关于不确定性问题的非概率凸模型外文.pdfVIP

Applied Mathematical Modelling 59 (2018) 54–85 Contents lists available at ScienceDirect Applied Mathematical Modelling journal homepage: /locate/apm Discussions on non-probabilistic convex modelling for uncertain problems a a,∗ b B.Y. Ni , C. Jiang , Z.L. Huang a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, PR China b School of Mechanical and Electrical Engineering, Hunan City University, Yiyang City 413002, PR China a r t i c l e i n f o a b s t r a c t Article history: Non-probabilistic convex model utilizes a convex set to quantify the uncertainty domain of Received 23 June 2017 uncertain-but-bounded parameters, which is very effective for structural uncertainty anal- Revised 23 December 2017 ysis with limited or poor-quality experimental data. To overcome the complexity and di- Accepted 15 January 2018 versity of the formulations of current convex models, in this paper, a unified framework Available online 2 February 2018 for construction of the non-probabilistic convex models is proposed. By introducing the Keywords: correlation analysis technique, the mathematical expression of a convex model can be Uncertainty analysis