| 模糊随机结构屈曲问题的区间有限元法 |
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| 引用本文： | 刘长虹,陈虬.模糊随机结构屈曲问题的区间有限元法[J].工程力学,2004,21(1):52-55. |
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| 作者姓名： | 刘长虹 陈虬 |
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| 作者单位： | 西南交通大学应用力学与工程系,成都,610031 |
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| 基金项目： | 国家自然科学和中国工程物理院联合基金资助项目(10076014)，西南交大校基金资助项目(2002B08) |
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| 摘 要： | 利用可靠度理论中的置信区间和模糊集理论中的λ截集方法,可以把结构中的随机参数和模糊参数转化为区间数。这时模糊随机有限元平衡方程转化为区间方程组,因此利用区间运算方法或蒙特卡洛直接抽样法可以求解模糊随机结构屈曲问题,并且得到一个区间解。如果结合结构稳定性理论,在某些特定的情况下,其计算量与求解一个相应的确定性问题有限元法的计算量相当。
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| 关 键 词： | 有限元法 模糊随机结构 区间数 屈曲 |
| 文章编号： | 1000-4750(2004)01-0052-04 |
AN INTERVAL FINITE ELEMENT METHOD FOR BUCKLING ANALYSIS OF FUZZY-STOCHASTIC STRUCTURES |
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| LIU Chang-hong,CHEN Qiu.AN INTERVAL FINITE ELEMENT METHOD FOR BUCKLING ANALYSIS OF FUZZY-STOCHASTIC STRUCTURES[J].Engineering Mechanics,2004,21(1):52-55. |
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| Authors: | LIU Chang-hong CHEN Qiu |
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| Abstract: | Based on the confidence interval of the reliability and the λ-level cutting of the fuzzy set, the parameters of the stochastic and/or fuzzy is mapped onto interval numbers, and fuzzy-stochastic finite element equations are transformed into interval equations. With the interval operation method or the Monte-Carlo (M-C) simulating method, a solution to buckling problems for fuzzy-stochastic structures is put forward. The beam element model of the fuzzy-stochastic buckling structures is discussed. In combination with the structural stability theory, the effort of solution is nearly as the same as that of the general finite element method for determinant problems. |
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| Keywords: | finite element method fuzzy-stochastic structure interval number buckling |
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