| 基于Timoshenko梁理论考虑阻尼的承台-桩-土耦合横向振动解 |
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| 引用本文： | 邱欣晨,吴君涛,赵爽,王奎华,涂园.基于Timoshenko梁理论考虑阻尼的承台-桩-土耦合横向振动解[J].中国公路学报,2022,35(4):166-176. |
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| 作者姓名： | 邱欣晨 吴君涛 赵爽 王奎华 涂园 |
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| 作者单位： | 1. 浙江大学 滨海和城市岩土工程研究中心, 浙江 杭州 310058;2. 浙江大学 软弱土与环境土工教育部重点实验室, 浙江 杭州 310058 |
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| 基金项目： | 国家自然科学基金项目(51779217);中央高校基本科研业务费专项资金项目(2020QNA4027);中国博士后科学基金项目(2020M681857) |
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| 摘 要： | 由于缺乏合适的激振和接收位置,传统竖向低应变反射波法在检测带承台或未凿桩头的桩基动力特性时存在明显不足.为进一步拓展低应变检测波法应用范围,基于Timoshenko梁理论,考虑桩身材料阻尼、附加轴力及桩顶等效质量作用,建立了一种横向激励条件下承台-桩-土耦合振动模型,并求解了该模型的频域内解析解及其时域半解析解.进一步...
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| 关 键 词： | 桥梁工程 Timoshenko梁 横向振动 剪切变形 频散效应 |
| 收稿时间： | 2020-07-12 |
Lateral Dynamic Response of Pile Cap-pile-soil Coupled Model Based on Timoshenko Beam Theory and Material Damping |
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| QIU Xin-chen,WU Jun-tao,ZHAO Shuang,WANG Kui-hua,TU Yuan.Lateral Dynamic Response of Pile Cap-pile-soil Coupled Model Based on Timoshenko Beam Theory and Material Damping[J].China Journal of Highway and Transport,2022,35(4):166-176. |
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| Authors: | QIU Xin-chen WU Jun-tao ZHAO Shuang WANG Kui-hua TU Yuan |
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| Affiliation: | 1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, Zhejiang, China;2. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education, Zhejiang University, Hangzhou 310058, Zhejiang, China |
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| Abstract: | Owing to the lack of suitable excitation and receiving locations, the traditional vertical low-strain reflected wave method has obvious deficiencies in detecting the dynamic characteristics of pile foundations with pile caps or unchiseled pile heads. Based on Timoshenko beam theory, and further considering the pile material damping, additional axial force, and pile top equivalent mass effect, a cap-pile-soil coupling vibration model under lateral excitation was established, and analytical and semi-analytical solutions of displacement in the frequency and time domains were obtained. Furthermore, this study investigated two shear waves of the Timoshenko beam under low-strain test conditions where the wave propagation basically depends on one type of shear wave, and the other shear wave is depressed under the cut-off frequency; it can be considered that the model equivalent shear wave velocity is slightly smaller than the one-dimensional shear wave velocity. A comparison with the indoor model test results further validates the hypothesis and the rationality of the theoretical solution. Based on the theoretical solution of this study, a time-domain analysis of the effects of the constraint conditions at the bottom of the pile, the parameters of the pile-soil model, the characteristics of the bearing caps, and the width of the test signal on the horizontal excitation response of the pile top was performed. The responses of horizontal velocity measured by different depths of model piles show that the pile bottom reflections have oscillation intervals “in the same direction-reverse direction-same direction” with the excitation signal, and the constraint conditions at the bottom of the pile mainly affect the scope of the oscillation interval; the characteristics of the cap and the pile/soil material parameters mainly affect the amplitude of the reflected wave at the bottom of the pile; the excitation frequency mainly affects the width of the velocity wave, and under high-frequency conditions, the second type of shear wave is excited. The results of the parameter analysis in this study can provide theoretical support and guidance for the inspection of pile foundations with caps or uncut pile heads. |
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| Keywords: | bridge engineering Timoshenko beam lateral dynamic shear deformation dispersion |
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