基于模糊聚类的网架结构有限元模型修正

Finite Element Model Updating of Spatial Truss Based on Fuzzy Pattern Recognition

为准确地评估网架结构的健康状况,针对网架结构的损伤特点,提出了一种基于模糊模式识别理论的有限元模型修正方法。首先引入节点固结系数的概念,由节点固结系数表示空间网架结构的单元刚度矩阵,建立了结构的动力方程。再根据结构的动力特性建立了标准模糊集合,通过模糊模式识别方法对结构的有限元模型进行修正。最后对一个二层空间平板网架结构进行了数值仿真分析,结果表明,该方法能有效地修正结构的有限元模型,在工程应用中具有一定的实用价值。

To assess the state of health of spatial truss structure accurately,the method proposed in this paper updates the finite element model using the fuzzy pattern recognition according to the damage characteristic of spatial truss structure.First,the element stiffness matrix is established using the joint fixity factor to obtain the dynamical equation of the structure.Second,the dynamical equation is calculated to establish the standard fuzzy set,and the finite element model is updated based on the fuzzy pattern recognition.Finally,the numerical simulation results of a two-story spatial truss structure show that the method can be effectively used to update the finite element model of the spatial truss structure,and have certain practical value in the project application.