基于随机行走模型的人致振动舒适度研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (9) : 226-233.

论文

基于随机行走模型的人致振动舒适度研究

吴刚杰1，陈得意1，黄仕平2，李智海1

作者信息 +

Human induced vibration comfort based on random walk model

WU Gangjie1, CHEN Deyi1, HUANG Shiping2, LI Zhihai1

Author information +

文章历史 +

摘要

为研究人群密度对人行桥结构的振动影响，首先，建立了双向随机行走模型，推导了随机荷载作用下结构振动响应解析解；然后，对比分析了人群密度对结构振动响应的影响规律；最后，通过研究行人实感时程与总时程之间的相关关系，定义了舒适度放大系数，以荆州市某人行天桥为例，进行振动舒适度评价，验证了双向随机行走模型及舒适度放大系数的适用性。结果表明：人行桥结构加速度响应随人群密度增大呈现出先增大后减小的规律；行人实感时程与总时程具有显著的相关性，根据舒适度放大系数可建立对应关系；舒适度放大系数随着振动响应峰值的增大而减小，随着人群密度的增大而增大；该类结果对人行桥振动舒适度定量计算具有参考借鉴意义。

Abstract

To study the effects of random loads on the vibration of pedestrian bridge structures, Firstly, a bi-directional random walking model was established and an analytical solution for the structural vibration response under random load was derived. Secondly, the influence of crowd density on the structural vibration response was compared and analyzed. Finally, by studying the correlation between the pedestrian's subjective sensation time and the total time, the comfort amplification factor was defined. Taking a pedestrian overpass in Jingzhou City as an example, the vibration comfort evaluation was conducted to verify the applicability of the bi-directional random walking model and the comfort amplification factor. The results show that the acceleration response of pedestrian bridge structure increases first and then decreases with the increase of crowd density. There is a significant correlation between the perceived time and the total time of pedestrians, and a corresponding relationship can be established according to the comfort amplification factor. The comfort amplification factor decreases with the increase of vibration response peak value, while it increases with the increase of crowd density. These results have reference significance for the quantitative calculation of pedestrian bridge vibration comfort.

导出引用

吴刚杰1，陈得意1，黄仕平2，李智海1. 基于随机行走模型的人致振动舒适度研究[J]. 振动与冲击, 2024, 43(9): 226-233

WU Gangjie1, CHEN Deyi1, HUANG Shiping2, LI Zhihai1. Human induced vibration comfort based on random walk model[J]. Journal of Vibration and Shock, 2024, 43(9): 226-233

