基于实测数据的行人上下楼梯人体动力学模型  

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

作　　者：朱前坤[1,2] 陈凯 杜永峰[1] 李宏男[1] 刘路路 ZHU Qiankun;CHEN Kai;DU Yongfeng;LI Hongnan(Institute of Earthquake Protection and Disaster Mitigation,Lanzhou University of Technology,Lanzhou 730050,China;Department of Architectural Engineering,Dalian University of Technology,Dalian 116024,China;School of Civil Engineering,Southeast University,Nanjing 210096,China)

机构地区：[1]兰州理工大学防震减灾研究所,兰州730050 [2]大连理工大学建设工程学部,辽宁大连116024 [3]东南大学土木工程学院,南京210096

出　　处：《振动与冲击》2018年第4期233-239,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51508257;51668042);甘肃省高等学校科研项目(2015B-34)

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,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,对其参数进行相关性分析,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,建立了行人上下楼梯的单自由度人体动力学模型。In order to study the dynamic response of long-span flexible stair under human-induced excitation with considering the interaction of human-stair structure,a single-degree-of-freedom dynamic response mathematical model was built.,The acceleration frequency response function was obtained.The human-stair interaction system was defined based on pedestrian on the stair.A biomechanical model up and down stair was built based on testing data.The model was treated as three element nonlinear equations with parameters.Massive vertical acceleration of pedestrian walking on stair was obtained.FFT was used to get the input parameters.The output parameters mass,stiffness,damping,were obtained by solving the equivalent equation set through the least square method.The distribution of the three parameters was analyzed.The formula of the three parameters was built by the quadratic surface fitting.Finally,the pedestrian up and down stairs biodynamic model was built.

关 键 词：柔性楼梯 人-结构相互作用 二次曲面拟合 行人生物力学模型 

分 类 号：TU312.1[建筑科学—结构工程]