Abstract The traveling wave resonance phenomenon exhibits in the seismic response of the symmetric bridge structure. However, there is a scarcity of shaking table tests validating the traveling wave resonance. A 1/70-scale pile-soil-cable-stayed bridge model was fabricated following the preliminary design of a cable-stayed bridge with a main span of 1400 m. Shaking table tests were performed to verify the traveling wave and mode shape resonances in the seismic response of the bridge model when separately subjected to two specific sine waves longitudinally. The vertical acceleration frequency spectra and seismic response of the bridge model were compared between uniform and non-uniform sine wave excitation. The results showed that the traveling wave and mode shape resonances were examined in the seismic response of the pile-soil-cable-stayed bridge model under non-uniform excitation of the specific sine waves. The traveling wave excitation increased the symmetric response at the symmetric girder location but decreased the antisymmetric responses of the towers and girder, compared to the uniform excitation regarded as antisymmetric input. Finally, a finite element model was developed in OpenSees that could capture the seismic response changes caused by the traveling wave effects of the specific sine waves and proximately reproduce the experimental results. Therefore, the traveling wave and mode shape resonances were verified by the numerical simulations.

中文翻译：

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非均匀正弦波激励下桩-土-斜拉桥地震响应行波共振振动台试验验证

摘要 对称桥梁结构的地震反应中表现出行波共振现象。然而，缺乏验证行波共振的振动台测试。根据主跨1400 m斜拉桥的初步设计，制作了1/70比例的桩-土-斜拉桥模型。进行了振动台试验，以验证当分别受到两个特定的正弦波纵向作用时，桥梁模型的地震响应中的行波和模态共振。比较了均匀和非均匀正弦波激励下桥梁模型的垂直加速度频谱和地震响应。结果表明，在特定正弦波的非均匀激励下，桩-土-斜拉桥模型的地震响应中检查了行波和模态共振。与被视为反对称输入的均匀激励相比，行波激励增加了对称梁位置处的对称响应，但降低了塔和梁的反对称响应。最后，在 OpenSees 中开发了一个有限元模型，该模型可以捕捉由特定正弦波的行波效应引起的地震响应变化，并近似再现实验结果。因此，行波和模式形状共振通过数值模拟得到验证。与被视为反对称输入的均匀激励相比，行波激励增加了对称梁位置处的对称响应，但降低了塔和梁的反对称响应。最后，在 OpenSees 中开发了一个有限元模型，该模型可以捕捉由特定正弦波的行波效应引起的地震响应变化，并近似再现实验结果。因此，行波和模式形状共振通过数值模拟得到验证。与被视为反对称输入的均匀激励相比，行波激励增加了对称梁位置处的对称响应，但降低了塔和梁的反对称响应。最后，在 OpenSees 中开发了一个有限元模型，该模型可以捕捉由特定正弦波的行波效应引起的地震响应变化，并近似再现实验结果。因此，行波和模式形状共振通过数值模拟得到验证。在 OpenSees 中开发了一个有限元模型，可以捕捉由特定正弦波的行波效应引起的地震响应变化，并近似地再现实验结果。因此，行波和模式形状共振通过数值模拟得到验证。在 OpenSees 中开发了一个有限元模型，可以捕捉由特定正弦波的行波效应引起的地震响应变化，并近似地再现实验结果。因此，行波和模式形状共振通过数值模拟得到验证。