低应变瞬态荷载作用下基桩动力响应解析解

目前广泛采用的基桩低应变检测问题的理论基础是基于平截面假定的一维应力波理论。而实际上，锤击产生的应力波是三维应力波，不仅沿桩身纵向传播，还沿径向传播，对于基桩低应变检测问题平截面假定实际上是不成立的。此时，一维纵波传播问题转换为应力波沿三维柱体传播问题。文章从基桩三维理论出发，忽略桩土径向位移，考虑桩体中应力波沿纵向和径向传播与桩土的相互作用，建立三维条件下桩土系统瞬态振动计算模型，推导得到低应变瞬态荷载作用下基桩三维动力响应的解析解，以期为基桩低应变检测提供新的理论指导。

Simplified analytical solution for the dynamic response of piles #br# subjected to low strain transient loadings

The low-strain integrity test of piles is commonly based on one-dimensional wave propagation theoryIn practice, the waves generated by the hammer impact on the pile head are three-dimensional, because they propagate not only in the vertical direction, but also in the radial direction, so that the plane cross-section assumption may not holdConsequently, the problem of one-dimensional wave propagation shall be regarded as the wave propagation problem in three-dimensional cylinder.In this work, an analytical model for the dynamic response of a pile with its head subjected to the low-strain impact load is presented, considering the propagation of waves in the vertical and radial directions as well as the soil-pile interaction.Furthermore, the analytical solution for the three-dimensional dynamic response of pile in low-strain integrity test is derived, providing new theoretical guidance for the dynamic testing of piles.