振动与冲击
振動與遲擊
진동여충격
Journal of Vibration and Shock
2015年
22期
42-46
,共5页
王开山%李传日%庞月婵%郭恒晖
王開山%李傳日%龐月嬋%郭恆暉
왕개산%리전일%방월선%곽항휘
各向异性%印制电路板组件%模型修正%相关性分析%响应面法%优化求解
各嚮異性%印製電路闆組件%模型脩正%相關性分析%響應麵法%優化求解
각향이성%인제전로판조건%모형수정%상관성분석%향응면법%우화구해
orthotropic%printed circuit board assembly(PCBA)%model updating%correlation analysis%response surface methodology%optimization
在将印制电路板及元器件材料视为正交各向异性前提下，提出基于响应面法的印制电路板组件（Printed Circuit Board Assembly，PCBA）有限元模型修正法。利用相关性分析筛选出对PCBA模态频率影响较大参数作为修正参数；据修正参数数目选择合适的试验设计获取样本点，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）迭代计算获得优化修正参数并代入有限元模型获得修正模型。以某航空电子产品某PCBA为案例，对比修正前后各阶模态频率与试验值误差。结果表明，修正后模型各阶模态频率与试验值相对误差均明显减小，验证该方法对PCBA模型修正的有效性。
在將印製電路闆及元器件材料視為正交各嚮異性前提下，提齣基于響應麵法的印製電路闆組件（Printed Circuit Board Assembly，PCBA）有限元模型脩正法。利用相關性分析篩選齣對PCBA模態頻率影響較大參數作為脩正參數；據脩正參數數目選擇閤適的試驗設計穫取樣本點，構造多項式響應麵模型；通過最小二乘法確定多項式繫數併檢驗響應麵擬閤精度；用響應麵計算結果與模態試驗結果誤差絕對值構造目標函數；通過多目標遺傳算法（MOGA）迭代計算穫得優化脩正參數併代入有限元模型穫得脩正模型。以某航空電子產品某PCBA為案例，對比脩正前後各階模態頻率與試驗值誤差。結果錶明，脩正後模型各階模態頻率與試驗值相對誤差均明顯減小，驗證該方法對PCBA模型脩正的有效性。
재장인제전로판급원기건재료시위정교각향이성전제하，제출기우향응면법적인제전로판조건（Printed Circuit Board Assembly，PCBA）유한원모형수정법。이용상관성분석사선출대PCBA모태빈솔영향교대삼수작위수정삼수；거수정삼수수목선택합괄적시험설계획취양본점，구조다항식향응면모형；통과최소이승법학정다항식계수병검험향응면의합정도；용향응면계산결과여모태시험결과오차절대치구조목표함수；통과다목표유전산법（MOGA）질대계산획득우화수정삼수병대입유한원모형획득수정모형。이모항공전자산품모PCBA위안례，대비수정전후각계모태빈솔여시험치오차。결과표명，수정후모형각계모태빈솔여시험치상대오차균명현감소，험증해방법대PCBA모형수정적유효성。
Onthepremiseoftakingthematerialsoftheprintedcircuitboardanditscomponentsasorthotropic,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 a 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 result of the calculated response surface and that of an actual test was taken as an objective function.The optimized parameters were obtained taking advantage of the iterative calculation of the multiple objectives genetic algorithm (MOGA ).The updated model was then obtained by substituting the optimized parameters into the non-updated FEM.Taking the PCBA of an aircraft electronic product as an example,the comparison between the modal frequencies of non-updated and updated FEM shows that the relative error of modal frequencies of the updated FEM to the actual test is obviously reduced and thus verifies the effectiveness of the model updating methodology suggested.
