基于响应面方法的印制电路板模型修正

Printed circuit board model updating based on response surface method

近年来,基于响应面的优化分析技术被用于有限元模型修正.给出了基于响应面方法的印制电路板(PCB,Printed Circuit Board)模型修正过程.首先利用ANSYS计算PCB的前6阶模态频率并与模态试验结果进行相关性分析;然后分别利用有限元分析和模态试验的前3阶模态频率构造3个目标函数,再利用前6阶共振频率的残差平方和构造第4个目标函数,每个共振频率的权重相同;最后利用多目标函数遗传算法进行优化分析,使得4个目标函数最小化.给出了一个案例对上述的修正过程进行了阐述.分析结果表明,基于响应面的模型修正技术可用于改善PCB的有限元模型,且可利用已有的商业有限元软件直接进行分析,易于工程应用.

Optimization analysis based on response surface is used in finite element （FE） model updating in recent years. Printed circuit board （PCB） model updating process based on response surface was presen- ted. First six modal frequencies of PCB were calculated using ANSYS and correlated with modal test results. Three objective functions were formed using the first three orders of FE analytical and measured modal frequen- cies. The fourth objective function was formed by the square of residuals between first six resonant frequen- cies. Each resonant frequency was given the same weight. A multi-objective genetic algorithm （MOGA） was used in optimized analysis to minimize the four objective functions. A case was presented to illustrate the pro- posed updating procedure. The results show that the model updating technique based on response surface can be used to improve the accuracy of PCB FE model, and can be analyzed directly by using commercial FE soft- wares now available, which is conducive to engineering application.