I am working on calculating the dynamic response of inclined pile foundation under machine vibration, for that I have to calculate the stiffness and damping of the soil-pile system. what Is the procedure for calculating the same.?
I'm sorry for that answer, but I think that best you can do is to measure the stiffness instead of looking for calculation procedure. No matter how precise is your model, the result will always be highly dependent on site conditions and execution of piling works.
Jaroslaw Rybak thanks for the answer. I have Experimentally calculated the dynamic response of The pile foundation but we finding stiffness of the foundation experimentally is a difficult task. Can you suggest some methods for the same?
A simple analytical solution is to develop a computational dynamic response of rigidly-capped pile (fixed at top of pile or 6D under seabed as a fixed support, D represents the diameter of pile when you do not enough information about the soil, you may use other formulas when you have enough information about soil conditions) considering the soil-pile interaction. The method introduces some physical approximations and considers the interference of cylindrical wave fields originating along each pile shaft and spreading radially outward. Axial, lateral, and rocking oscillations of rigidly-capped piles are studied parametrically. Results can be presented for the dynamic stiffness and damping of the pile. The predictions of the simple method for vertical and rocking oscillations compare extremely well with rigorous numerical solutions, thereby offering a valuable insight into the nature of soil-pile interaction. Another simplified but accurate method can be employing an equivalent vertical pile. In this way you use a vertical pile with the same diameter and a length equivalent to the protection of the inclined pile in vertical direction and you should consider horizontal equivalent projected soil pressures. This is an accepted method in design and is recommended by some codes like API.