基于FEM-SVM的大坝可靠度分析方法 |
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引用本文: | 刘海泉,肖 峰,杨晓晓,王 超,刘 彪a. 基于FEM-SVM的大坝可靠度分析方法[J]. 水电能源科学, 2015, 33(10): 43-45 |
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作者姓名: | 刘海泉 肖 峰 杨晓晓 王 超 刘 彪a |
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作者单位: | 1. 河海大学 a. 水利水电学院; b. 水文水资源与水利工程科学国家重点实验室, 江苏 南京 210098; 2. 中国电建 中南勘测设计研究院有限公司, 湖南 长沙 410014 |
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基金项目: | 国家基金委优秀实验室重点项目(41323001);国家自然科学基金项目(51139001,51379068,51179066,51279052,51209077);高等学校博士学科点专项科研基金项目(20120094110005,20120094130003,20130094110010);新世纪优秀人才支持计划资助项目(NCET 11 0628,NCET 10 0359) |
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摘 要: | 为解决复杂大坝可靠度分析计算时难以求得显示的功能函数和传统随机有限元计算时间长、工作量大等问题,提出将有限元(FEM)、支持向量机(SVM)和Monte-Carlo法相结合的可靠度分析方法,即采用正交试验设计具有代表性的样本点,通过有限元计算生成学习样本,利用支持向量机具有解决高度非线性、小样本问题的能力,建立结构响应量和输入变量的映射关系,再利用Monte-Carlo法,结合输入变量的概率分布生成随机样本进行结构可靠度计算。实例计算表明,FEM-SVM分析方法具有较好的精度,同时大幅减少了计算时长和工作量。
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关 键 词: | 有限元; 支持向量机; Monte Carlo法; 可靠度 |
Dam Reliability Analysis Method Based on FEM SVM |
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Abstract: | Aiming at the reliability analysis problems with implicit performance functions of complex dam and reducing the computation time and workload, a reliability analysis method combined with the FEM, support vector machine (SVM) and Monte Carlo was presented. The orthogonal experimental method was used to design the typical samples. The learning samples were generated by the finite element calculating. Then support vector machine which has the ability to solve the problem of highly nonlinearity and small sample was adopted to establish the structural response and the mapping relation of input variables. Combined with the probability distribution of the input variables, random samples were generated by using Monte Carlo method. Finally, the structural reliability was calculated. An engineering example results show that the accuracy was improved and the computing time and effort were reduced by using the proposed method. |
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Keywords: | finite element method support vector machine Monte Carlo reliability |
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