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基于聚类椭球模型的不确定性传播分析
Uncertain propagation based on the cluster ellipsoid model
投稿时间:2017-03-08  修订日期:2017-04-06
DOI:
中文关键词:  不确定性传播  聚类椭球模型  功能度量法  蒙特卡洛模拟
英文关键词:Uncertain Propagation  Cluster-Ellipsoid Model  Performance Measure Approach  Monte Carlo Simulation
基金项目:基于多元贝叶斯与统计约束的质量控制图与设备维护集成优化研究
作者单位E-mail
郭军 广东美的暖通设备有限公司 mdvguojun@midea.com 
刘浩 广东美的暖通设备有限公司  
杨开云 汽车车身先进设计制造国家重点实验室湖南大学机械与运载工程学院  
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中文摘要:
      针对随机结构提出了基于聚类椭球模型的非概率不确定性传播方法。首先将聚类椭球模型分解成多个子椭球模型,然后在各个子椭球模型中求解结构响应的子边界,接着在所有子椭球模型内的子边界中寻优获得响应的边界。考虑到计算精度和效率等问题,引入传统非概率不确定性传播策略和基于功能度量法的传播策略,分别对响应的子边界进行计算。最后,通过数值算例验证了本文提出方法的有效性。
英文摘要:
      A non-probabilistic uncertain propagation scheme was proposed for stochastic structures based on a Cluster-Ellipsoid model. Firstly, the Cluster-Ellipsoid model was decomposed into a series of sub-ellipsoid models. After that, the sub-boundaries of structural response can be solved in the several sub-ellipsoid models. And then, the boundaries of structural response was obtained from all the boundaries of sub-ellipsoid models. Considering the computational accuracy and efficiency in uncertain propagation, the traditional non-probability uncertain propagation and the performance-measure-approach-based schemes were introduced to calculate the sub-boundaries of response in this study. Finally, three numerical examples demonstrate the effectiveness of the proposed method
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