【摘要】 人行桥的人致振动的传统算法没有考虑人-桥耦合效应(Human-bridge coupling effect, HBCE)的影响．目前，已有学者将行人等效成弹簧-质量-阻尼(Spring-Mass-Damping, SMD)模型．在此基础上，本文将SMD模型加入到人行桥的运动方程中，推导了人-桥耦合系统的竖向振动方程，并用MATLAB编制了计算程序，对人-桥耦合系统的动力特性和竖向人致振动进行了初步分析．研究结果表明：(1)在考虑人-桥耦合效应后，系统频率会降低，而系统阻尼会增大，即人-桥耦合效应对人行桥的动力特性的影响显著；(2)当步频接近人行桥的频率时，不考虑人-桥耦合效应的竖向人致振动会被过分地放大，而当步频远离人行桥的频率时，考虑人-桥耦合效应的竖向人致振动则偏于保守；(3)人行桥越轻或行人越多，考虑和不考虑人-桥耦合效应的计算结果的差异越大．更多还原

【Abstract】 The traditional algorithm calculating the human-induced vibration of footbridges does not consider the human-bridge coupling effect(HBCE). At present, some researchers have equated the pedestrians to spring-mass-damping(SMD) models.Therefore, in this paper, the SMD models are incorporated to the motion equations of footbridges, the vertical vibration equations of the human-bridge coupling systems are derived, and a calculation program is developed by the MATLAB software. Based on this, a preliminary analysis of the dynamic characteristics and the vertical human-induced vibration of the human-bridge coupling system is carried out. It is found that:(1) by considering HBCE, the system frequency decreases, while the system damping increases, which indicates that HBCE has a significant influence on the dynamic characteristics of footbridges.(2) When the step frequency is close to the footbridge frequency, the vertical human-induced vibration without considering HBCE is prone to be excessively amplified. However, when the step frequency is far away from the footbridge frequency, the vertical human-induced vibration considering the HBCE is conservative.(3) Moreover, the lighter the footbridge is and the more the pedestrians are, the greater the difference between the results with and without considering HBCE will be.更多还原