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《Chinese Journal of Computational Mechanics》 2018-04
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Uncertain propagation based on the Cluster-Ellipsoid model

LIU Hao;YANG Kai-yun;ZHANG De-quan;GD Midea Heating & Ventilating Euqipment Co.;School of Mechanical and Vehicle Engineering,Hunan University;  
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 performancemeasure-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
【Fund】: 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
【CateGory Index】: O211;O242.2
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