Landslides 16(2):347–362. https://doi.org/10.1007/s10346-018-1093-y
Zhao H, Wang R, Li QM, Wu H, Hou CC, An G (2020b) Experimental and numerical investigation on impact and post-impact behaviours of H-shaped steel members. Eng Struct 216:110750. https://doi.org/10.1016/j.engstruct.2020.11075
Zhao L, Yu ZX, Liu YP, He JW, Chan SL, Zhao SC (2020a) Numerical simulation of responses of flexible rockfall barriers under impact loading at different positions. J Constr Steel Res 167:105953. https://doi.org/10.1016/j.jcsr.2020.105953
Acknowledgements
The authors are grateful for the support provided by the Transportation Science and Technology project of Sichuan Province (Grant No. 2020-B-01), the Key Science and Technology Projects in the Transportation Industry in 2020 (Grant No. 2020-MS3-101), the Department of Science and Technology of Sichuan Province (Grant No. 2018JY0029), and the Key Research and Development Program of Sichuan Province (Grant No. 2019YFG0001).
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Qi, X., Zhao, L., Hao, CR. et al. Numerical simulation of dynamic responses of semi-rigid rockfall protection barriers subjected to impact loading at different positions. Bull Eng Geol Environ 81, 367 (2022). https://doi.org/10.1007/s10064-022-02870-1
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DOI: https://doi.org/10.1007/s10064-022-02870-1