论文部分内容阅读
为了研究岩体在水平力(N)和垂直力(P)作用下运动的稳定性问题,本文对简化的岩体系统建立了突变理论模型,用以定量描述引起运动失稳的应力条件.文中导出了系统的总势能函数表达式,证明了该系统可由 CUSP 型突变模型描述,确定了N-P 控制空间中使系统失去稳定平衡的分叉集 B.得到的主要结果是:对 N-P 控制空间中使岩体运动保持稳定平衡和失稳的区域进行了划分;分析了作用力的渐变导致状态突变的过程,和点(N,P)在控制空间的运动途径对岩体运动稳定性的影响;讨论了势能发生突变时,所要求的应力变化量级.并根据这些初步结果,讨论了地震过程的某些现象.
In order to study the stability of rock mass under the action of horizontal force (N) and vertical force (P), a sudden change theory model is established for the simplified rock mass system to quantitatively describe the stress conditions that cause the instability of the rock mass. The expression of the total potential energy function of the system is derived. It is proved that this system can be described by the catastrophe model CUSP, and the bifurcation set B which makes the system lose stable equilibrium in NP control space is determined. The main results obtained are as follows: The division of the rock mass with stable equilibrium and instability is analyzed. The process of the sudden change of the force and the influence of the movement path of the point (N, P) in the control space on the stability of the rock mass are analyzed. In the event of a sudden change in potential energy, the order of magnitude of stress change is required, and based on these preliminary results, some phenomena of the seismic process are discussed.