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題 名 | 推導JWL狀態方程式的簡易計算法 |
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作 者 | 宣仲華; 陳俊瑜; 藍一峰; | 書刊名 | 中正嶺學報 |
卷 期 | 21:2 1993.01[民82.01] |
頁 次 | 頁117-125 |
分類號 | 462.11 |
關鍵詞 | 狀態方程式; 推導; 擴管試驗; 非線性擬合; Equation of state; Cylinder expansion test; Nonlinear curve fitting; |
語 文 | 中文(Chinese) |
中文摘要 | 本文發展出一種簡易計算JWL參數的方法,可取代以試誤法反覆計算 的大型流力程式,並可提高解析解求法的準確度。由條形照相機記錄的銅管徑向 位移與時間變化的關係,經過特定限制條件下的非線性擬合程序,並考慮銅管之 起始膨脹點,而可得一滿足爆轟物理學的e與t之函數。而後再將尤拉座標觀點 下所量測的數據,轉換成拉格蘭吉座標,並對函數微分計算銅管之速度及加速 度,結合守衡律可求得P-V關係。最後將計算所得之P-V值,經由非線性擬合程 序,可求得JWL參數。以Comp-B、TNT、HMX,PBX-9404及Nitromethane的計算 結果顯示,本文提供的方法之準確性足可代替大型的流力計算程式。此外,本文 亦考慮金屬強度以提昇低壓區的準確性。 |
英文摘要 | A simple method which is much simpler than, while retaining the same degree of accuracy, as that of a large computer hydrocodes has been developed for deducing the JWLequation of state (EOS) of high explosive detonation products from the cylinder expansiontest. The radial expansion history of metal tube, which is recorded by the streak camera,is expressed as an appropriate fitting function with the aid of a nonlinear curve fittingprocedure. The measured data with respect to Eulerian coordinate is transformed to thatin Lagrangian coordinate so that the P V relation of detonation products may be obtainedfrom the differentiation of fitting function and equations of conservation law. Metal strengthis also taken into consideration to reduce the deviation at the lower pressure region. JWLparameters are acquired through the P - V relations by another nonlinear curve fittingprocedure. The computed results for Comp-B, TNT, HMX, PBX-9404 and Nitromethane, whichare in good agreement with Lawrance Livemore National Laboratory (LLNL) data, arelisted for comparison with other procedures in literature which have been in use so far. |
本系統中英文摘要資訊取自各篇刊載內容。