基于实测数据的行人上下楼梯人体动力学模型

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (4) : 233-239.

论文

朱前坤1,2，陈凯1，杜永峰1，李宏男1 ,刘路路3

作者信息 +

Based on the measured data of pedestrian up and down stairs biodynamic model

ZHU Qiankun1,2,CHEN Kai1,DU Yongfeng1,Li Hongnan1,LIU Lulu3

Author information +

文章历史 +

摘要

为研究考虑人-楼梯相互作用时，大跨度柔性楼梯在人行激励作用下的振动舒适度，为此建立了单自由度动力响应数学模型，得到了加速度频响函数。以楼梯上的行人为研究对象，通过实测数据，建立行人上下楼梯的生物力学模型。将该模型等效含有参数的三元非线性方程组，通过试验测试得到大量试验者在楼梯上行走时的竖向加速度时程，结合快速傅里叶变换提取了耦合系统中的输入参数，采用最小二乘法求解耦合系统等效的非线性方程组得到了耦合系统的质量、刚度、阻尼等输出参数，并且对其参数进行相关性分析，并统计得到了其分布规律，对三个输出参数进行了二次曲面拟合，得到了各参数的公式，从而建立了行人上下楼梯的单自由度人体动力学模型。

Abstract

In order to study the dynamic response of long-span flexible stair under human-induced excitation when considering the interaction of human-stair structure, so a single degree of freedom dynamic response mathematical model was defined, and obtained the acceleration frequency response function. human-stair interaction system was defined based on pedestrian on stair. Biomechanical model up and down stair were built by testing data. The model is equivalent to the three element nonlinear equations with parameters and massive vertical acceleration of pedestrian walking on stair were obtained. FFT was used to get the input parameters, the output parameters mass, stiffness, damping, were obtained by solving the equivalent equation set by least square method. The distribution of the three parameters were analyzed. The formula of the three parameters were built by the quadratic surface fitting. Finally, the pedestrian up and down stairs biodynamic model was built.

导出引用

朱前坤1,2，陈凯1，杜永峰1，李宏男1,刘路路3. 基于实测数据的行人上下楼梯人体动力学模型[J]. 振动与冲击, 2018, 37(4): 233-239

ZHU Qiankun1,2,CHEN Kai1,DU Yongfeng1,Li Hongnan1,LIU Lulu3. Based on the measured data of pedestrian up and down stairs biodynamic model[J]. Journal of Vibration and Shock, 2018, 37(4): 233-239

参考文献

[1] 陈隽, 彭怡欣, 王玲. 基于步态分析技术的三向单足落步荷载曲线试验建模[J]. 土木工程学报, 2014(3):79-87.
Chen Jun, Peng Yixin, Wang Ling. Experimental investigation and mathematical modeling of single footfall load using motion capture technology[J]. China Civil Engineering Journal, 2014(3):79-87.
[2] 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实验研究[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.
[3] 丁国, 陈隽. 行人荷载随机性对楼盖振动响应的影响研究[J]. 振动工程学报, 2016, 29(1):123-131.
Ding Guo, Chen Jun. Influence of walking load randomness on vibration responses of long－span floor[J]. Journal of Vibration Engineering, 2016, 29(1):123-131.
[4] Bishop N W M, Willford M, Pumphrey R. Human induced loading of flexible staircases[J]. Safety Science, 2001, 18(4):261-276.
[5] Kerr S C, Bishop N W M. Human induced loading on flexible staircases[J]. Engineering Structures, 2001, 23: 37-45.
[6] Gaile L, Radinsh I. Human induced dynamic loading on stairs [J]. World Academy of Science, Engineering and Technology, 2012, 6: 1271−1277.
[7] Barker C., Mackenzie D.. Calibration of the UK Nationnal Annex. Footbridge 2008, Proceedings of the International Conference. Porto, Portugal, 2008.
[8] 秦敬伟, 杨庆山, 杨娜. 人体-结构系统静态耦合的模态参数[J]. 振动与冲击, 2012, 31(15):150-157.
Qin Jingwei, Yang Qingshan,Yang Na. Modal parameters of human body-structure static interaction systems[J].Journal of Vibration And Shock, 2012, 31(15):150-157.
[9] 秦敬伟, 杨庆山. 基于双足步行模型和反馈机制的人体-结构相互作用[J]. 建筑结构学报, 2014, 35(s1):18-24.
      Qin Jingwei, Yang Qingshan. Human-structure interaction based on bipedal walking model and feedback mechanism[J]. Journal of Building Structures, 2014, 35(s1):18-24.
[10] Kim S H, Cho K I, Choi M S, et al. Development of Human Body Model for the Dynamic Analysis of Footbridges under Pedestrian Induced Excitation[J]. International Journal of Steel Structures, 2008, 8(4):333-345.
[11] IISO 5982. Standards I. Vibration And Shock - Mechanical Driving Point Impedance Of The Human Body[J]. 1981.
[12] Felipe Tavares da Silva, Roberto Leal Pimentel. Biodynamic walking model for vibration serviceability of footbridges in vertical direction[C]// Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011, Leuven, Belgium. 2011: 1090−1096.
[13] Toso M A, Gomes H M, Silva F T D, et al. Experimentally fitted biodynamic models for pedestrian–structure interaction in walking situations[J]. Mechanical Systems & Signal Processing, 2015, 72-73:590-606.
[14] Pavic A, Reynolds P, Sachse R. Human-Structure Dynamic Interaction in Civil Engineering Dynamics: A Literature Review[J]. Shock & Vibration Digest, 2003, 35(1).
[15]   杜永锋，刘路路，朱前坤，等.上下楼梯时人行荷载模型参数的试验研究[J]. 振动与冲击, 2016，35（21）：220-228
      Du Yongfeng，Liu Lulu,Zhu Qiankun. Tests for parameters of pedestrian load model during human walking up and down stairs[J].Journal of Vibration and Shock,2016，35（21）：220-228