臺灣博碩士論文加值系統

本研究探討以最佳化的方法找尋陶瓷胚體內之高分子黏合劑燒除製程的最佳化加熱速率控制，利用高分子黏合劑的熱裂解反應動力與陶瓷胚體內黏合劑受熱裂解產生氣體產物流出胚體外的質傳現象，建立三維空間中之氣體輸送模型，以有限差分法 ( finite difference method ) 模擬黏合劑在胚體內熱裂解產生氣體的氣體壓力分佈情形，並以最佳化之方法找尋在不使胚體產生缺陷的最大壓力下之最佳化加熱速率操作條件。以工業上常用之PVB與玻璃陶瓷的混合重量百分比為30%PVB與70%玻璃陶瓷的組成，簡稱P30C70，在不同氣體氣氛下的熱解反應動力參數，模擬該組成在不同加熱速率下於胚體內的氣體壓力分佈，由模擬結果顯示，使用較大的加熱速率時，在胚體中心點與邊緣處所受應力與壓力降會增加。以P30C70的樣品發現，PVB在空氣會比在氮氣時，提早開始熱解，但反應完畢所需時間比在氮氣時更長。使用相同加熱速率時，PVB在氮氣下熱解所產生之氣體壓力最大值比在空氣中更大。由最適化結果顯示，以最佳化加熱速率為操作條件，可在不使胚體產生缺陷的最大壓力下，減少黏合劑燒除製程所需時間，達到提高良率與節省製程時間成本的目的。

The control strategies of optimal heating rates were studied for the burnout process of polymer binders inside a 3-D ceramic body in nitrogen and air atmospheres. The polymer binder can be degraded as gaseous products in higher temperatures and diffuse into the ceramic surface. The burnout process model was described by the kinetics of polymer degradation and the mass transport phenonemum. A finite difference method was used to simulate the pressure distribution caused by the transport of the gaseous products. The pressure distribution can affect the generation of the ceramic defects and have to be controlled by the heating conditions. The computational results show that higher heating rates can generate larger pressure at the body center point and pressure drop at the edge of the surface. In addition, the maximum pressure generated at the body center was higher for operating in nitrogen than in air. However, the burnout period is longer for in an air case than in a nitrogen case. The optimal control of the heating rates was discussed in both cases using the algorithm developed in this work.

目 錄
中文摘要……………………………………………………………........Ⅰ
英文摘要……………………………………………………………........Ⅱ
目錄…………………………………………………………………........Ⅲ
表目錄………………………………………………………………........Ⅴ
圖目錄………………………………………………………………........Ⅵ
第一章 緒論…………………………………………………...………….1
1.1簡介……………………………………………………………..1
1.2研究動機與目的…………………………………….………….2
第二章 文獻回顧………………………………………………………..3
2.1 高分子黏合劑燒除製程分析………………….…................4
2.2 最適化控制………………………………............................8
第三章 研究方法………………………………………….…...............14
3.1 黏合劑在陶瓷胚體內熱解產生氣體壓力之三維模型...........14
3.1.1 陶瓷體之溫度分佈方程式……………………….............14
3.1.2 黏合劑之熱解動力方程式…………………….................16
3.1.3 黏合劑之質量平衡方程式…………………….................18
3.1.4 氣體壓力方程式……………………………….................19
3.2 最佳化控制策略…………………………..……..............23
第四章 結果與討論………………………………………….………...28
4.1 黏合劑在陶瓷體的燒除…………………………...............28
4.2 PVB/玻璃陶瓷在氮氣中燒除……………..……..............43
4.3 PVB/玻璃陶瓷在空氣中燒除…………………………....50
4.4 PVB燒除製程之最佳化控制………………………….....57
第五章 結論……………………………………………………...…....65
第六章 參考文獻……………………………………………………...66
附錄一 符號說明……………………………………………......…….69
附錄二 Polyurethane(PU)彈性纖維之乾式紡絲製程最適化..……....72
附錄三 …………………………………………………………...……77

