中文摘要：

对岩溶区溶洞顶板稳定性常用计算方法进行分析。在此基础上,根据岩溶区路基溶洞顶板工程特点及溶洞顶板受力特性,建立岩溶区路基的力学模型。并引进突变理论,通过建立相应能量势函数和分叉集方程,导出岩溶区路基承载力及其下伏溶洞顶板安全厚度确定的尖点突变模型,结合岩溶区路基下伏溶洞顶板失稳破坏条件,由此提出了岩溶区路基下伏溶洞顶板安全厚度的确定方法。通过工程实例对本文方法进行验证。结果表明,该方法能满足工程要求,具有一定的理论价值与工程实用价值。

英文摘要：

The normal methods for cave roof stability in karst area were analyzed. According to the engineering features mechanics performance of subgrade karst roof in karst region, the calculate model was established Based on the catastrophe theory, by creating the corresponding energy function and Bifurcation equation, the cusp catastrophe model of cave roof safe thickness in karst region was derived. Combined with the necessary instability conditions of cave roof, the determining methods of safe thickness of cave roof were proposed. In order to verify the feasibility of this method, an engineering case is studied. The result show that, the method proposed in this paper can meet the requirements of engineering, and has a certain practical value.