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基于突变理论的重力坝失稳判据研究
引用本文:杨硕,孙建生,孙伟.基于突变理论的重力坝失稳判据研究[J].水电能源科学,2014,32(7):66-68,60.
作者姓名:杨硕  孙建生  孙伟
作者单位:太原理工大学 水利科学与工程学院, 山西 太原 030024;太原理工大学 水利科学与工程学院, 山西 太原 030024;太原理工大学 水利科学与工程学院, 山西 太原 030024
摘    要:为研究坝基倾向下游的缓倾角软弱结构面的稳定问题,采用有限元强度折减法,建立了重力坝坝趾夹层处上下两点的相对位移与强度折减系数尖点突变模型,并通过建立模型的标准势函数来比较其判别式与零的大小关系,进而判断重力坝是否失稳。实例应用结果表明,以此模型为失稳判据可以体现重力坝失稳过程的突变性,同时能够将安全系数量化到一个客观具体的数值。

关 键 词:重力坝    失稳判据    强度折减    突变理论

Research of Gravity Dam Instability Criterion Based on Catastrophe Theory
YANG Shuo,SUN Jiansheng and SUN Wei.Research of Gravity Dam Instability Criterion Based on Catastrophe Theory[J].International Journal Hydroelectric Energy,2014,32(7):66-68,60.
Authors:YANG Shuo  SUN Jiansheng and SUN Wei
Affiliation:College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China;College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China;College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China
Abstract:In order to study the dam foundation stability issue that tends to the downstream slow inclination weak structural plane, finite element strength reduction method was used to analyze the stability analysis against deep slide of gravity dam. A cusp catastrophe model of relative displacement between upper and lower points of weak layers at gravity dam toe with strength reduction factor curve was established. Besides, by establishing the standard potential function of model and comparing the magnitude relation between criterion and zero, we can determine stability of the dam. The application results of examples show that regarding this model as instability criterion can reflect the mutagenicity of dam instability process and quantify the safety factor to a specific bjective value.
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