基于Lyapunov理论的运营期地铁隧道沉降稳定性分析  

Stability analysis of settlement of an operational subway tunnel based on Lyapunov theory

作　　者：李支彬[1] 黄腾[1] 李桂华[1] 

机构地区：[1]河海大学地球科学与工程学院,江苏南京210098

出　　处：《河海大学学报（自然科学版）》2012年第4期376-379,共4页Journal of Hohai University(Natural Sciences)

基　　金：江苏省普通高校研究生科研创新计划(CX09B-166Z);国家自然科学基金(50279005)

摘　　要：针对运营期地铁隧道沉降稳定性分析中存在的不足,在Lyapunov理论的基础上,利用主成分分析法,选取地铁隧道沉降的主要影响因素作为地铁隧道沉降系统的状态变量,通过数据反演的方法构建地铁隧道沉降系统的动力学模型,并给出地铁隧道沉降稳定性分析判据。实例计算结果表明,基于Lyapunov理论的运营期地铁隧道沉降稳定性分析方法是合理且可行的,可为类似工程提供参考。Considering the existing shortcomings of stability analysis of settlements of operational subway tunnels, the main factors of Settlement of a subway tunnel were selected as the state variables of the settlement system using the method of principal component analysis based on Lyapunov theory. A dynamic model of the settlement system of the subway tunnel was established using the method of data inversion. The stability criterion of settlement of the subway tunnel was also given. The calculation results of a case study show that the proposed method for stability analysis of settlement of the operational subway tunnel based on Lyapunov theory is reasonable and feasible, and can provide references for similar projects.

关 键 词：地铁隧道 LYAPUNOV理论 动力学模型 沉降稳定性 变形体系统平衡态 

分 类 号：U458.1[建筑科学—桥梁与隧道工程]