Abstract This paper investigates the additional damping effect that vehicle-bridge interaction (VBI) has on the vibration of bridges. It also establishes a generic analytical expression that accurately predicts the additional damping effect for a broad class of (conventional and high-speed) train-bridge systems. The analysis adopts the classic assumption of continuous contact between the rails and the wheels. The proposed approach allows a multi-mode description of the additional damping, as well as, the deduction of the time-varying additional damping matrix of bridges. The study also offers simplified formulas for common bridge types, such as simply supported and continuous bridges. More importantly, it shows that additional damping can obtain negative values, which implies influx instead of dissipation of energy. Numerical analyses on various vehicle-bridge configurations validate the accuracy of the proposed approach. The results further demonstrate that the suggested formulas outperform currently available methods to estimate the additional damping on bridges, such as the Additional Damping Method (ADM) of Eurocode 1.

中文翻译：

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由于车桥相互作用对桥梁的附加阻尼效应

摘要 本文研究了车桥相互作用（VBI）对桥梁振动的附加阻尼效应。它还建立了一个通用的分析表达式，可以准确预测广泛类别（常规和高速）列车-桥梁系统的附加阻尼效应。分析采用轨道和车轮连续接触的经典假设。所提出的方法允许附加阻尼的多模式描述，以及桥梁时变附加阻尼矩阵的推导。该研究还提供了常见桥梁类型的简化公式，例如简支桥和连续桥。更重要的是，它表明附加阻尼可以获得负值，这意味着能量的流入而不是耗散。对各种车桥配置的数值分析验证了所提出方法的准确性。结果进一步表明，建议的公式优于目前可用的估计桥梁附加阻尼的方法，例如欧洲规范 1 的附加阻尼方法 (ADM)。