TIME DOMAIN DYNAMIC ANALYSIS OF SINGLE PILES SUBJECTED TO IMPACT LOADS IN UNSATURATED SOIL
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摘要: 基于非饱和土的动力控制方程,对非饱和土中单桩的水平瞬态响应进行分析。先利用Laplace变换,再对方程进行无量纲化,建立了变换域内非饱和土的水平波动方程,通过分离变量法及算子分解理论得到了Laplace变换域内的位移解;根据桩-土接触面的边界条件求解桩的动力平衡方程,得到变换域内的桩身位移和内力的解析解,再通过Laplace逆变换进行数值计算,分析饱和度、桩-土模量比、冲击荷载持时等对振动特性的影响。结果表明:饱和度对桩身位移和内力有一定影响;且桩-土模量比越大,饱和度的影响越显著;冲击荷载加载时间越长,桩身位移越大,位移峰值到达的时刻越滞后。Abstract: Based on the dynamic governing equations of unsaturated soil, the horizontal transient response of a single pile in unsaturated soil was analyzed. By using the Laplace Transform and method of normalization, the horizontal wave equations of transform domains in unsaturated soil were established. By the method of separation variables and the operator-decomposition theory, the displacement solutions of unsaturated soil in the Laplace Transform Domain were obtained. To solve the soil-pile coupling system, the horizontal vibration equations of pile foundations and the continuity conditions were both adopted, and then the Laplace Transform's expressions of the displacement and internal forces of piles were obtained. By numerical calculation of Laplace's inverse transforms, the effects of the degrees of saturation, pile-soil modulus ratios and load duration on dynamic responses of piles were studied. The results showed that:the degrees of saturation influenced the displacement and internal forces of piles to some extents. The larger pile-soil modulus ratios, the influence of degrees of saturation on piles more significant. The longer the duration of impact loads, the greater the pile displacement, and the more the lag of the peak displacement.
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Key words:
- unsaturated soil /
- horizontal vibration /
- Euler beam /
- time domain
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