中文摘要：

在这篇论文，为与起始的排水量分析动态反应到堆积的大变丑的一个非线性的数学模型第一与弧坐标被建立，并且它是一套非线性的积分微分的方程，在里面它， Winkeler 模型被用来模仿土壤的抵抗到堆积。第二，一套新辅助功能被介绍。微分积分的方程被转变成一套非线性的微分方程，并且微分照方法(DQM ) 和有限差别方法(频分多路复用) 被用于 discretize 非线性的方程在的集合空间并且时间领域分别地。然后， Newton-Raphson 方法被用来解决 discretization 的集合代数学的方程在每次走。最后，数字例子被举，并且对堆积的变丑的动态回答包括配置，把时刻弄弯并且砍力量，图形地被照亮。在计算，起始的排水量和动态负担的二种类型被使用，并且堆积的动态回答上的参数的效果详细被分析。

英文摘要：

In this paper, a nonlinear mathematical model for analyzing dynamical response to the large deformation of piles with initial displacements is firstly established with the arc-coordinate, and it is a set of nonlinear integral-differential equa- tions, in which, the Winkeler model is used to simulate the resistance of the soil to the pile. Secondly, a set of new auxiliary functions are introduced. The differential-integral equations are transformed into a set of nonlinear differential equations, and the differential quadrature method （DQM） and the finite difference method （FDM） are applied to discretize the set of nonlinear equations in the spatial and time domains, respectively. Then, the Newton-Raphson method is used to solve the set of discretization algebraic equations at each time step. Finally, numerical examples are presented, and the dynamical re- sponses to the deformation of piles, including configuration, bending moment and shear force, are graphically illuminated. In calculation, two types of initial displacements and dynamical loads are applied, and the effects of parameters on the dynamical responses of piles are analyzed in detail.