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基于Copula函数的循环荷载作用下地基沉降分析
Evaluation of foundation settlement under cyclic loading by using Copula function

作  者: (冯登); (王俊杰); (王鹏); (付泓锐);

机构地区: 重庆交通大学国家内河航道整治工程技术研究中心,重庆400074 重庆交通大学水利水运工程教育部重点实验室,重庆400074 重庆交通大学重庆市高校水工建筑物诊断技术与设备工程研究中心,重庆400074

出  处: 《中国科技论文》 2017年第13期1531-1536,共6页

摘  要: 对基于Copula函数的抗剪强度参数联合分布模型和循环荷载对地基沉降系统失效概率的影响规律进行研究,并利用ABAQUS有限元模拟了循环荷载作用下地基沉降规律,对所提方法的有效性进行验证。提出了循环荷载作用下的地基沉降系统失效概率模型,将该方法应用到重庆市金佛山溢洪道工程实例中。结果表明:抗剪强度参数间相关性和循环荷载作用下的Copula函数类型对地基沉降有很重要的影响,不同Copula函数所计算得到的地基沉降系统失稳概率有很大差别,这种差别随溢洪道覆盖层抗剪强度参数间负相关性的增大而增大、随抗剪强度参数间变异系数的减小而增大、随溢洪道水位线的增加而减小、与循环荷载的次数基本无关。建立有限元分析模型,对循环荷载作用下的地基沉降进行分析,得到了每次循环荷载作用下的地基沉降值和地基沉降差,沉降值和沉降差的变化随着循环荷载次数的增加逐渐减小。计算结果表明,Copula函数的循环荷载作用下的地基沉降分析能够很好地反映地基沉降变化和系统失效概率,可为地基沉降分析提供有效的参考。 This paper aims to study the influence of the Copulas function for modeling the dependence structure between shear strength parameters and cyclic load on foundation settlement. The finite element software ABAQUS was used to simulate the foundation settlement under cyclic loading. The analysis method was verified. The foundation settlement model of probabilities failure under cyclic loading was introduced. The Chongqing Jingfoshan spillway was selected as the case study. The results showed that the Copula function style of shear strength parameter correlation has a great influence on foundation settlement. The foundation settlement model of probabilities failure has a great difference in different Copula functions. The difference was ampli-fied when the negative correlation of shear strength parameter was enlarged. The difference was also amplified when the coeffi-cient of variation of shear strength parameter was decreased and when the ground water was increased. But the difference was ba-sically changed when the number of cyclic load was increased. The foundation settlement was analyzed under cyclic load by con-structing finite element model. The results showed that the value of foundation settlement and the difference of foundation settle-ment under each cyclic loading. The variations will decrease when the frequency of cyclic load was increased. The foundation set-tlement analysis under cyclic loading based on Copula function can reflect the variation of foundation settlement and system proba-bility of failure, which can provide effective reference for foundation settlement analysis.

关 键 词: 地基沉降 循环荷载 函数 有限元模拟 重庆市金佛山溢洪道

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