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Dynamic response of foundations resting on layered soil by cone model

机译:圆锥模型在层状地基上的动力响应

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摘要

Impedance functions for a rigid massless circular foundation resting on a soil layer underlain by a rigid base subjected to vertical harmonic excitation are found using one-dimensional wave propagation in cones. The static stiffness predicted by the model for different depths of layer agrees well with published results. The frequency-amplitude response of a foundation is then found using impedance functions. The predicted resonant frequency is compared with published results based on both analytical and experimental investigation, which shows a good engineering accuracy (deviation of +- 12%) with a vast variation of parameters. The predicted frequency-amplitude response and resonant amplitudes are also compared with reported experimental results, which shows a good agreement. Also the influence of key parameters such as mass ratio, Poisson's ratio, depth of the layer and hysteretic material damping ratio on the vertical response of the foundation is investigated. The results are presented in the form of simple and versatile dimensionless graphs, which may prove to be useful in understanding the harmonic response of foundations resting on layered soil under vertical excitation.
机译:使用圆锥中的一维波传播,发现了一个刚性无质量的圆形基础的阻抗函数,该圆形基础位于一个承受垂直谐波激励的刚性基底下的土壤层上。该模型针对不同层深度预测的静态刚度与已发表的结果非常吻合。然后,使用阻抗函数找到基础的频率-幅度响应。基于分析和实验研究,将预测的谐振频率与已发布的结果进行比较,结果显示出良好的工程精度(偏差为+-12%),并且参数变化很大。还将预测的频率-幅度响应和共振幅度与已报道的实验结果进行了比较,显示出很好的一致性。还研究了诸如质量比,泊松比,层深和滞后材料阻尼比等关键参数对地基竖向响应的影响。结果以简单和通用的无量纲图的形式呈现,这可能有助于理解竖向激励下搁置在层状土壤上的地基的谐响应。

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