Interval arithmetic operations for uncertainty analysis with correlated interval variables

Interval arithmetic operations for uncertainty analysis with correlated interval variables

Chao Jiang;Chun-Ming Fu;Bing-Yu Ni;Xu Han

【期刊名称】《力学学报：英文版》 【年(卷),期】2016(032)004

【摘要】A new interval arithmetic method is proposed to solve interval functions with correlated intervals through which the overestimation problem existing in interval analy-sis could be significantly alleviated. The correlation between interval parameters is defined by the multidimensional par-allelepiped model which is convenient to describe the correlative and independent interval variables in a unified framework. The original interval variables with correlation are transformed into the standard space without correlation, and then the relationship between the original variables and the standard interval variables is obtained. The expressions of four basic interval arithmetic operations, namely addi-tion, subtraction, multiplication, and division, are given in the standard space. Finally, several numerical examples and a two-step bar are used to demonstrate the effectiveness of the proposed method. 【总页数】10页(743-752) 【关键词】

【作者】Chao Jiang;Chun-Ming Fu;Bing-Yu Ni;Xu Han

【作者单位】State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China 【正文语种】英文 【中图分类】 【文献来源】

https://www.zhangqiaokeyan.com/academic-journal-cn_acta-mechanica-sinica_thesis/0201251113765.html 【相关文献】

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