The interaction between structures and walking humans is an important factor in vibration serviceability assessment of slender, lightweight, and low-damping structures. When on bridges humans form a human-structure system and interact with the structural vibration. The conventional vertical moving force (MF) model neglects human-structure interaction (HSI) effects. In contrast, a moving spring-mass-damper (MSMD) model is shown to have the potential to incorporate HSI effects leading to more accurate vibration response prediction. The MSMD model parameters have been much studied in biomechanics. However, the literature lacks an experimental calibration of the MSMD model parameters on a vibrating surface for vibration serviceability design and assessment purposes. Consequently, an experimental-numerical methodology is developed to calibrate the MSMD model parameters in the worst-case (resonance) scenario by matching measured and simulated vibration responses. To facilitate simple implementation of HSI effects into engineering practice, results of simulation using a calibrated equivalent moving force (EMF) model are also shown. The walking force on rigid surfaces along with vibration responses of two lively full-scale laboratory footbridges are measured for 23 test subjects by performing a total of 295 trials on the two structures. A parametric study is first performed on the MSMD model using the experimental results. The experimental results of the Monash footbridge are then used as the training dataset to extract optimal MSMD model parameters. The results from the Warwick footbridge are used to validate the model. The validation tests results show a considerable improvement in the vibration response prediction using both models. It was found that when walking in resonance with the bridge, the walker can be modelled to have natural frequency equal to the resonant frequency of the bridge, and that the damping ratio is larger for heavier walkers.

结构与行走的人之间的相互作用是评估细长，轻便和低阻尼结构的振动适用性的重要因素。当在桥上时，人会形成人-结构系统并与结构振动相互作用。常规的垂直移动力（MF）模型忽略了人机交互作用（HSI）的影响。相反，动态弹簧质量阻尼器（MSMD）模型显示具有合并HSI效应的潜力，从而可以更准确地预测振动响应。MSMD模型参数已在生物力学中进行了大量研究。但是，文献缺乏用于振动可服务性设计和评估目的的振动表面上MSMD模型参数的实验校准。所以，开发了一种实验数字方法，通过匹配测量和模拟的振动响应来校准最坏情况（共振）情况下的MSMD模型参数。为了便于将HSI效果轻松实施到工程实践中，还显示了使用校准的等效移动力（EMF）模型的仿真结果。通过对这两个结构进行总共295次试验，测量了23位测试对象在刚性表面上的行走力以及两条活泼的满刻度实验室人行桥的振动响应。首先使用实验结果对MSMD模型进行参数研究。然后将莫纳什人行桥的实验结果用作训练数据集，以提取最佳MSMD模型参数。Warwick行人天桥的结果用于验证模型。验证测试结果表明，使用这两种模型的振动响应预测都有了显着改善。已经发现，当与桥梁共振时，步行者可以被建模为具有等于桥梁共振频率的固有频率，并且对于较重的步行者，阻尼比更大。