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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.
In recent years, response surface-based optimization analysis techniques have been used to correct finite element models, and a PCB surface modification method based on response surface method is given.Firstly, ANSYS is used to calculate the first 6 orders of PCB Modal frequency and modal test results were analyzed. Then three objective functions were constructed by using the first three modal frequencies of the finite element analysis and the modal test, respectively, and then the residual squared sum of the first six resonance frequencies The fourth objective function has the same weight for each resonance frequency. Finally, the objective function is minimized by using the multi-objective function genetic algorithm, and a case is given to illustrate the above correction process. The response surface based model correction technique can be used to improve the finite element model of PCB. It can be directly analyzed by the existing commercial finite element software and is easy to be applied in engineering.