基于静力响应面的结构有限元模型修正方法

Structure Finite Element Model(FEM) Updating Based on Static-load Response Surface Methodology

提出了基于静力响应面的结构有限元模型修正方法。运用响应面方法,将结构静力响应和结构参数之间复杂的隐式关系用显式函数近似表达出来;在此响应面模型(函数)基础上,通过优化计算对结构有限元模型参数进行修正。阐述了基于静力响应面的结构有限元模型修正方法的基本理论和一般实现过程。对两跨连续梁结构的静力模型修正数值算例分析结果表明:基于静力响应面的有限元模型修正方法可以减少结构有限元计算的次数、提高模型修正的优化效率,结构有限元模型修正结果具有可接受的精度。

A method for structure finite element model （FEM） updating based on static-load response surface is presented. Employing response surface method, the complicated implicit relationship between bridge structural static-load responses and structural parameters is approximately represented by the simple explicit function. Based on this response surface model （function）, the structural finite element model parameters can be easily updated by selected optimization procedure. The essential theory and implementation of structural static response surface based finite element model updating are presented in this paper. A numerical example of a two-span continuous beam has demonstrated that the precision of structural static model updating is in an acceptable range and the structural finiteelement calculation times can be reduced. The efficiency of finite element model updating can be increased based on this method.