本研究主要是應用商用有限元素分析軟體MSC.Software公司產品Patran及Dytran兩套軟體，來進行平面震波衝擊金屬板的結構與氣動分析，模擬出震波衝擊橈性與剛性金屬斜板的應變狀況。本分析建構與實驗相同大小的銅片做為測試模型，銅板的厚度採用0.2 及0.03 二種，先運用Hypermesh程式建構模型，再運用Patran及Dytran程式進行參數設定及分析。因為分析對象包含了平面震波與35度傾角及50度傾角的銅板等兩項不同元素，所以進行建模時，透過Hypermesh建構網格；分析時利用Lagrange和Eulerian兩種不同建模的耦合技巧，以達到平面震波與銅板交互作用的正確模擬。運用震波管實驗，配合應變規量測銅片受到入射震波衝擊後的應變值，與Dytran程式模擬的應變值做二者特性的比較，以瞭解數值模擬運用的成果及準確範圍。本研究中成功的發展出Hypermesh程式創建模型、Nastran轉換模型、Patran輸入及匯入模型、Dytran程式模擬震波衝擊金屬片的分析方法及有效模擬，除可減少實驗的風險及成本，也可提早預測金屬片受震波衝擊的應變狀況。

In this research, we took advantage of two sophisticated commercial finite element analysis software, which are Patran and Dytran and being developed by MSC Software Company to analysis the planar shock across a flexible and a rigid inclined surfaces and to study the variation of strain on the surface by numerical modeling. The simulation model is built of shell coppers and brasses with the thickness of 0.2 and 0.03 with distinctive consideration of different coupling techniques, which are named as the Lagrangian and the Eulerian techniques to two different elements, for better illustrating the interaction of shock in the simulation. The shock wave tube experiment of the same model arrangement and the results are fullfilled by measuring the strain of the shell copper from a strain gauge planted in it,which is impacted by the incident shock wave. Meanwhile, the data is correlate with the results generated by the Dytran modeling to ensusre the accuracy of the numerical simulation. It is a successful analytical approach which is conducted effectively by manipulating the softwares of Hypermesh、Nastran、Patran and Dytran programs to simulate the phenomenon of plane shock wave impulse on a metal sheet. It is not only the cost and risk of experiments are reduced, but also the strain status can be foreseen.

[1]Glass,I.I., “Shock Waves on Earth and in Space”, Progress in Aerospace Sciences, Vol.17, No.4, pp.269-286, 1977
[2]Kinney,G.F. and Graham K.J., Explosive Shocks in Air, 2nd edition, Springer Verlag New York Inc., pp.1-15, 1985
[3]Ben-Dor, G., Shock Wave Reflection Phenomena, Springer Verlag New York Inc., pp.41-53, 1992
[4]Abbott,James Fuller, “The Interaction of Sound and Shock Waves with Flexible Porous Materials”, Master´s Thesis Massachusetts Institute of Technology, June, 1991
[5]Sahlin,Fredrik, “CFD-Analysis of Hydrodynamic Lubrication of Textured Surfaces”, Master´s Thesis Lulea University of Technology, July,2003
[6]陳昭昌譯, Rao.S.S原著, 有限元素法-工程上之應用, 復文出版社, 1989
[7]許琨東, “雙斜面體上震波的反射及其干涉現象之研究”, 成大航太所碩士論文, 1995
[8]林偉仁, “平面震波於楔形體與垂直鰭片模型所產生反射-繞射現象之研究”, 成大航太所碩士論文, 2004
[9]吳忠慶, “平面震波通過橈性與剛性斜面之研究”, 成大航太所碩士論文, 2007
[10]鄧宇昇, “超音速震波衝擊金屬平板之動態響應分析”, 成大航太所碩士論文, 2007
[11] Owezarck, J.A., Fundamentals of Gas Dynamics, International Textbook Company, pp.395-398, 1964
[12] Gaydon, A.G., and Hurle, I.R., The Shock Tube in High Temperature Chemical Physics , Reinhold Publishing Corp., New York, pp.1-63, 1963
[13]Glass, I.I., and Patterson, G.N., “A Theoretical and ExperimentalStudy of Shock-Tube Flow”, Journal of Aeronautical Sciences, Vol.22, No. 2, pp.73-100, 1955
[14]Han, Z.Y. and Yin, X.Z., Shock Dynamics, Kluwer Academic Publishers, pp.42-67, 1993
[15]Tanguay, Michel, and Colonius, Tim, “Numerical Simulation of Bubbly Cavitating Flow in Shock Wave Lithotripsy”, Division of Engineering and Applied Science California Institute of Technology, 2001
[16]“MSC Dytran User’s Guide”, MSC.Software Corporation, 2004
[17]陳文照、曾春風與游信和譯, William D. Callister, JR原著, 工程材料-材料科學基礎篇, 高立圖書有限公司, pp.115-160, 2006
[18]沈廣漢, “應用MEMS微感測器於多層穿靶訊號之偵測”, 成大航太所碩士論文, 2005