Analytical solution for simplifying the pile-soil interaction to a spring-damping system under horizontal vibration

IF 3.3 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

Soils and Foundations Pub Date : 2024-04-29 DOI:10.1016/j.sandf.2024.101469

Piguang Wang , Yiming Huang , Mi Zhao , Xinglei Cheng , Xiuli Du

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引用次数: 0

Abstract

An analytical solution is developed to investigate the model of simplifying the pile-soil interaction to a spring-damping system when the horizontal earthquake input or the top of the model is subjected to horizontal dynamic load. Based on Euler-Bernoulli theory, the dynamic equilibrium equations of pile in soil and air are established, respectively. Then, utilizing the corresponding boundary conditions, potential function decomposition, and transfer matrix method, the analytical expression of impedance at the pile head whether the horizontal earthquake input or the top of the system is subjected to horizontal dynamic load can be presented. Furthermore, the model of the pile-soil complex interaction can be simplified as a spring-damping system according to the stress equilibrium at the pile bottom in the air. Moreover, the rationality of the present solution (without simplification) is verified by comparison with existing methods, and then the difference between the present solution (without simplification) and the spring-damping system (simplification) is also compared. Finally, the influence of the parameter variation in the pile buried in the soil and soil free-field on the simplified model are discussed. The research results will be instructive for the simplification of numerical model for pile-soil interaction.

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将水平振动下的桩土相互作用简化为弹簧阻尼系统的分析解决方案

建立了一个分析解决方案，以研究当水平地震输入或模型顶部受到水平动荷载时，将桩土相互作用简化为弹簧阻尼系统的模型。基于欧拉-伯努利理论，分别建立了桩在土中和空气中的动态平衡方程。然后，利用相应的边界条件、势函数分解和传递矩阵法，给出了在水平地震输入或系统顶部受到水平动荷载作用时，桩头阻抗的解析表达式。此外，根据桩底在空气中的应力平衡，桩土复合相互作用模型可简化为弹簧阻尼系统。此外，通过与现有方法的比较，验证了本方案（未简化）的合理性，并比较了本方案（未简化）与弹簧阻尼系统（简化）之间的差异。最后，讨论了桩埋入土中和土自由场参数变化对简化模型的影响。研究结果将对桩土相互作用数值模型的简化具有指导意义。

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来源期刊

Soils and Foundations 工程技术-地球科学综合

CiteScore

6.40

自引率

8.10%

发文量

审稿时长

5 months

期刊介绍： Soils and Foundations is one of the leading journals in the field of soil mechanics and geotechnical engineering. It is the official journal of the Japanese Geotechnical Society (JGS)., The journal publishes a variety of original research paper, technical reports, technical notes, as well as the state-of-the-art reports upon invitation by the Editor, in the fields of soil and rock mechanics, geotechnical engineering, and environmental geotechnics. Since the publication of Volume 1, No.1 issue in June 1960, Soils and Foundations will celebrate the 60th anniversary in the year of 2020. Soils and Foundations welcomes theoretical as well as practical work associated with the aforementioned field(s). Case studies that describe the original and interdisciplinary work applicable to geotechnical engineering are particularly encouraged. Discussions to each of the published articles are also welcomed in order to provide an avenue in which opinions of peers may be fed back or exchanged. In providing latest expertise on a specific topic, one issue out of six per year on average was allocated to include selected papers from the International Symposia which were held in Japan as well as overseas.