隧道变形失稳过程的非线性动力学分析与破坏判据研究  

Failure criterion and deformation instability evaluation analysis of a tunnel by nonlinear dynamics

作　　者：刘镇[1,2] 周翠英[1,2] 房明[1,2] 

机构地区：[1]中山大学工学院,广州510275 [2]中山大学岩土工程与信息技术研究中心,广州510275

出　　处：《岩土力学》2010年第12期3887-3893,共7页Rock and Soil Mechanics

基　　金：国家自然科学基金重点项目(No.41030747);国家863高技术计划项目(No.2007AA11Z112);教育部博士学科点基金项目(No.20090171110044);广东省自然科学基金重点项目(No.06104932);广东省科技计划项目(No.2010A030200007);广东省高层次人才计划项目;广州市科技支撑计划项目

摘　　要：隧道变形失稳过程与破坏判据研究是地下工程的热点与难点之一。运用协同学与混沌动力学,分析了隧道变形失稳过程的非线性动力学演化特征,并将其划分为平衡、非平衡线性、非平衡非线性等3个演化阶段;从系统分析的角度,研究了整个隧道系统的涨落关联机制,建立了隧道变形失稳的动力学演化模型。在此基础上,分别给出了大数据量(≥3000)与小数据量(<3000)条件下稳定性演化过程的动力学判别准则。结合隧道变形失稳的阶段性特征,建立了其破坏的混沌动力学判据。将以上研究应用于广州地铁某立体交叉隧道的稳定性分析中,验证了该动力学演化模型与判据的合理可靠性,对隧道稳定性状态的判别具有一定指导意义。Research on failure criterion and evolution process of deformation instability of tunnels has been one of the hot issues and difficulties in underground engineering field. Based on the synergetic theory and chaotic dynamics, different stages of tunnel excavation and nonlinear dynamics evolution characteristics for the whole process of deformation failure on surrounding rocks are presented. The whole process is divided into three stages as equilibrium stage, nonequilibrium-linear stage and nonequilibrium- nonlinear stage. The fluctuation correlation mechanism of the whole tunnel system is revealed by systematical analysis; and then the nonlinear dynamic evolution model is established. By combining the practice project with the length of time sequence for general deformation monitoring data as well as the effective analysis by chaotic dynamics, the dynamical criterion of the stability evolution process of the tunnel system is conducted separately under different data sequence lengths （more than 3 000 and less than 3 000）. According to unstable and failure features of each evaluating stage of the tunnel system, the dynamic criterion is proposed. This criterion is employed to get a stability judgment of an overlapped tunnel in Guangzhou metro, of which reasonability and reliability are testified. This research has a great significance for the stability judgment of the surrounding rocks of tunnels.

关 键 词：隧道 变形失稳 非线性动力学 演化模型 破坏判据 

分 类 号：U455[建筑科学—桥梁与隧道工程]