摘要
通过用混沌与分形理论研究边坡变形破坏的演变机理,建立了边坡演变的动力学方程组,通过相空间重构,得出显示边坡系统动态特性的关联维数D2的计算公式.并对边坡变形破坏过程进行了实例分析,编制了相应的Matlab程序,找到了合适的嵌入维数,提取和恢复边坡系统原有的规律.结果表明,分形分维方法为边坡位移预测研究提供了新的途径.
In this paper chaos and fractal theory are used to study the analytic methods of slope deformation destruction. method for deterministic chaos analysis on the process of slope deformation destruction The equations of dynamics for slope evolution are founded. With the reconstruction in phase space,the formulas of relative dimension D2 ,representing the dynamic characteristics of slope,are obtained. And it is analyzed by the real process of slope deformation destruction.It concludes that fractal theory and fractal dimension offer a new way for side slope prediction.
出处
《武汉理工大学学报（交通科学与工程版）》
北大核心
2003年第4期473-476,共4页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
基金
湖北省自然科学基金项目资助 (编号 :2 0 0 1 abb0 87)
关键词
边坡
演变
混沌
分形
slope
evolution
chaos
fractal
