上海交通大学学报

上海交通大学学报 >

2022 , Vol. 56 >Issue 4: 431 - 442

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2020.382

船舶海洋与建筑工程

成层广义Gibson地基中桩的水平动力响应

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  • 上海交通大学 船舶海洋与建筑工程学院,上海 200240
邱杰凯(1996-),男,四川省南充市人,硕士生,主要从事土与结构的动力相互作用.

收稿日期: 2020-11-19

  网络出版日期: 2022-05-07

基金资助

国家自然科学基金(51678361)

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Horizontal Dynamic Response of Pile Based on Layered Generalized Gibson Foundation

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  • School of Navy Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2020-11-19

  Online published: 2022-05-07

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摘要

为直接求解桩周土切变模量随深度线性变化情形下的单桩水平动力响应问题,基于成层广义Gibson地基,引入Adomian分解法,提出了一种求解非均质地基中桩水平动力响应的方法.相较于初参数法和传递矩阵法,该方法无需对非均质地基进行离散化处理.与数值方法相比,具有计算成本低、精度高和收敛速度快等优点.通过将本文方法和分层方法、均质地基解析方法、数值方法的计算结果进行对比,验证了本文方法的正确性和合理性.分析了桩底边界条件、地基土参数及桩身长细比对桩水平动力响应的影响.结果表明:在非均质地基中,桩土刚度比是影响桩水平动力响应的重要因素,随着地基土切变模量的增大,桩身水平位移幅值减小且分布趋于平缓.此外,相比于其他参数,土层泊松比和阻尼比对桩的水平动力响应影响较小.

关键词： 成层广义Gibson地基; 非均质地基; Adomian分解法; Novak薄层单元法; 水平动力响应

本文引用格式

邱杰凯, 丁肇伟, 宋春雨, 陈龙珠 . 成层广义Gibson地基中桩的水平动力响应[J]. 上海交通大学学报, 2022 , 56(4) : 431 -442 . DOI: 10.16183/j.cnki.jsjtu.2020.382

Abstract

In order to directly solve the horizontal dynamic response of a single pile under the condition that the shear modulus of the soil around the pile varies linearly with the depth, a method for solving the horizontal dynamic response of piles in nonhomogenous foundation is proposed based on the layered generalized Gibson foundation and the Adomian decomposition method. Compared with the initial parameter method and the transfer matrix method, the proposed method does not need to discretize the nonhomogeneous foundation. Compared with the numerical method, it has the advantages of low computational cost, high accuracy, and fast convergence speed. The correctness and rationality of this method are verified by comparing it with the calculation results of the layered method, the analytical method of homogeneous foundation, and the numerical method. The influence of boundary conditions on the pile bottom, soil parameters, and pile slenderness on the horizontal dynamic response of the pile is investigated. The result show that in nonhomogeneous foundation, the pile-soil elastic modulus ratio is an important factor affecting the horizontal dynamic response of pile. As the shear modulus of soil increases, the amplitude of horizontal displacement of the pile decreases, and the distribution tends to be gentle. In addition, compared with other parameters, Poisson’s ratio and damping ratio of soil have less influence on the horizontal dynamic response of pile.

Key words： layered generalized Gibson foundation; nonhomogeneous foundation; Adomian decomposition method; Novak’s thin layer method; horizontal dynamic response

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