| 基于聚类椭球模型的不确定性传播分析 |
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| 引用本文： | 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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| 作者姓名： | 刘浩 杨开云 张德权 |
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| 作者单位： | 广东美的暖通设备有限公司, 佛山 538311;湖南大学 机械与运载工程学院, 长沙 410082,湖南大学 机械与运载工程学院, 长沙 410082,湖南大学 机械与运载工程学院, 长沙 410082 |
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| 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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| 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。
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| 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 |
| 收稿时间： | 2017/3/8 0:00:00 |
| 修稿时间： | 2017/7/6 0:00:00 |
Uncertain propagation based on the Cluster-Ellipsoid model |
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| LIU Hao,YANG Kai-yun,ZHANG De-quan.Uncertain propagation based on the Cluster-Ellipsoid model[J].Chinese Journal of Computational Mechanics,2018,35(4):431-436. |
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| Authors: | LIU Hao YANG Kai-yun ZHANG De-quan |
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| Institution: | GD Midea Heating & Ventilating Euqipment Co., Foshan 538311, China;School of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China,School of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China and School of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China |
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| Abstract: | 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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| Keywords: | uncertain propagation Cluster-Ellipsoid model performance measure approach Monte Carlo simulation |
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