基于响应面法的印制电路板组件有限元模型修正

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (22) : 42-46.

论文

王开山1 , 李传日1 , 庞月婵1 , 郭恒晖1

作者信息 +

The Finite Element Model Updating of Printed Circuit Board Assembly Based on Response Surface Methodology

WANG Kai-shan1 LI Chuan-ri1 PANG Yue-chan1 GUO Heng-hui1

Author information +

文章历史 +

摘要

在将印制电路板和元器件材料看作正交各向异性的前提下，提出了一种基于响应面法的印制电路板组件（PCBA）有限元模型修正方法。利用相关性分析筛选出对PCBA模态频率影响较大的参数作为修正参数；根据修正参数的数目选择合适的试验设计方法获取样本点构造多项式响应面模型；通过最小二乘法确定多项式系数并检验响应面拟合精度；用响应面计算结果与模态试验结果的误差绝对值构造目标函数；通过多目标遗传算法（MOGA）迭代计算得到优化修正参数，将修正后参数值代入有限元模型得到修正模型。以某航空电子产品中的某PCBA为案例，对比修正前后各阶模态频率与试验值的相对误差，结果表明修正后模型各阶模态频率与试验值的相对误差均明显减小，验证了该方法对PCBA模型修正的有效性。

Abstract

On the premise of taking the materials of the printed circuit board and component as orthotropic, a method based on response surface was proposed to update the finite element model(FEM) of printed circuit board assembly(PCBA). The parameters which have great influence on the modal frequencies of PCBA were screened out and taken as the updating parameters by correlation analysis. The sample points were acquired by using an appropriate experimental design according to the number of the updating parameters to construct the polynomial response surface model. The least squares method was used to determine the polynomial coefficients and then to test the fitting accuracy of response surface. The absolute value of error between the results of the calculated response surface and the actual test was taken as the objective function. The optimized parameters were obtained by iterative calculation of MOGA. The updated model was then obtained by substituting optimized parameters into the non-updated FEM．Take the PCBA of an aircraft electronic product as an example. The comparison of modal frequencies of non-updated and updated FEM shows that the relative error of modal frequencies between the updated FEM and the actual test obviously reduced and thus verifies the effectiveness of the model updating methodology suggested in the paper．

导出引用

王开山1,李传日1,庞月婵1,郭恒晖1 . 基于响应面法的印制电路板组件有限元模型修正[J]. 振动与冲击, 2015, 34(22): 42-46

WANG Kai-shan1 LI Chuan-ri1 PANG Yue-chan1 GUO Heng-hui1. The Finite Element Model Updating of Printed Circuit Board Assembly Based on Response Surface Methodology[J]. Journal of Vibration and Shock, 2015, 34(22): 42-46

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