斜坡失稳的突变模型与混沌机制

针对斜坡平在滑动失稳问题，运用突变理论方法，给出了快速滑坡和慢还滑坡发生的判据，提出了刚度效应失稳新理论，指出刚体极限平衡稳定性评价方法有较大缺陷；根据建立的斜坡演非线性动力学模型，发现外部环境因素的作用一斜坡系统的响应有复杂的非线性关系，当斜坡本身的非线性作用与外部环境因素的作用能力相当时，斜坡化过程会出现混沌现象，其通向混沌之路是通过倍周期分叉实现的。

NONLINEAR CATASTROPHY MODEL OF SLOPE INSTABILITY AND CHAOTIC DYNAMICS MECHANISM OF SLOPE EVOLUTION PROCESS

The judgement formula for high and low speed landslide and a new theory of stiffness\|effectinstability are presented for the instability of planar\|sliding slope by the catastrophe theory.It is pointed out that the limit equilibrium stability analysis method of rigidity body has a lot of defects. The relationship between the action of outside environment and the response of slope system is complicatedly nonlinearaccording to the nonlinear dynamics model of slope evolution built.When the nonlinear action of slope itself is equivalent to the action of outside environment,the evolution process of slope is of chaos phenomenon andits road to chaos is realized with bifurcation of period doublings.