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Nonlinear interaction of soil-pile in horizontal vibration

机译：土-桩在水平振动中的非线性相互作用

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This paper presents a new model for analyzing a nonlinear soil-pile interaction subject to horizontal shaking of a vertical circular pile embedded in a soil layer of finite thickness. The pile rests on bedrock with either a pinned or a clamped support. The soil mass is assumed composing of a "semi-nonlinear" inner soil zone around the pile and a linear viscoelastic soil zone outside the inner zone. When the inner soil behaves linearly, the present solutions are identical to those obtained by Nogami and Novak in 1977. Numerical results show that soil resistance of less slender piles developed against the vibration is larger than that of more slender piles. Soil resistance depends more strongly on the size of the nonlinear inner zone when the pile is vibrating at a frequency higher than the natural frequency of the soil. Soil nonlinearity, in general, results in a smaller damping and stiffness of the soil-pile system, except at high frequency. At higher vibration frequency, the situation can be very complicated. The exact value of the dynamic stiffness of the soil-pile system depends on elastic shear wave speed, soil nonlinearity, vibration frequency, slenderness ratio of the pile, magnitude of vibration, and tip conditions of the pile. Generally speaking, the dynamic stiffness is smaller than the static stiffness. The normalized dynamic stiffness for pile with a pinned tip is, in general, larger than that with a clamped tip, while the reverse is true for the damping.
机译：本文提出了一种新模型，用于分析埋入有限厚度土层的垂直圆形桩在水平振动下的非线性土-桩相互作用。桩通过固定的或夹紧的支撑物搁置在基岩上。假定土壤质量由围绕桩的“半非线性”内部土壤区域和内部区域外部的线性粘弹性土壤区域组成。当内部土壤呈线性行为时，目前的解与Nogami和Novak在1977年获得的解相同。数值结果表明，较细的桩对振动的抵抗力大于较细的桩。当桩以高于土壤固有频率的频率振动时，土壤阻力在很大程度上取决于非线性内部区域的大小。通常，土壤非线性会导致桩土系统的阻尼和刚度降低，但高频除外。在较高的振动频率下，情况可能非常复杂。土-桩系统动力刚度的确切值取决于弹性剪切波速度，土的非线性，振动频率，桩的长细比，振动的大小以及桩的尖端条件。一般而言，动态刚度小于静态刚度。通常，带固定尖端的桩的归一化动态刚度要大于带固定尖端的桩的归一化动态刚度，而对于阻尼，则相反。

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