| 刘浩,杨开云,张德权.基于聚类椭球模型的不确定性传播分析[J].计算力学学报,2018,35(4):431~436 |
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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：2017-07-06 |
| DOI：10.7511/jslx20170308001 |
| 中文关键词: 不确定性传播 聚类椭球模型 功能度量法 蒙特卡洛模拟法 |
| 英文关键词:uncertain propagation Cluster-Ellipsoid model performance measure approach Monte Carlo simulation |
| 基金项目:国家自然科学基金（71271078）；湖南大学汽车车身先进设计制造国家重点实验室自主研究课题（51475003）资助项目. |
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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方法的有效性。 |
| 英文摘要: |
| A non-probabilistic uncertainty 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 determined in the several sub-ellipsoid models.And then,the boundaries of the structural response are obtained from all the boundaries of sub-ellipsoid models.Considering the computational accuracy and efficiency in uncertainty propagation,the traditional non-probabilistic uncertainty propagation and the performance-measure-approach-based schemes are introduced to calculate the sub-boundaries of the response in this study.Finally,three numerical examples demonstrate the effectiveness of the proposed method |
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