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区间运算和静力区间有限元

郭书祥 吕震宙

郭书祥, 吕震宙. 区间运算和静力区间有限元[J]. 应用数学和力学, 2001, 22(12): 1249-1254.
引用本文: 郭书祥, 吕震宙. 区间运算和静力区间有限元[J]. 应用数学和力学, 2001, 22(12): 1249-1254.
GUO Shu-xiang, LÜ Zhen-zhou. Interval Arithmetic and Static Interval Finite Element Method[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1249-1254.
Citation: GUO Shu-xiang, LÜ Zhen-zhou. Interval Arithmetic and Static Interval Finite Element Method[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1249-1254.

区间运算和静力区间有限元

基金项目: 国家自然科学基金资助项目(5957504059775032)
详细信息
    作者简介:

    郭书祥(1964- ),男,陕西商州人,讲师,博士.

  • 中图分类号: TB115;O242.29

Interval Arithmetic and Static Interval Finite Element Method

  • 摘要: 用均值和离差两参数表征区间变量的不确定性,根据区间运算规则,论证了区间变量的运算特性.将区间分析和有限元方法相结合,提出了非概率不确定结构的一种区间有限元分析方法.将区间有限元静力控制方程中n自由度不确定位移场特征参数的求解归结为求解一2n阶线性方程组.实例分析表明文中方法是有效和可行的.
  • [1] 郭书祥,冯元生,吕震宙.随机有限元方法和结构可靠性[J].力学进展,2000,30(3):343-350.
    [2] 龚勃文, 林赐云. 一种个性化城市多目标最短路径随机优化算法[J]. 中国科技论文, 2016,11(7): 828-834.(GONG Bowen, LIN Ciyun. A stochastic optimization algorithm of the shortest path under multi-criteria for urban roads[J]. China Sciencepaper,2016,11(7): 828-834.(in Chinese))
    [3] Elishakoff I.Essay on uncertainties in elastic and visco elastic s tructures:from A M Freudenthal's criticisms to modern convex modeling[J].Computers & Structures,1995,56(6):871-895.
    [4] Ben-Haim Y,Elishakoff I.Convex Models of Uncertainty in Applied Mechanics[M].Amsterdam:Elsevier Science,1990.
    [5] Ben-Haim Y.Convex models of uncertainty in radial pulse buckling of shells[J].Journal of Applied Mechanics,1993,60(3):683-688.
    [6] Elishakoff I,Elisseeff P,Glegg S A L.Non-probabilistic,convex-theoretic modeling of scatter in material properties[J].AIAA Journal,1994,32(4):843-849.
    [7] Qiu Z,Elishakoff I.Anti-optimization of structures with large uncertain-but-non-random parameters viainterval analysis[J].Computer Methods in Applied Mechanics and Engineering,1998,152(3-4):361-372.
    [8] Koylouglu H U,Cakmak A S,Nielsen S R K.Intervalalgebr a to deal with pattern loading and structural uncertainties[J].Journal of Engineering Mechanics,1995,121(11):1149-1157.
    [9] Rao S S,Berke L.Analysis of uncertain structural system using in terval analysis[J].AIAA Journal,1997,35(4):727-735.
    [10] Alefeld G,Claudio D.The basic properties of interval arithmetric,its software realizations and some applications[J].Computers & Structures,1998,67(1/3):3-8.
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  • 被引次数: 0
出版历程
  • 收稿日期:  1999-04-20
  • 修回日期:  2001-07-03
  • 刊出日期:  2001-12-15

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