斜坡失稳及其启程速度的折迭突变模型  

Fold Catastrophe Model of Slope Destabilization and Its Starting Velocity

作　　者：王志强[1] 吴敏应[1] 潘岳[1] 

机构地区：[1]青岛理工大学管理学院,山东青岛266520

出　　处：《中国矿业大学学报》2009年第2期175-181,共7页Journal of China University of Mining & Technology

基　　金：山东省自然科学基金项目(Y2005-A03);山东省教委重点资助项目(G04D15)

摘　　要：临滑斜坡内聚集了巨大剪切形变能,坡体临滑释放的形变能大于滑带岩体破裂、贯通所需能量的部分,将转变成滑体弹冲剧发的动能.将坡体视为变形体,计算了重力作用下简化坡体模型的剪切形变能,计入滑带厚度,建立斜坡失稳的折迭突变模型,对滑体启动方式进行分析.研究表明,当坡体剪切刚度k小于滑带锁固段岩体抗剪力曲线软化段拐点处刚度|Q′(ut)|,即系统刚度比K=-Q′k(ut)<1时,滑动为剧动式滑坡.给出了滑体弹冲的动能表达式,由此得到的滑体弹冲剧发速度、加速度关系表明,滑体的启程弹冲效应与滑体规模成反比,给出剧动式滑体启程速度的算例.用格林公式证明了临滑坡体剪切形变能释放量,可以用折迭突变模型中的几何图形来表示.当参数变化使系统刚度比K=-Q′k(ut)≥1时,所建立的突变模型可以对缓动式滑坡进行描述.Mass shear deformation energy was accumulated in slope before sliding, and the part of shear deformation energy which was more than the energy needed to make sliding bond bursts and then interpenetrates would turn into kinetic energy of sliding body with acute starting and elastic impulse. By considering the sliding body as deformable body, the shear deformation energy of simplified model was calculated when it＇s on the act of gravity. Taking into account the thickness of the sliding body, the fold catastrophe model of slope destabilization was built to analyze the starting mode of the sliding body. The result study indicates that the sliding body occurs in acute landslide when shear stiffness of the sliding body is smaller than the stiffness ｜Q′（ut）｜ which locked segment rock of sliding bond has on the inflection point of soltening curve of shearing force,i, e. stiffness ratio of system K=-Q′k（ut）〈1. The expression between kinetic energy of elastic impulse is given, and on this basis the obtained relations of elastic impulse velocity and acceleration of the sliding body indicate that the elastic impulse effect is inversely proportional to the scale of the sliding body. A calculation example of the starting velocity for acute landslide is given. It is proved that the releasing amount of shear deformation energy of the sliding body can be expressed by geometrical figure of catastrophe model by using Green formula. The built catastrophe model can be used to describe slow landslide when.system parameters are changed to make stiffness ratio of system K=-Q′k（ut）≥1.

关 键 词：剧动式滑坡 缓动式滑坡 折迭突变 形变能释放 弹冲效应 启程速度 

分 类 号：TU457[建筑科学—岩土工程]