Abstract：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.
朱前坤，尚旭强,张琼，杜永峰. 基于圆弧足底倒立摆模型的人-桥动力竖向相互作用研究[J]. 振动与冲击, 2021, 40(11): 58-64.
ZHU Qiankun, SHANG Xuqiang, ZHANG Qiong, DU Yongfeng. Dynamic vertical interaction between man and bridge based on circular arc plantar inverted pendulum model. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(11): 58-64.
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