模糊数学在有限元模型修正中的应用

有限元模型修正的目标是使计算得到的结构动力特性和实验结果相接近，其解往往不是唯一的，这是一个模糊的因具体问题而异的目标。修正过程中设计变量的选取，约束条件等在很大程度上也是模糊的。本文将模糊数学运用于基于灵敏度分析的有限元模型修正中，利用具有学习能力的算法，使有限元模型修正能合理地解决实际工程问题。

Application of Fuzzy Theory to Finite Element Model Updating

The objective of finite element model updating is to make the computed dynamic properties of a structure close to the experimental results. The solutions are often not unique. The objective is problem dependent, depending on the frequency range of interest, correlation requirements, etc., that is ,the objective is fuzziness associated. On the other hand, the choice of design variables and determination of constraints etc., are also to a large extent of fuzziness: people are often in the vagueness of preference and in the vagueness of consequence. This paper, based on sensitivity analysis, using the algorithm of learning ability, applies the fuzzy set theory to model updating to get reasonable solutions for engineering problems.