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A Simple Model for Vertical Dynamic Interactions among a Group of Strip Footings Rested on Homogeneous Half-Space

机译:均质半空间上一组带状地基之间垂直动态相互作用的简单模型

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A simple model for vertical dynamic interactions among a group of strip footings rested on half-space is presented in this paper. An analytical method is presented to obtain the contact pressures and the impedance matrix for a group of surface strip footings. In order to conveniently solve the unknown contact pressures between the soil and footings, the soil-footing interfaces are discretized into a series of strip elements. The Green function for each element under uniform harmonic force is derived and calculated by the piecewise integration and Cauchy principal value integral. The influences of footing and soil parameters on contact pressures and vertical dynamic impedances of footing groups are discussed in detail. The SSSI effect between adjacent footings increases with the decrease of the distance ratio S/L. For three footings in a group, the middle footing experiences greater cross-interactional effect than the side ones. The present method has high accuracy, which is not only simple but also suitable for the high-frequency analysis.
机译:本文提出了一个简单的模型,用于在半空间上放置的一组带状基础之间的垂直动力相互作用。提出了一种分析方法来获得一组表面条形基础的接触压力和阻抗矩阵。为了方便地解决土壤与基础之间未知的接触压力,将土壤基础界面离散为一系列条形元素。通过分段积分和柯西主值积分,推导并计算出均匀谐和力下每个单元的格林函数。详细讨论了立足和土壤参数对立足组接触压力和垂直动态阻抗的影响。相邻基础之间的SSSI效果随着距离比S / L的减小而增加。对于一组中的三个基础,中间基础比侧面具有更大的交叉交互作用。本方法具有很高的准确性,不仅简单,而且适用于高频分析。

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