Equivalent dynamic load factor for pedestrian loads and its application

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (16) : 269-277.

WANG Jinping1, CHEN Jun2

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Abstract

Pedestrian loads are the basis for human-induced vibration analysis for structures like large-span floors and footbridges. Existing load models in time domain lack the consideration of human-human interaction, while those in frequency domain are too complicated to be used in engineering design. In this regard, a simple and effective equivalent dynamic load factor model for pedestrian loads in the form of the second-order Fourier series is proposed, which considers human-human interaction and is applicable to different traffic conditions related to crowd density. Firstly, the structural responses of single-degree-of-freedom systems under different crowd sizes, dominant walking frequencies and structural damping ratios were simulated via the experiment-based power spectral density model for pedestrian loads. Then following the structural response equivalence principle, the expressions for equivalent dynamic load factor were determined by fitting the simulation results. The model was validated using the measured responses of as-built large-span structures, and the results showed that the model had lower prediction errors compared to existing domestic and international codified methods, and can serve as a reference for human-induced vibration serviceability analysis and safety assessment in the design of large-span structures.

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pedestrian load / dynamic load factor / human-induced vibration / vibration serviceability / footbridges

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WANG Jinping1, CHEN Jun2. Equivalent dynamic load factor for pedestrian loads and its application[J]. Journal of Vibration and Shock, 2024, 43(16): 269-277

