基于分层思想对复杂工程结构的有限元模型修正技术研究

摘要

Because finite element models for complicated engineering structures have more uncertain parameters and uncertain parameters vary greatly,the target parameters converge difficaltly when they are updated. For this issue, the hierarchical model was induced, a complex engineering structure was decomposed into several sub-structures according to connecting features, then each sub-structure was divided into several parts, each parts and each sub-structure were updated. Finally, an acceptable finite element model was built without modifying a whole structure. Benchmark models in the field of model validation techniques as examples were updated with the hierarchical method. The results showed that the finite element model updating technique based on the hierarchical idea has higher precision and is valuable in engineering application.%由于复杂工程结构的有限元模型中不确定参数较多,不确定参数的变化范围较大,对其修正时目标参数难以收敛,针对此问题提出引入模型确认技术中的分层思想,建立了分层模型修正技术的数学模型,把复杂工程结构按连接特性分解为若干个子结构,再把子结构分成若干个零件,分别对零件、子结构进行修正,最后不需要对整体结构进行修正而生成工程中可接受的有限元模型,以模型确认技术领域内的Benchmark模型为例进行分层修正,研究结果表明了基于分层思想的有限元模型修正结果精度较高,具有较大的工程应用价值.