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基于移动质量-弹簧-阻尼(MMSD)生物动力学模型,研究了低频轻质人行桥的竖向振动舒适度,采用不同优化模型参数的调谐质量阻尼器(TMD)对其进行振动控制.首先,采用MMSD生物力学模型模拟行人,建立考虑人-桥动力相互作用的人-桥-TMD竖向动力耦合系统的时变控制方程,利用变步长的RungeKutta-Felhberg算法对控制方程进行求解.其次,探讨行人步频与人行桥频率一致时,人行桥在人-结构动力相互作用模型和移动荷载模型下的动力响应.最后,采用TMD对人行桥进行振动控制,对比分析不同优化模型的TMD对人-桥竖向动力耦合系统的控制效果.计算结果表明:评估低频轻质人行桥竖向振动舒适度时,人-桥竖向动力相互作用不容忽视;采用TMD能够有效地减轻人-桥共振时的人行桥振动,TMD参数建议依据Warburton优化模型确定.
Based on the mobile mass-spring-damping (MMSD) biokinetic model, the vertical vibration comfort of low-frequency light weight footbridge was studied and the vibration was controlled by using tuned mass damper (TMD) with different optimized model parameters.Firstly, Using MMSD biomechanical model to simulate pedestrian, the time-varying governing equation of vertical bridge-TMD vertical dynamic coupling system considering human-bridge dynamic interaction was established, and the governing equations were solved by using variable step size Runge-Kutta-Felhberg algorithm.Secondly, The dynamic response of pedestrian bridge under human-structure dynamic interaction model and moving load model is discussed when pedestrian frequency is the same as pedestrian bridge frequency.Finally, the TMD is used to control the vibration of pedestrian bridge, and the TMD of different optimization models is compared and analyzed. - bridge vertical dynamic coupling system.The results show that the vertical dynamic interaction of man-bridge can not be ignored when evaluating the vertical vibration comfort of low-frequency light weight pedestrian bridge. Using TMD can effectively reduce the resonance time of human-bridge Footbridge vibration, the TMD parameter recommendations are based on the Warburton optimization model.