瑞利波作用下考虑竖向荷载影响的单桩在饱和软土中的水平动力分析

周凤玺; 高智岗; 曹小林; 戴国亮

doi:10.11779/CJGE2024S20030

瑞利波作用下考虑竖向荷载影响的单桩在饱和软土中的水平动力分析 English Version

1.
兰州理工大学土木工程学院, 甘肃兰州 730050
2.
东南大学土木工程学院, 江苏南京 211189

基金项目:

国家自然科学基金项目 12362032

国家自然科学基金项目 1878160

国家自然科学基金项目 52078128

甘肃省重点研发计划项目 23YFFA0063

详细信息

作者简介:
周凤玺(1979—)，男，教授，主要从事岩土工程方面的教学与研究工作。E-mail: geolut@163.com

中图分类号: TU473
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出版历程
- 收稿日期: 2024-06-20
- 刊出日期: 2024-09-30

Horizontal dynamic analysis of a single pile in saturated soft soils under Rayleigh wave action consideringe effects of vertical loads

1.
School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2.
School of Civil Engineering, Southeast University, Nanjing 211189, China

摘要

摘要: 桩在竖向荷载和瑞利波共同作用下产生水平振动，竖向荷载会因二阶效应导致水平位移增大。为研究桩在饱和软土地基中的水平动力响应，建立瑞利波作用下单桩动力响应的计算模型。基于Biot理论计算均匀自由场中饱和软土地基的水平动力响应。利用边界条件求得土体阻力封闭解。基于Timoshenko梁理论建立桩基动力微分方程，得到桩的水平位移、弯矩和转角的解析解。通过数值算例验证模型正确性，分析竖向荷载、无量纲频率对桩水平振动的影响。研究发现竖向荷载和桩长对水平振动影响较大。
- 饱和软土 /
- 柔性约束 /
- 水平振动 /
- 瑞利波 /
- Timoshenko梁
Abstract: The pile generates horizontal vibration under the combined action of vertical loads and Rayleigh waves, and the vertical loads will increase the horizontal displacement due to the second-order effects. In order to study the horizontal dynamic response of piles in saturated soft soil foundation, a model for calculating the dynamic response of a single pile under the action of Rayleigh waves is established. Based on the Biot theory, the horizontal dynamic response of saturated soft soil foundation in a uniform free field is calculated. The boundary conditions are used to obtain the closure solution of soil resistance. Based on the Timoshenko beam theory, the dynamic differential equation for the pile foundation is established, and the analytical solutions of the horizontal displacement, bending moment and rotation angle of the pile are obtained. Numerical examples are used to verify the correctness of the model, and the influences of the vertical load and dimensionless frequency on the horizontal vibration of the pile are analyzed. It is found that the vertical load and pile length have a great influence on the horizontal vibration.
- saturated soft soil /
- flexible constraint /
- horizontal vibration /
- Rayleigh wave /
- Timoshenko beam

HTML全文

图 1 瑞利波作用下桩在饱和土中的计算模型

Figure 1. Computational model for pile in saturated soils under Rayleigh waves

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图 2 本文解与Makris解的比较

Figure 2. Comparison between authors' and Makris' solutions

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图 3 竖向荷载对单桩横向响应沿桩长变化的影响

Figure 3. Influences of vertical load on lateral response of a single pile along pile length

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图 4 竖向荷载对单桩水平响应随无因次频率变化的影响

Figure 4. Influences of vertical load on horizontal response of a single pile with dimensionless frequency

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参考文献(10)

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