[1]徐伟杰,陈城,陈梦晖,等.回归法在实时混合模拟数值子结构不确定性分析中的应用[J].东南大学学报(自然科学版),2020,50(1):96-100.[doi:10.3969/j.issn.1001-0505.2020.01.013]
　Xu Weijie,Chen Cheng,Chen Menghui,et al.Application of regression method in uncertainty analysis for numerical substructure in real-time hybrid simulation[J].Journal of Southeast University (Natural Science Edition),2020,50(1):96-100.[doi:10.3969/j.issn.1001-0505.2020.01.013]
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回归法在实时混合模拟数值子结构不确定性分析中的应用()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
50
期数:
2020年第1期
页码:
96-100
栏目:
土木工程
出版日期:
2020-01-13

文章信息/Info

Title:
Application of regression method in uncertainty analysis for numerical substructure in real-time hybrid simulation
作者:
徐伟杰1; 陈城2; 陈梦晖1; 郭彤1; 黄亮1; 王燕华1
1东南大学混凝土与预应力混凝土结构教育部重点实验室, 南京 210096; 2山东大学土建与水利学院, 济南 250061
Author(s):
Xu Weijie1;  Chen Cheng2;  Chen Menghui1;  Guo Tong1;  Huang Liang1;  Wang Yanhua1
1Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China
2School of Civil Engineering, Shandong University, Jinan 250061, China
关键词:
实时混合模拟;  不确定性;  数值子结构;  多项式混沌;  时滞
Keywords:
real-time hybrid simulation;  uncertainty;  numerical substructure;  polynomial chaos expansion;  time delay
分类号:
TU317.2
DOI:
10.3969/j.issn.1001-0505.2020.01.013
摘要:
为了分析实时混合模拟试验数值子结构不确定性对试验的影响,采用多项式混沌展开建立不同时滞情况下数值子结构不确定参数与位移最大值的代替模型.多项式混沌展开的系数采用回归法计算,并基于模型误差对多项式混沌模型进行评价.模拟结果表明,时滞和不确定性参数均方差越大,位移最大值的均值和方差越大.当不确定性参数均方差为均值的0.05、0.10和0.20倍时,模型误差的变化范围分别为0.002%~0.02%、0.02%~0.4%和0.5%~5%,说明基于多项式混沌展开的实时混合模拟数值子结构不确定性分析精度受不确定性参数方差的影响.
Abstract:
To analyze the influence of uncertainty of numerical substructures on the experimental results in real-time hybrid simulation, the polynomial chaos expansion was used to establish the alternative model between uncertainty parameters in the numerical substructure under different time delays and maximum displacements. The coefficients of the polynomial chaos expansion were calculated by the regression method, and the polynomial chaos model was evaluated based on the model errors. The simulation results indicate that the mean and the variance of the maximum displacement increase with the increase of the time delay and the stand variance of the uncertainty parameters. The model error varies from 0.002% to 0.02%, 0.02% to 0.4% and 0.5% to 5% when the ratios between the variance and the mean of the uncertainty parameters are 0.05, 0.10 and 0.20, respectively. The accuracy of uncertainty analysis for the numerical substructure in real-time hybrid simulation using polynomial chaos expansion is affected by the variance of the uncertainty parameters.

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备注/Memo

备注/Memo:
收稿日期: 2019-05-23.
作者简介: 徐伟杰(1990—),男,博士,工程师;郭彤(联系人),男,博士,教授,博士生导师,guotong@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(51808111,6505000184)、中央高校基本科研业务专项资金资助项目(2242018K40144).
引用本文: 徐伟杰,陈城,陈梦晖,等.回归法在实时混合模拟数值子结构不确定性分析中的应用[J].东南大学学报(自然科学版),2020,50(1):96-100. DOI:10.3969/j.issn.1001-0505.2020.01.013.
更新日期/Last Update: 2020-01-20