Assuming that the pile is an elastic rod, pile axial displacement, u is the vertical coordinates y and time t is a function of two variables, using a second-order partial differential equation to description.
Pile assumed elastic rod, axial displacement U piles longitudinal coordinates Y and function of two variables time T, with a second-order partial differential equations to describe.
If the pile is an elastic rod, the axial displacement of the pile is a function of the two variables of T and the time Y, which is described by a two order partial differential equation.