基于圆弧足底倒立摆模型的人-桥动力竖向相互作用研究  

Dynamic vertical interaction between man and bridge based on circulararc plantar inverted pendulum model

作　　者：朱前坤[1] 尚旭强 张琼[1] 杜永峰[1] ZHU Qiankun;SHANG Xuqiang;ZHANG Qiong;DU Yongfeng(Institute of Earthquake Protection and Disaster Mitigation,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学防震减灾研究所,兰州730050

出　　处：《振动与冲击》2021年第11期58-64,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51668042,51868046,51508257)。

摘　　要：基于新型圆弧足底倒立摆模型,研究了人-桥竖向相互作用。将行人简化为集中质量和两条带有圆弧足底的支撑腿,利用Lagrange方程建立人与桥相互作用动力方程,采用变步长的四阶-五阶龙格库塔法进行数值求解;对比分析了行人通过刚性地面和振动桥面时竖向步行力、动载因子和质心位移的变化原因,并探讨了行人步频与动载因子、自激力之间的关系。研究结果表明:该双足模型能够准确的捕捉到行人质心和步态变化规律;行人通过振动桥面上时动载因子随着行人步频增大而增大;由于人-桥之间的相互作用导致竖向步行力具有一定的自激力性质,并且在不同的行人步频下自激力大小不同。Here,based on a new circular arc plantar inverted pendulum model,vertical interaction between man and bridge was studied.The pedestrian was simplified as a concentrated mass and two supporting legs with arc sole.Lagrange equation was used to establish the dynamic equation of interaction between pedestrian and bridge.The fourth-fifth order Runge-Kutta algorithm with variable step size was used to numerically solve the equation.The variation causes of vertical walking force,dynamic load factor and mass center displacement were contrastively analyzed when pedestrian passing through rigid ground and vibrating bridge deck,and the relationship among pedestrian walking frequency,dynamic load factor and self-excited force was discussed.The study results showed that the bipedal model can accurately capture changes of pedestrian mass center and gait;the dynamic load factor increases with increase in pedestrian step frequency when pedestrian passing through a vibrating bridge;the vertical walking force has a certain self-excited force nature due to interaction between pedestrian and bridge,and self-excited forces are different under different pedestrian step frequencies.

关 键 词：人-桥相互作用 行人动力模型 竖向步行力 动载因子 自激力 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3