Simplified calculation method of soil vertical displacement under dynamic compaction

According to the relationship between stress boundary time-history and speed boundary time-history in dynamic analysis, stress time-history of dynamic boundary condition is transformed into speed time-history. A new method to calculate soil vertical displacement is proposed, for which simplified and multi-angle comparison study is done. On the basis of stress and vertical displacement calculation in Qian Jiahuan's model, sine load and triangular load forms are introduced; and two simplified calculation methods of vertical displacement are derived. Two methods are clear and simple and the same, except the difference in coefficients. The engineering example shows the vertical displacements calculated by two methods are close to the measured displacements, but the displacement method under the sine load is better to reflect the actual situation.