结构加速度频响函数模型修正的Kriging方法

Structural model updating of acceleration frequency response function based on Kriging method

为提高结构频响函数模型修正效率,提出将Kriging模型引入优化过程,代替有限元模型进行迭代运算.基于频响曲线对应频率点处的响应值之差构造目标函数,并结合初选设计参数进行实验设计.根据实验设计结果进行各参数的灵敏度分析,进而筛选出模型修正的待修正参数,基于该参数及其响应构造Kriging模型,经检验有效的Kriging模型将参与模型修正过程.以GARTEUR飞机模型为算例,基于加速度频响数据进行模型修正,修正后模型不仅能复现检验点处频响曲线,还能成功预测结构局部修改后的频响曲线,证明了Kriging方法应用于频响函数模型修正的有效性.

To improve the efficiency of frequency response function（FRF） model updating,the Kriging model is introduced into its optimization procedure,thus replacing the finite element model for iteration.The objective function is established based on the error of FRF curve at each corresponding frequency point,and a design of experiment（DOE） of the primary design parameters is performed.The sensitivity of each design is then assessed based on DOE results,and the parameters involved in model updating are selected.The Kriging model is constructed based on these selected parameters,and after confirming its response it participates in the model updating process.The GARTEUR aircraft model is used as an example,and it is found that based on acceleration FRF data,the FRF curve reappears at the checking point after model updating.The FRF curve is also predicted successfully when the structure is changed locally,and therefore the effectiveness of the Kriging method applied to FRF model updating is demonstrated.