基于尖点突变理论的拱坝安全性分析  

Analysis of Safety Degree of Arch Dams Based on Cusp Catastrophe Theory

作　　者：陈迪辉 包腾飞[1,2,3] 金盛杰 钱秋培[1,2,3] 

机构地区：[1]河海大学水文水资源与水利工程科学国家重点实验室,南京210098 [2]河海大学水资源高效利用与工程安全国家工程研究中心,南京210098 [3]河海大学水利水电学院,南京210098

出　　处：《三峡大学学报（自然科学版）》2018年第1期25-28,共4页Journal of China Three Gorges University：Natural Sciences

基　　金：国家重点研发计划(2016YFC0401601);国家自然科学基金资助项目(51579086;51739003;51479054);江苏省杰出青年基金项目(BK20140039);江苏高校优势学科建设工程资助项目(水利工程)(YS11001)

摘　　要：拱坝是空间高次超静定壳体结构,几何形状和边界条件都很复杂,较难确定其安全度.目前利用强度折减法分析拱坝安全性分析方法有三种,有限元数值迭代不收敛判据、特征点位移突变判据、广义塑性应变或等效塑性应变贯通判据.但上述方法主观影响较大.引入尖点突变理论,可以实现拱坝安全度的定量分析.结合三维有限元拱坝模型,利用有限元软件Abaqus计算坝体位移场,基于位移尖点突变模型得出该拱坝整体安全度为5.6,与传统方法得出的结论相一致.An arch dam is a high-order statically indeterminate structure. Its geometry and boundary conditions are complex; so it is difficult to determine the safety degree. At present, there are three criteria for strength reduction finite element method widely used in the arch dam safety degree analysis, i.e. the non-con- vergence criterion of solution, the abruptness eritertion of the displacement at a certain characteristic location and the connectivity criterion of plastic zone. However, all these can be easily affected by subjective influence. By using cusp catastrophe theory, we can analyze the safety degree of arch dam quantitatively. With 3D finite element arch dam model, Abaqus is used to calculate the displacement field. Based on cusp catastrophe model of displacement, the safety degree is 5.6, which is consistent with the result from other methods.

关 键 词：突变理论 安全度 拱坝 强度折减 

分 类 号：TV642[水利工程—水利水电工程]