桩、土动力相互作用的简便积分方程法

将桩视为弹性杆件，推导其在轴向和侧向荷载作用下的拉氏空间基本解，应用互等定量分别建立了桩在轴向和侧向动力荷载作用下的积分方程使其离散。对于土域应用了弹性半空间的拉氏空间动力基本解，采用加权残量法建立了土域的积分方程也使其离散，按照土和桩接触面的平衡和相容条件，对桩、土系统建立一组代数方程，则在其接触面和域内任意点的位移和力可以求解，由Ｋｏｉｓｕｍｉ数值求逆的方法可以得到时域的解。

The Simple Integral Equation Method for the Pile and the Soil Dynamic Interaction

In this paper taking the pile as an elastic bar, it has been deduced the foundanental solutions of the pileunder the acion of axial load and lateral load in laplace space. Applying the reciprocal theory, the integral epuaion of the pile under the action of dynamic load is established for axial and lateral direction respectively, and then theequations to be discretized. For the soil region, the dynamic foundamental solution of an elastic half space inLaplace is used. And employing the weighted residual method to stablish the integral equaion of the soilregion.Also it has been discretized. According to the equilibrium and compatibility conditions for the in terface, atransform matrix and the set of equations for pile and soil sysytem have been established. Hence the displacementsand trAntions of in terface and any point in domain can be solved.Then applying the Koisumi numerical inversemethod the solutions of time domain can be obtained.