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Interval arithmetic operations for uncertainty analysis with correlated interval variables
  • ISSN号:0567-7718
  • 期刊名称:Acta Mechanica Sinica
  • 时间:0
  • 页码:-
  • 分类:TP301.6[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术] TB114.2[理学—运筹学与控制论;理学—概率论与数理统计;理学—数学;理学—应用数学]
  • 作者机构:State Key Laboratory of Advanced Design and Manufacturingfor Vehicle Body, College of Mechanical and VehicleEngineering, Hunan University, Chang s ha 410082, China
  • 相关基金:Acknowledgments This work was supported by the National Natural Science Foundation for Excellent Young Scholars (Grant 51222502), the National Natural Science Foundation of China (Grant 11172096), and the Funds for State Key Laboratory of Construction Machinery (SKLCM2014-1).
  • 相关项目:基于非概率凸集模型的汽车碰撞安全不确定性分析与可靠性优化
中文摘要:

一个新间隔算术方法被建议与在间隔分析存在的 overestimation 问题能显著地通过被减轻的相关间隔解决间隔功能。在间隔参数之间的关联被方便在一个统一框架描述关联词和独立间隔变量的多维的平行六面体模型定义。没有关联,然后在原来的变量之间的关系,有关联的原来的间隔变量被转变成标准空间,标准间隔变量被获得。四基本间隔算术操作的表达式,也就是增加,减法,增加,和分割,在标准空格被给。最后,几个数字例子和一个二拍子的圆舞酒吧被用来表明建议方法的有效性。

英文摘要:

A new interval arithmetic method is proposed to solve interval functions with correlated intervals through which the overestimation problem existing in interval analysis could be significantly alleviated. The correlation between interval parameters is defined by the multidimensional parallelepiped 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 addition, 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.

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期刊信息
  • 《力学学报:英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编:卢天健
  • 地址:北京市海淀区北四环西路15号
  • 邮编:100190
  • 邮箱:actams@cstam.org.cn
  • 电话:010-62536271
  • 国际标准刊号:ISSN:0567-7718
  • 国内统一刊号:ISSN:11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352