考虑水-结构-土相互作用的桥墩自振频率半解析解

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (23) : 240-249.

论文

考虑水-结构-土相互作用的桥墩自振频率半解析解

傅大宝1,2，卢哲超2，蔡辉腾3，李芳4，徐嘉隽3，郭阳3，金星1,3

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Semi-analytical natural frequencies solution of bridge pier considering water-structure-soil interaction#br#

FU Dabao1,2, LU Zhechao2, CAI Huiteng3, LI Fang4, XU Jiajun3, GUO Yang3, JIN Xing1,3

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摘要

建立考虑水-结构-土相互作用的桥墩结构自振频率半解析解，并通过实测数据进行验证。以单个桥墩为研究对象，将“桥墩-承台-桩基”结构体系简化为Bernoulli‑Euler梁，采用附加质量模型模拟水-结构相互作用，采用弹性Winkler地基模型模拟桩-土相互作用，建立考虑水-结构-土相互作用的桥墩结构振动控制方程。使用分离变量法得到结构振型函数，根据边界条件建立矩阵方程，通过求解方程的特征值得到结构自振频率。以福州浦上大桥E11桥墩为例，将海底地震仪（ocean bottom seismometer，OBS）核心地震计安装在承台处，采集桥墩的振动响应并提取结构自振频率。同步安装陆地地震仪验证OBS水下监测的有效性，通过对比半解析解、有限元解和实测值验证桥墩结构半解析解的合理性。在此基础上，分析土-结构相互作用、水-结构相互作用对结构自振频率的影响。结果表明，OBS能够满足桥墩自振频率水下测试的环境要求；本文建立的考虑水-结构-土相互作用的桥墩结构自振频率半解析解合理；土-结构、水-结构相互作用会降低结构的一阶自振频率，其中土-结构相互作用的影响比水-结构相互作用更显著。

Abstract

This study presented the derivation of oscillation equation for bridge piers taking into account the water-structure-soil interaction, and verified its accuracy with field measurement. The pier-cap-plie structure system was simplified as Bernoulli‑Euler beam, with water-structure interaction(WSI) represented by the added mass and soil-structure interaction(SSI) represented by elastic Winkler model. Structural vibration mode functions were derived using variable separation method. Natural frequencies were determined by solving the eigenvalues of a matrix equation established in accordance with boundary conditions. The E11 pier of Fuzhou Pushang Bridge was used as a case study. The core seismograph of the ocean bottom seismograph (OBS) was installed on bridge cap, respectively, to collect the vibration responses. Additionally, the natural frequencies were extracted. A land seismograph is synchronously installed to validate the effectiveness of OBS underwater monitoring. The rationality of the semi-analytical solution of the natural frequency for bridge piers was verified by comparing it with the finite element solutions and measured values. Furthermore, the impact of SSI and WSI on the natural frequency was analyzed. The results show that OBS was able to meet the environmental requirements for underwater testing of bridge piers. The semi-analytical solution for bridge piers considering water-structure-soil interaction was reasonable. The SSI and WSI were able to reduce the first natural frequency of the bridge piers, among which the influence of SSI is more significant than that of WSI.

导出引用

傅大宝1, 2, 卢哲超2, 蔡辉腾3, 李芳4, 徐嘉隽3, 郭阳3, 金星1, 3. 考虑水-结构-土相互作用的桥墩自振频率半解析解[J]. 振动与冲击, 2024, 43(23): 240-249

FU Dabao1, 2, LU Zhechao2, CAI Huiteng3, LI Fang4, XU Jiajun3, GUO Yang3, JIN Xing1, 3. Semi-analytical natural frequencies solution of bridge pier considering water-structure-soil interaction#br#[J]. Journal of Vibration and Shock, 2024, 43(23): 240-249

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