| 基于单源模糊数的模糊有限元方程的解法 |
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| 引用本文： | 刘长虹,陈虬.基于单源模糊数的模糊有限元方程的解法[J].西南交通大学学报,2001,36(1):84-87. |
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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, |
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| 基金项目： | 国家自然科学基金资 助项目（59678039） |
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| 摘 要： | 在单源模糊情况下，一个模糊数可以分解成为一个实数和一个单位模糊数。在求解这类模糊有限元时，可先将模糊因素分离出来，然后再按常规有限元方法求解，最后再处理含有模糊因素的结果。这样做不仅可以减少由于以往先处理模糊因素所需要的工作量，而且更利于工程技术人员对于该结构的分析和研究。
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| 关 键 词： | 结构 单源模糊数 模糊有限元方程 运算规则 刚度矩阵 模糊位移 模糊应力 解法 |
| 文章编号： | 0258-2724（2001）01-0084-04 |
A New Solution to Structural Fuzzy Finite Element Equations Based on Monosource Fuzziness |
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| LIU Chang hong,CHEN Qiu.A New Solution to Structural Fuzzy Finite Element Equations Based on Monosource Fuzziness[J].Journal of Southwest Jiaotong University,2001,36(1):84-87. |
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| Authors: | LIU Chang hong CHEN Qiu |
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| Abstract: | Considering that a fuzzy numb er can be decomposed into a real number and a unit fuzzy number under the monosource of fuzziness, a new method to solve fuzz y finite element equations is presented. The procedure of this method in solving a fuzzy finite element equation is firstly to separate the fuzzy factors from t he problem, then to solve the finite element equation left, and finally to deal with the result with fuzzy factors. Thus, the method not only can greatly reduce calculating work in transforming the fuzzy set into the natural number set, but also can be much greatly convenient for engineers and researchers to study and analyze the structures. |
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| Keywords: | fuzzy numbers finite elements structures |
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