参考文献

[1] Sigong Zhang,Lei Xu,Jingwei Qin.Vibration of lightweight steel floor systems with occupants: Modelling, formulation and dynamic properties[J]. Engineering Structures,2017,147. [2] 潘毅,王双旭,郭瑞等.行人扶梯荷载作用下悬挑楼盖的振动测试与舒适度评价[J].土木与环境工程学报,2019,41(03):85-95. Pan Yi, Wang Shuangxu, Guo Rui et al. Vibration test and comfort evaluation of cantilevered floor slab under pedestrian escalator load [J]. Journal of Civil and Environmental Engineering, 2019,41 (03): 85-95. [3] 谢伟平,冯金鹏,何卫.基于自激励人体模型的人-结构竖向相互作用研究[J].振动与冲击,2017,36(21):28-33. Xie Weiping, Feng Jinpeng, He Wei. Research on human-structure vertical interaction based on self-excited mannequins [J]. Vibration and Impact, 2017, 36 (21): 28-33. [4] 马斐,张志强,张晓峰等.高铁站房大跨钢楼盖行车和人群荷载激励下振动响应实测与分析[J].建筑结构学报,2018,39(01):109-119. Ma Fei, Zhang Zhiqiang, Zhang Xiaofeng et al. Measurement and analysis of vibration response of large span steel floor under crane and crowd load in high speed railway station building [J]. Journal of Architectural Structure, 2018, 39 (01): 109-119. [5] 陈政清,刘光栋.人行桥的人致振动理论与动力设计[J].工程力学,2009,26(S2):148-159. Chen Zhengqing, Liu Guangdong. Theory and dynamic Design of footbridge induced vibration [J]. Engineering Mechanics, 2009, 26 (S 2): 148-159. [6] 刘世忠,于洪波,陈斌等.大跨度单索面曲线悬索桥人致振动舒适性及减振措施研究[J].世界桥梁,2021,49(03):72-77. Liu Shizhong, Yu Hongbo, Chen Bin et al. Study on the vibration comfort and vibration reduction measures of long span single cable-plane suspension bridges [J] World Bridge, 2021, 49 (03): 72-77. [7] R. Sachse,A. Pavic,P. Reynolds. Parametric study of modal properties of damped two-degree-of-freedom crowd–structure dynamic systems[J]. Journal of Sound and Vibration,2003,274(3). [8] 简方梁,吴定俊,李奇.上海虹桥车站人行走廊人致振动分析[J].振动与冲击,2010,29(08):136-140+248. Jian Fangliang, Wu Dingjun, Li Qi. Analysis of human-induced vibration in pedestrian corridor of Shanghai Hongqiao Station [J]. Vibration and shock, 2010, 29 (08): 136-140 + 248. [9] 罗晓群,张晋,沈昭等.单斜面索拱支承曲梁人行桥人致振动控制研究[J].振动与冲击,2020,39(11):83-92. Luo Xiaoqun, Zhang Jin, Shen Zhao et al. Study on the vibration control of curved beam pedestrian bridges supported by single inclined cable arch [J]. Vibration and Impact, 2020, 39 (11): 83-92. [10] 王海,周叮,王曙光.人-梁相互作用动力学模型研究[J].工程力学,2010,27(05):14-20. Wang Hai, Zhou Ding, Wang Shuguang. Study of dynamic models of man-beam interactions [J]. Engineering Mechanics, 2010, 27 (05): 14-20. [11] 王振宇,陈得意,杜磊等.基于随机行走模型的人致人行桥振动响应分析[J].科学技术与工程,2021,21(31):13536-13544. Wang Zhenyu, Chen Deyi, Du Lei et al. Vibration response analysis of pedestrian bridges based on a random walk model [J]. Science and Technology, 2021, 21 (31): 13536-13544. [12] Wang Haoqi ,Zhang Zhuoran ,Chen Jun. Statistical analysis and its validation of the change in structural dynamic properties under crowd bouncing excitation[J]. International Journal of Structural Stability and Dynamics, 2022, 22(14) [13] Wang Haoqi,Ge Qian, Chen Jun et al. Human-induced vibration serviceability: fromDynamic load measurementtowards the performance-based structural design. Buildings 2023, 13. [14] 陈隽,任静雅,王磊.多人Bounce荷载下结构动力响应折减系数研究[J].振动与冲击,2019,38(11):48-53. Chen Jun, Ren Jingya, Wang Lei. Study on reduction coefficient of structural dynamic response under multiple bounce loads [J]. Vibration and Shock, 2019,38 (11): 48-53. [15] 王鹏程,陈隽,王浩祺.步行荷载的两阶段遗传算法识别[J].振动与冲击,2019,38(19):64-69. Wang Pengcheng, Chen Jun, Wang Haoqi. Two-stage genetic algorithm for identification of walking load [J]. Vibration and Shock, 2019,38 (19): 64-69. [16] 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(07):12-20. Wang Jinping, Xiong Jiecheng, Chen Jun. Cross-spectral model of walking lad and its application[J].Civil Engineering Journal, 2020, 53 (07): 12-20. [17] 何卫,何珂文,王国波.基于频率变化的有载桥梁模态振型识别改进方法[J].振动与冲击,2023,42(09):189-196+283. He Wei, He Kewen, Wang Guobo. Improved method for modal mode identification of loaded bridges based on frequency variations [J]. Vibration and Shock, 2023, 42 (09): 189-196 + 283. [18] 何卫,崔航,鲁宛杰.基于布设障碍的人流控制方法对人群行走步频的影响研究[J].噪声与振动控制,2021,41(06):31-36+48. He Wei, Cui Hang, Lu Wanjie. Influence of flow control based on obstacle placement on walking frequency [J]. Noise and Vibration Control, 2021, 41 (06): 31-36 + 48. [19] 汪志昊,寇琛,刘召朋等.考虑三种静立人体模型的单人-简支梁耦合系统竖向动力特性对比分析[J].振动工程学报,2020,33(05):952-960.DOI:10.16385/j.cnki.issn.1004-4523.2020.05.010. Wang Zhihao, Kou Chen, Liu Zhaopeng et al. Comparison and analysis of vertical dynamic characteristics of three static mannequins with single - simple beam coupling systems [J]. Vibration Engineering Journal, 2020, 33 (05): 952-960. [20] 李红利,陈政清.考虑荷载随机性的人行桥人致振动计算方法研究[J].湖南大学学报(自然科学版),2013,40(10):22-31. Li Hongli, Chen Zhengqing. Study on the calculation method of human-induced vibration of footbridge with stochastic load [J]. Journal of Hunan University (Nature Science Edition), 2013, 40 (10): 22-31. [21] 朱前坤,蒲兴龙,惠晓丽等.基于人群-结构耦合作用甘肃省体育馆悬挂结构振动舒适度评估及控制[J].工程力学,2018,35(S1):46-52. Zhu Qiankun, Pu Xinglong, Hui Xiaoli et al. Evaluation and control of vibration comfort of suspended structures in gansu provincial gymnasium based on crowd - structure coupling effect [J]. Engineering Mechanics, 2018, 35 (S 1): 46-52. [22] 邹卓,宋旭明,李璋等.基于TMD的自锚式人行悬索桥人致振动控制研究[J].铁道科学与工程学报,2018,15(10):2574-2582. Zou Zhuo, Song Xuming, Li Zhang et al. Research on the control of human-induced vibration of self-anchored pedestrian suspension bridges based on TMD [J]. Journal of Railway Science and Engineering, 2018, 15 (10): 2574-2582. [23] 张琼,南娜娜,朱前坤等.随机人群运动荷载作用下大跨度连廊的振动响应[J].土木与环境工程学报(中英文),2019,41(02):99-105. Zhang Qiong, Nan Nana, Zhu Qiankun et al. Vibration response of long span corridor under random crowd motion load [J]. Journal of Civil and Environmental Engineering, 2019, 41 (02): 99-105. [24] 操礼林,于国军,李爱群.考虑行人同步率的随机行走人群模型[J].西南交通大学学报,2020,55(03):495-501. Cao Lilin, Yu Guojun, Li Aiqun. Random walk population model considering pedestrian synchronization rate [J]. Journal of Southwest Jiaotong University, 2020, 55 (03): 495-501. [25] 冯宇豪,陈得意,曾磊等.基于改进烦恼率模型的人行桥振动舒适度研究[J].科学技术与工程,2023,23(06):2612-2620. Feng Yuhao, Chen Deyi, Zeng Lei et al. Footbridge vibration comfort research based on improved worry rate model [J]. Science and Technology, 2023,23 (06): 2612-2620.