地震波斜入射下水平成层覆盖层地基波动输入研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (8) : 248-256.

论文

王飞1,2，宋志强2，刘云贺2，李闯2，李正贵1，胡安奎1，田庆3

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Wave input for foundation with horizontal layered overburden under seismic wave oblique incidence

WANG Fei1,2, SONG Zhiqiang2, LIU Yunhe2, LI Chuang2, LI Zhenggui1, HU Ankui1, TIAN Qing3

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文章历史 +

摘要

覆盖层具有土体动力非线性和结构成层特征，地震波斜入射下覆盖层地基自由场计算难度增大、人工边界吸能能力受到限制，制约了地震波动输入精度和应用。本文以水平成层覆盖层为研究对象，引入势函数理论，构建了地震波斜入射下顶层幅值矩阵与任意层幅值矩阵之间的动态传递关系，获得土体时域应变；基于二维应变状态理论，采用等效线性化法反映土体动力非线性，建立了地震波斜入射下非线性水平成层覆盖层地基自由场解析计算方法。利用作者发展的非线性黏弹性人工边界单元模拟远域辐射阻尼效应，近场波动分析中边界单元参数随内层土体单元动剪应变变化，边界单元吸能能力达到最优。结合解析自由场转换得到的等效输入荷载，建立了适用于地震波斜入射下非线性水平成层覆盖层地基地震波动输入方法。该方法能够依据深部斜入射波和地表地震动实现覆盖层地基波动输入，依据地表地震动实现波动输入是避免了通过基底地震动正演自由场等过程。研究了弹性水平双层和非线性水平多层覆盖层地基地震响应，结果表明：波动输入计算获得位移和应力均与解析解有较高拟合度，计算精度高，可为水平成层覆盖层地基上土石坝地震响应研究提供基础。

Abstract

The overburden has the characteristics of soil dynamic nonlinearity and structural layering, which increases the difficulty of free field calculation of foundation with overburden under seismic wave oblique incidence and affects the energy absorption capacity of artificial boundary. They restrict the accuracy and application of seismic wave input. The horizontal layered overburden is taken as the research object, the potential function theory is introduced, the dynamic transitive relation between the amplitude matrix of the top layer and the amplitude matrix of any layer is constructed under seismic wave oblique incidence, and the time domain strain of soil is calculated. Based on the two-dimensional strain state theory, the equivalent linearization method is used to reflect the dynamic nonlinearity of soil, the analytical calculation method for the free field of foundation with nonlinear horizontal layered overburden under seismic wave oblique incidence is established. Then, the nonlinear viscoelasticity artificial boundary element developed by the authors is used to simulate the radiation damping effect of the overburden. In near-field wave analysis, the boundary element parameters change with the dynamic shear strain of the inner soil element, the boundary element has the optimal energy absorption ability. Finally, combined with the equivalent input load obtained from the analytical free field, a seismic wave input method suitable for the foundation with nonlinear horizontal layered overburden under seismic wave oblique incidence is established. This method can achieve wave input for the overburden layer foundation based on the oblique incident waves at deep and surface ground motion. The implementation of wave input based on surface ground motion avoids the process of forward modeling free field through base ground motion. The seismic responses of foundations with elastic horizontal double layers and nonlinear horizontal multiple layers overburden are studied. The results show that the displacements and stresses obtained by wave input have a high degree of fit with the analytical solutions, and the calculation accuracy is high, it can provide a basis for the study of seismic response of embankment dam on the foundation with horizontal layered overburden.

导出引用

王飞1,2，宋志强2，刘云贺2，李闯2，李正贵1，胡安奎1，田庆3. 地震波斜入射下水平成层覆盖层地基波动输入研究[J]. 振动与冲击, 2024, 43(8): 248-256

WANG Fei1,2, SONG Zhiqiang2, LIU Yunhe2, LI Chuang2, LI Zhenggui1, HU Ankui1, TIAN Qing3. Wave input for foundation with horizontal layered overburden under seismic wave oblique incidence[J]. Journal of Vibration and Shock, 2024, 43(8): 248-256

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