Safety thickness analysis of tunnel floor in karst region based on catastrophe theory  

作　　者：YANG Xiao-li XIAO Hai-bo 杨小礼;肖海波(School of Civil Engineering, Central South University)

机构地区：School of Civil Engineering, Central South University, Changsha 410075, China

出　　处：《Journal of Central South University》2016年第9期2364-2372,共9页中南大学学报（英文版）

基　　金：Project(2013CB036004)supported by the National Basic Research Program of China;Project(51378510)supported by the National Natural Science Foundation of China

摘　　要：Based on the tunnel shape, span and depth, the previous elliptical plate model and clamped beam model were modified.The modified model was applied to different situations. For the elliptical plate model, the water effects were considered. For the clamped beam model, water and horizontal stress were considered. Corresponding potential functions and cusp catastrophe models of rock system were established based on the catastrophe theory. The expressions of critical safety thickness were derived with necessary and sufficient conditions. The method was applied to the practical engineering. Some parameters related to the stability were discussed. The results show that elastic modulus and thickness are advantageous to the floor stability, and that the load, span,horizontal stress and water are disadvantageous to the floor stability.Based on the tunnel shape, span and depth, the previous elliptical plate model and clamped beam model were modified. The modified model was applied to different situations. For the elliptical plate model, the water effects were considered. For the clamped beam model, water and horizontal stress were considered. Corresponding potential functions and cusp catastrophe models of rock system were established based on the catastrophe theory. The expressions of critical safety thickness were derived with necessary and sufficient conditions. The method was applied to the practical engineering. Some parameters related to the stability were discussed. The results show that elastic modulus and thickness are advantageous to the floor stability, and that the load, span, horizontal stress and water are disadvantageous to the floor stability.

关 键 词：KARST catastrophe theory safety thickness tunnel floor STABILITY WATER 

分 类 号：U458[建筑科学—桥梁与隧道工程]