中文摘要：

在岩石中嵌入的堆积的非线性的动态特征被调查。假定两个都，在堆积附近的堆积和土壤的材料服从非线性的有弹性、线性的粘弹性的组成的关系。管理堆积的动态特征的非线性的部分微分方程首先被导出。Galerkin 方法被用来简化方程并且获得一个非线性的平常的微分方程。在非线性的动力学的方法被采用解决简化动态系统，并且时间路径弄弯阶段轨道图和堆积的运动的混乱图被获得。系统的动态特征上的参数的效果也详细被考虑。

英文摘要：

The nonlinear dynamic characteristics of a pile embedded in a rock were investigated. Suppose that both the materials of the pile and the soil around the pile obey nonlinear elastic and linear viscoelastic constitutive relations. The nonlinear partial differential equation governing the dynamic characteristics of the pile was first derived. The Galerkin method was used to simplify the equation and to obtain a nonlinear ordinary differential equation. The methods in nonlinear dynamics were employed to solve the simplified dynamical system, and the time-path curves, phase-trajectory diagrams, power spectrum, Poincare sections and bifurcation and chaos diagrams of the motion of the pile were obtained. The effects of parameters on the dynamic characteristics of the system were also considered in detail.