第六章 參考文獻
方士庭, “ 應用於高頻無線通訊之多層低溫共燒陶瓷( LTCC )的設計技術 ,” 中華民國陶業研究學會會刊, 21, 4, 52-58,(2002.10).
楊立群, “ 低溫共燒陶瓷嵌入式電感與電容元件之設計與模型化 ”, 中山大學, 碩士論文,民國九十一年六月。
汪建民 , 陶瓷技術手冊(上) , 再版 , 中華民國粉末冶金協會與中華民國產業科技發展協進會 , 台北 , 民國八十八年八月。
R. V. Shende,and S. J. Lombardo,“ Determination of binder decomposition kinetics for specifying heating parameters in binder burnout cycles ”, J. Am. Ceram. Soc., 85 , [4] ,780-786(2002).
L. C. K. Liau,“ Kinetic investigations of thermal degradation of poly(vinyl butyral) using TG/FT-IR ”, University of Missouri , Ph. D. , 1997.
J. A. Lewis,“ Binder removal from ceramics ”, Annu. Rev. Mater. Sci., 27 ,147-173(1997).
Z. C. Feng,and S. J. Lombardo, “ Stress distribution in porous ceramic bodies during binder burnout ”, Journal of Applied Mechanices., 69, 497-501(2002).
A. C. West,and S. J. Lombardo,“ The role of thermal and transport properities on the binder burnout of injection-molded ceramic components ”, Chemical Engineering Journal ,71,243-252(1998).
L. C. K. Liau, B. Peters, D. S. Krueger, A. Gordon, D. S. Viswanath,and S. J. Lombardo, “ Role of length scale on pressure increase and yield of poly(vinyl buryral)-barium titanate-platinum multilayer ceramic capacitors during binder burnout ”, J. Am. Ceram. Soc., 83 , No. 11, 2645-2653(2000).
S. J. Lombardo,and Z. C. Feng, “ Pressure distribution during binder burnout in three-dimensional porous ceramic bodies with anisotropic ”, J. Mater. Res., 17 ,No. 6, 1434-1440(2002).
K. Feng,and S. J. Lombardo, “ Modeling of the pressure distribution in three-dimensional porous green bodies during binder removel ”, J. Am. Ceram. Soc., 86 ,No. 2 ,234-240(2003).
S. S. Jang,and W. L. Yang, “ Dynamic optimization of batch emulsion polymerization of vinyl acetate-an orthogonal polynomial initiator policy ”, Chemical engineering science, 44, No. 3, 515-528(1989).
S. S. Jang,and P. H. Lin, “ Discontinuous minmum end-time temperature/initiator policies for batch emulsion polymerization of vinyl acetate ”, Chemical engineering science, 46, No. 12, 3153-3163(1991).
J. M. Pinto,and R. Giudici, “ Optimization of a cocktail of initiators for suspension polymerization of vinyl chloride in batch reactors ”, Chemical engineering science, 56 ,1021-1028(2001).
F. Fournier, M. A. Latifi,and G. Valentin, “ Methodology of dynamic optimization and optimal control of batch electrochemical reactors ”, Chemical engineering science, 54 ,2707-2714(1999).
O. Abel, A. Helbig, W. Marquardt, H. Zwick,and T. Daszkowski, “ Productivity optimization of an industrial semi-batch polymerization reactor under safety constraints ”, Journal of process control, 10 ,351-362(2000).
D. T. Tsai, “ Pressure buildup and internal stress during binder burnout : numerical analysis ”, AIChE Journal, 37 , No.4 ,547-554(1991).
謝俞枰 , ” 低溫共燒陶瓷製程奈米二氧化矽添加於PVB/玻璃陶瓷之熱解動力分析 ”, 元智大學 , 碩士論文 , 民國九十三年七月。
Edger , Himmelblau , Lasdon , Optimization of chemical processes , second edition , McGRAW-HILL , New York , 2001.