Resonance in high-speed railway bridges can deteriorate the structural integrity and running safety of a train; thus, the resonant speed needs to be identified. Previous studies have proposed resonant conditions analytically, but their applications to in-service bridges are limited. Free vibration after the passage of a train was utilized to assess resonance, but it could not capture the natural frequency of the coupled system because the train-bridge interaction was neglected. This study proposed a practical framework for quantifying the resonance in a high-speed railway bridge using a phase shift. The static displacement of the railway bridge was numerically reconstructed using the train loading history. Phase angles were extracted by comparing the static and dynamic displacements, which were directly utilized to develop a novel resonance indicator in this study. Numerical simulations and field demonstrations validated the applicability of the proposed method for understanding the resonance behavior of full-scale railway bridges.

中文翻译：

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基于相移的在役高速铁路桥梁共振评估

高速铁路桥梁的共振会降低列车的结构完整性和运行安全性；因此，需要确定共振速度。先前的研究已经通过分析提出了共振条件，但它们在现役桥梁中的应用受到限制。利用火车通过后的自由振动来评估共振，但由于忽略了车桥相互作用，因此无法捕获耦合系统的固有频率。这项研究提出了一个使用相移来量化高速铁路桥梁谐振的实用框架。利用火车荷载历史对铁路桥的静态位移进行数值重建。通过比较静态和动态位移来提取相位角，并在本研究中直接利用这些相位角来开发新型共振指示器。数值模拟和现场演示验证了所提出的方法在理解全尺寸铁路桥梁共振行为方面的适用性。