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研究生: 羅盛沐
Lo, Sheng-Mu
論文名稱: 以區間式遺傳演算法進行堆疊晶QFN構裝體疲勞壽命之區間最佳化設計
Interval Optimization of Fatigue Life for Stacked Die Quad Flat No Lead Package by Interval Genetic Algorithm
指導教授: 陳榮盛
Chen, Rung-Sheng
學位類別: 碩士
Master
系所名稱: 工學院 - 工程科學系
Department of Engineering Science
論文出版年: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 122
中文關鍵詞: 反應曲面法區間式遺傳演算法敏感度
外文關鍵詞: response surface method, interval genetic algorithm, sensitivity
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  • 由於QFN(Quad Flat No-lead)構裝體的體積小、有良好的電性能與熱性能,且製程的成本與失效率低,近年來逐漸的受到市場上的重視,本文針對堆疊晶QFN構裝體為研究的對象,以產品的設計參數為考量,進行溫度循環的可靠度分析以及設計參數的敏感度分析,以提高構裝體的疲勞壽命與生產品質的穩定。
    本文採用ANSYS10.0進行分析並搭配Global/Local分析法,在JEDEC規範下將堆疊晶QFN構裝體施予-40°C~125°C的溫度循環負載,而錫膏選用亞蘭德模型,然後根據Darveaux 所提出之能量法,以分析錫膏的黏塑性應變能密度分佈,並取平均值作為評估整體組件的可靠度的指標。
    在進行最佳化之前,以單一因子實驗分析,檢視ANSYS模擬模型的可行性。接著以部分因子設計法篩選顯著性較大的因子,並建立反應曲面迴歸模型。再者,利用反應曲面迴歸模型結合基因演算法進行最佳化分析,其結果顯示可藉由減少晶片面積、印刷電路板厚度與熱脹膨係數,以及增加封膠熱脹膨係數皆可有效地改善堆疊晶QFN構裝體之可靠度。最後,利用區間式遺傳演算法分析,探討各參數對可靠度指標的敏感度,其大小順序為封膠熱膨脹係數>印刷電路板厚度>印刷電路板熱膨脹係數>晶片面積,未來在製程上將盡量提高較敏感參數之精度,以確保產品的品質穩定。

    With the characteristics of miniature in size, good electric and thermal performance, low manufacture costs as well as low failure rate, the QFN has been paid attention gradually in the market. The stacked die QFN package is adopted to analyze the effects of the design parameters. Then the reliability analysis under the thermal cycle and the sensitivity analysis on the design parameters are conducted to enhance the fatigue life of the package and the stability of products.
    ANSYS10.0 software with the Global/Local method is applied for analysis. Based on the JEDEC code, the stacked die QFN is subjected by a thermal cycle of -40°C~125°C. The viscoplastic property of solder paste is assumed to be Anand’s model. Darveaux’s energy concept is employed to analyze of the strain energy density distribution of the paste solder. Accordingly, an average value is treated as the reliability index for evaluating the package
    Prior to the process of the optimal design on reliability of stacked die QFN package, one-factor-at-a-time analysis is conducted to investigate the feasibility of the ANSYS simulation model. Afterwards, the most significant factors are chosen by the fractional factorial design method and a regression model of the response surface is set up in which the genetic algorithm is introduced to obtained the optimal combination of parameters. It shows that the reliability of the QFN package can be effectively improved along with the reduction of the die size, thickness of PCB, CTE of PCB as well as the increase of CTE of mold compound. Finally, the interval genetic algorithm (IGA) is applied to analyze each parameter’s sensitivity to the reliability index. They can be ranked from the largest to the smallest as follows: CTE of mold compound, thickness of PCB, CTE of PCB and die size. It is expected to improve the accuracy of sensitive parameters in the manufacturing process so that the stability of the product quality can be ensured.

    中文摘要I 英文摘要II 誌謝IV 表目錄IX 圖目錄XI 符號說明XVI 第一章 緒論1 1-1 前言1 1-2 研究動機與目的2 1-3 文獻回顧3 1-4 研究方法7 1-5 章節提要8 第二章 理論基楚10 2-1 QFN構裝體型式簡介10 2-2 錫膏的種類與製作11 2-3 錫膏破壞模式12 2-4 分析問題之描述與解決之方13 2-4-1 收斂問題13 2-4-2 破壞指標 : 疲勞機制13 2-5 實驗系統之規劃與設計17 2-5-1 實驗設計的解析度17 2-5-2 部份因子實驗步驟18 2-6 反應曲面法19 2-6-1 實驗配置20 2-6-2 二階迴歸模型的建構21 2-7 區間式遺傳演算法22 2-7-1 準確的最佳化分析22 2-7-2 建立適應度函數24 2-7-3 收斂分析26 第三章 以塑性應變能密度之平均值作收斂分析34 3-1堆疊晶QFN構裝體模型簡介34 3-1-1 堆疊晶QFN構裝體模型34 3-1-2 堆疊晶QFN構裝體模型之基本假設條件35 3-1-3 邊界條件36 3-1-4 溫度循環負載36 3-1-5 整體分析過程36 3-2 堆疊晶QFN構裝體全域模型之建立與收斂分析37 3-2-1 建立堆疊晶QFN構裝體全域模型37 3-2-2 堆疊晶QFN全域模型之分析結果38 3-2-3 堆疊晶QFN全域模型收斂分析38 3-3 堆疊晶QFN構裝體局部模型之建立與收斂分析38 3-3-1 建立堆疊晶QFN構裝體局部模型 39 3-2-2堆疊晶QFN局部模型收斂分析40 3-2-3錫膏的最大塑性應變能密度累積積曲線40 3-4 堆疊晶QFN構裝整體評估41 3-4-1 堆疊晶QFN構裝整體位移41 3-4-2錫膏的塑性應變能密度42 第四章 單一因子與反應曲面之實驗分析65 4-1 單一因子分析 65 4-1-1 各設計參數與其水準值65 4-1-2 單一因子分析結果67 4-2 部分因子設計法篩選設計參數72 4-3 反應曲面分析73 4-3-1 反應曲面的建立74 4-3-2 探討反應曲面之一次因子與單一因子分析結果75 4-3-3 探討因子間交互作用對塑性應變能密度平均值 的影響77 第五章 堆疊晶QFN構裝體模型區間式最佳化104 5-1 利用基因演算法搜尋反應曲面的精準參數與目標值104 5-2 區間式遺傳演算的定義與運算過程105 5-3 數值結果與討論106 第六章 結論與未來研究方向 115 6-1 結論 115 6-2 未來研究方向118 參考文獻119

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