基于尖点突变理论的岩溶区嵌岩桩溶洞顶板安全厚度研究  

A study of the safety thickness of cave roof under rock-socketed pile in karst area based on the cusp catastrophe theory

作　　者：梁冠亭 肖开乾 郑宏伟 夏文辉 LIANG Guanting;XIAO Kaiqian;ZHENG Hongwei;XIA Wenhui(Wuhan Municipal Construction Group Co.,Ltd.,Wuhan,Hubei 430056,China;School of Civil Engineering,Wuhan University,Wuhan,Hubei 430072,China)

机构地区：[1]武汉市市政建设集团有限公司,湖北武汉430056 [2]武汉大学土木建筑工程学院,湖北武汉430072

出　　处：《水文地质工程地质》2018年第5期67-72,共6页Hydrogeology & Engineering Geology

基　　金：湖北省交通运输科技项目资助(2016-600-1-11);湖北省建设科技计划项目资助(20160622)

摘　　要：根据岩溶区嵌岩桩的工程特点,对现有的梁板结构进行优化,将岩溶区嵌岩桩与溶洞的结构系统简化为顶板两端受滑动支座约束,且水平向作用地应力的平直梁模型;基于尖点突变理论导出了能量势函数和分叉集方程,建立了岩溶区嵌岩桩尖点突变模型平衡曲面;根据当前岩体水平地应力的研究现状,结合岩溶区嵌岩桩溶洞顶板突变失稳的必要条件和充分条件,推导得到岩溶区嵌岩桩溶洞顶板最小安全厚度的计算公式;通过工程算例对本文方法进行验算,并与现有梁板理论进行对比,结果表明该理论方法合理可行,可为岩溶区嵌岩桩设计提供一定的参考。According to the engineering characteristics of rock-socketed pile in karst areas,the existing beam-slab structure is optimized,the structural system formed by the rock-socketed pile and the cave in the karst areas is simplified as a flat-beam model constrained by the sliding bearing and horizontal stress at both ends of the roof.The energy potential function and bifurcation set equation are derived based on the cusp catastrophe theory,and the equilibrium surface of the cusp catastrophe model under the rock-socketed pile in karst regions is also established.Based on the current research on horizontal stress of rock mass,combined with the necessary condition and sufficient condition of catastrophe instability of the cave roof under rock-socketed pile,calculation formula of the minimum safety thickness of cave roof in karst areas is deduced.The method is verified with an engineering example and compared with the existing beam-slab theory.The results show that the method is reasonable and feasible,and can be used to provide a reference for the design of rock socketed pile in karst areas.

关 键 词：道路工程 岩溶 嵌岩桩 突变理论 安全厚度 

分 类 号：TU457[建筑科学—岩土工程]