| 基于证据理论和微分演化的结构不确定分析 |
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| 引用本文： | 唐和生,邓立新,胡长远,薛松涛.基于证据理论和微分演化的结构不确定分析[J].同济大学学报(自然科学版),2014,42(3):0325-0330. |
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| 作者姓名： | 唐和生 邓立新 胡长远 薛松涛 |
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| 作者单位： | 同济大学 结构工程与防灾研究所, 上海 200092；同济大学 土木工程防灾国家重点实验室, 上海 200092;中国航天建设集团有限公司, 北京 100071;同济大学 结构工程与防灾研究所, 上海 200092;同济大学 结构工程与防灾研究所, 上海 200092 |
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| 基金项目： | 国家自然科学基金项目（51178337,50708076） |
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| 摘 要： | 采用证据理论作为传统概率理论的替代方法来处理不精确的数据.为了降低基于证据理论不确定量化分析的计算成本,提出了基于微分演化的区间优化算法来计算边界值.以典型桁架结构的偶然不确定和认知不确定问题为例验证所提出方法的准确性和有效性.
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| 关 键 词： | 证据理论 认知不确定 微分演化 不确定分析 桁架结构 |
| 收稿时间： | 2013/4/10 0:00:00 |
| 修稿时间： | 2013/12/2 0:00:00 |
Evidende Theory and Differential Evolution for Uncertainty Quantification of Structures |
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| TANG Hesheng,DENG Lixin,HU Changyuan and XUE Songtao.Evidende Theory and Differential Evolution for Uncertainty Quantification of Structures[J].Journal of Tongji University(Natural Science),2014,42(3):0325-0330. |
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| Authors: | TANG Hesheng DENG Lixin HU Changyuan and XUE Songtao |
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| Institution: | Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China;State Key Laboratory of Disaster Prevention in Civil Engineering, Tongji University, Shanghai 200092, China;China Aerospace Construction Group Co. Ltd., Beijing 100071, China;Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China;Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China |
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| Abstract: | Evidence theory is proposed as an alternative to the classical probability theory to handle the imprecise data situation. In order to alleviate the computational difficulties in the evidence theory based uncertainty quantification (UQ) analysis, a differential evolution based interval optimization for computing bounds method is developed. A typical truss structure with the aleatory and epistemic uncertainties is investigated to demonstrate accuracy and efficiency of the proposed method. |
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| Keywords: | evidence theory epistemic uncertainty differential evolution uncertainty quantification truss structures |
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