Abstract
The aim of this research is to calculate the vertical amplitude for pile foundations subjected to dynamic machine loading using a theoretical analysis based on some special formulus. The effect of each of machine frequency, pile length and diameter and embedded depth of pile cap on the vertical amplitude of the pile were studied. It was found that generally, by increasing the pile diameter, pile length, and embedment ratio of pile cap, the maximum vertical amplitude of group pile-cap system decreases. It can also be observed that the ratio of operating machine to natural frequencies (ω/ωn) corresponding to maximum amplitude decreases with increasing of pile diameter, and ratio of pile cap embedment. On the other hand, it can be seen that the damping ratio of the system was increased with increasing pile diameter and ratio of pile cap embedment, while the stiffness of the system increases with increasing pile length.
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