基于单源模糊数的模糊 有限元方程的解法
ANew Solution to Structural Fuzzy Finite Element Equations Based onMonosource Fuzziness
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摘要: 在单源模糊数情况下,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大量的工作量,而且更利于工程技术人员对于该结构的分析和研究。Abstract: Considering that a fuzzy number can be decomposed into a real number and a unit fuzzy number under the monosource of fuzziness, a newmethod to solve fuzzy 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 the 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 calculatingwork 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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Key words:
- fuzzy numbers /
- finite elements /
- structures
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