摘要
针对边坡失稳的突变问题,运用混沌理论,建立系统的尖点突变模型,并运用庞加莱映射法、李亚普诺夫指数法、分形维数法等多种方法来预测系统是否处于混沌。分析发现:外部环境因素的变化、滑坡面上软弱夹层介质的弹性区段与应变弱化区段的本构曲线拐点处的刚度比的变化、降雨量等因素的变化作为边坡系统的非线性扰动因素与边坡稳定性的响应会表现出复杂的非线性混沌关系。这种突变和混沌的非线性现象出现的条件分别是边坡发生突变性滑坡的突发因素和积累演化因素的表像。它对认识边坡突发性滑坡突变机理和突变累积性演化机理,并进一步预测、防治并控制滑坡有重要的意义。
According to the catastrophe of instability of slope, the strange point catastrophe model of the slope system is set up by using the chaotic theory and it is forecast whether the system is chaos by using some methods such as pointcare reflection method, lyapunov exponent method and fractal dimension method, etc,. From the study, there is a complex non-linear chaotic relationship between changes, as the non-linear disturbance factors of the slope system, and the response of slope stability. The changes include the changes of exterior conditions, the changes of the stiffness ratio, the inflexion between the stiffness of elastic region and that of strain softening region on the constitutive curve of the medium in the soft stratum layer, and the changes of amount of precipitation. The conditions of the non-linear phenomenon of catastrophe and chaos are the displaying of sudden factors and accumulated factors for the contigent landslip. It is helpful to recognize the catastrophe mechanism of sudden-landslip, the evolutionary mechanism of catastrophe accumulation and then to forecast, prevent and cure the landslip.
出处
《土工基础》
2008年第1期64-67,85,共5页
Soil Engineering and Foundation
关键词
非线性动力学
混沌演化
庞加映射
李亚普诺夫指数
non-linear dynamics, chaotic evolution, poincare reflection, lyapunov exponent