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[1] 陈政清，华旭刚. 人行桥的振动与动力设计[M]. 北京：人民交通出版社, 2009. CHEN Zhengqing, HUA Xugang. Vibration and dynamic design of footbridges[M]. Beijing: China Communications Press, 2009. [2] 陈隽. 人致荷载研究综述[J]. 振动与冲击, 2017, 23(36): 1-9. CHEN Jun. A review of human- induced loads Study[J]. Journal of Vibration and Shock, 2017, 23(36): 1-9. [3] 王晋平，熊杰程，陈隽. 人群步行荷载的互谱模型及应用[J]. 土木工程学报, 2020, 53(7): 12-20. WANG Jinping, XIONG Jiecheng, Chen Jun. Cross-spectral model for crowd walking load and its application[J]. China Civil Engineering Journal, 2020, 53(7): 12-20. [4] 陈隽，王晋平，熊杰程. 步行荷载的功率谱模型及其应用研究[J]. 建筑结构学报, 2019, 40(9): 166-174. CHEN Jun, WANG Jinping, XIONG Jiecheng. Power spectral density model for pedestrian walking load and its application[J]. Journal of Building Structures, 2019, 40(9): 166-174. [5] FERRAROTTI A，TUBINO F. Generalized equivalent spectral model for serviceability analysis of footbridges[J]. Journal of Bridge Engineering, 2016, 21(12): 04016091. [6] KRENK S. Dynamic response to pedestrian loads with statistical frequency distribution[J]. Journal of Engineering Mechanics，2012, 138(10): 1275-1281. [7] Technical guide: Assessment of vibrational behavior of footbridges under pedestrian loading[S]. Paris: Service d’Étude Techniques des Routes et Autoroutes (Sétra), 2006. [8] HEINEMEYER C, BUTZ C, Keil A. Design of lightweight footbridges for human induced vibrations, Eurocode 3[S]. Italy: JRC – European Communities, 2009. [9] GB/T 51228-2017. 建筑振动荷载标准[S]. 北京：中国建筑工业出版社，2017. GB/T 51228-2017. Standard for vibration load of buildings[S]. Beijing: China Architecture & Building Press, 2017. [10] UK National Annex to Eurocode 1. Actions on structures – Part 2: Traffic loads on bridges. NA to BS EN 1991-2[S]. London: British Standards Institution (BSI), 2003. [11] Bulletin 32. Guidelines for the design of footbridges[S]. Stuttgart: International Federation for Structural Concrete (fib), Sprint-Digital-Druck, 2005. [12] ISO 10137. Bases for design of structures - Serviceability of Buildings and walkways against vibration[S]. International Organization for Standard (ISO), 2012. [13] Bro 2004. Vägverkets allmänna tekniska beskrivning för nybyggande och förbättring av broar[S]. Sverige: Svensk Byggtjänst, 2004. [14] CROCE P. Guidebook-2_Design_of_Bridges[M]. Prague: Czech Technical University, 2010. [15] VAN NIMMEN K, VAN HAUWERMEIREN J, VAN DEN BROECK P. Eeklo Footbridge: Benchmark Dataset on Pedestrian-Induced Vibrations[J]. Journal of Bridge Engineering, 2021, 26(7): 05021007. [16] 陈隽，王浩祺，彭怡欣. 行走激励的傅里叶级数模型及其参数的试验研究[J]. 振动与冲击, 2014, 33(8): 11-15. CHEN Jun, WANG Haoqi, PENG Yixin. Experimental investigation on Fourier-series model of walking load and its coefficients[J]. Journal of Vibration and Shock, 2014, 33(8): 11-15. [17] 谢伟平，章涛，何卫，等. 单人步行荷载模型研究[J] 振动与冲击, 2018, 14(37): 215-220. XIE Weiping, ZHANG Tao, HE Wei, et al. Load model for a single pedestrian[J]. Journal of Vibration and Shock, 2018, 14(37): 215-220. [18] 郭瑞，任宇，王双旭，等. 基于人群密度的随机人群荷载模型研究[J]. 振动与冲击, 2021, 40(20): 255-263. GUO Rui, REN Yu, WANG Shuangxu, et al. A study on stochastic crowd load model based on crowd density[J]. Journal of Vibration and Shock, 2021, 40(20): 255-263. [19] INGÓLFSSON E T, GEORGAKIS C T, RICCIARDELLI F, et al. Experimental identification of pedestrian-induced lateral forces on footbridges[J]. Journal of Sound Vibration, 2011, 330(2011): 1265-1284. [20] RICCIARDELLI F, PIZZIMENTI A D. Lateral Walking-Induced Forces on Footbridges[J]. Journal of Bridge Engineering, 2007, 6(12): 677-688. [21] WIRSCHING P H, PAEZ T L, ORTIZ K. Random vibrations: Theory and practice[M]. New York: Wiley, 2006. [22] 温金龙，汪志昊，寇琛，等. 人-桥竖向耦合振动效应试验研究[J]. 振动与冲击, 2022, 41(9): 26-31. WEN Jinlong, WANG Zhihao, KOU Chen, et al. Tests for human-bridge vertically coupled vibration effects[J]. Journal of Vibration and Shock, 2022, 41(9): 26-31. [23] Design of lightweight footbridges for human induced vibrations[S]. Italy: European Commission, 2009. [24] 陈海浪，宋志刚，张帅. 不同密度人群行走作用下结构竖向振动响应分析[J]. 振动与冲击, 2018, 37(11): 189-194. CHEN Hailang, SONG Zhigang, ZHANG Shuai. Vertical vibration response of a structure under different number pedestrians walking on it[J]. Journal of Vibration and Shock, 2018, 37(11): 189-194. [25] TUBINO F, CARASSALE L M, PICCARDO G. Human-Induced Vibrations on Two Lively Footbridges in Milan[J]. Journal of Bridge Engineering, 2016, 21(8): C4015002. [26] AN Q, REN Q, LIU H, et al. Dynamic performance characteristics of an innovative Cable Supported Beam Structure Concrete Slab Composite Floor System under human-induced loads[J]. Engineering Structures, 2016(117): 40-57. [27] 安琦. 弦支组合楼盖结构力学性能分析及人致振动理论研究[D]. 天津：天津大学, 2016. AN Qi. Study on the mechanical properties and human-induced vibration of cable supported composite floor system[D]. Tianjin: Tianjin University, 2016.