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研究生: 黃琮鈞
Huang, Jiun-Yan
論文名稱: 利用二衝台衝擊機產生脈衝波形的設計及驗證
Design & Verification of Two-Stroke Drop Test Machine for Specific Shock Loading Generation
指導教授: 鄭泗滄
Jenq, Syh-Tsang
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2011
畢業學年度: 99
語文別: 中文
論文頁數: 144
中文關鍵詞: 接觸力學衝擊響應頻譜衝擊測試有限元素分析衝擊環境重建
外文關鍵詞: Contact mechanics, shock response spectrum, shock test, finite element analysis, Reconstruction of shock environment
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  • 本文之研究主旨在利用二衝台機器產生衝擊波,再將衝擊波形描繪成衝擊響應頻譜(Shock Response Spectrum)。利用衝擊響應頻譜作衝擊測試現在已經普遍的被利用在3C產品及高精密的儀器設備,如手機、衛星等。為了能提高衝擊的加速度,特別在一衝台衝擊模組上再加上一個質量塊做為二衝台衝擊模組,讓兩個衝擊模組撞擊作加速度的二次放大,以達到測試規範要求的高G值。
    在理論研究方面,利用解析解求得撞擊的位移及撞擊的時間,並和實驗及模擬結果進行比較驗證。在實驗方面,利用自由落體式衝擊試驗機對兩個衝擊模組做不同高度的衝擊試驗,探討兩者撞擊後的加速度及撞擊時間;在數值模擬方面,利用商用有限元素軟體LS-DYNA進行兩個衝擊模組在與實驗同樣條件下的的撞擊模擬,取其加速度及撞擊時間與實驗結果比較,兩者的誤差皆在10%以內,因此驗證數值模擬方法在衝擊的環境負載下有一定的準確性。
    最後進一步對PSLV(Polar Satellite Launch Vehicle)及Minotaur_IV火箭所提供之衝擊環境進行衝擊訊號重建,比較重建之訊號與測試訊號的差異,並與振動機產生之訊號比較,比較兩者的差異。另外將二衝台衝擊模組產生之衝擊波與預設之標準比較,確認產生之衝擊波符合預設之標準。期望透過本文之驗證使得自由落體式衝擊試驗機能產生符合不同火箭載具之衝擊環境,使衛星衝擊測試更接近真實。

    The purpose of this work is to study two-stroke drop machine was used to produce specific shock waves. Shock response spectrum (SRS) was also computed and performed from these various shock waves in this study. It is commonly adopt to test for 3C products and high technology machine, such as cell phone and satellite, etc. Besides, the first-stroke and second-stroke punch modules are performed and utilized to enhance the G peak value in order to increase the peak of impact acceleration.
    As for theoretical background, the impacted deformation and duration which are obtained by analytic solution. For the experimental results, the impact acceleration and impact duration was measured during the two-stroke drop test on the different initial height. The FEM commercial software - LS-DYNA are utilized to analyze the impact acceleration and impact duration of two-stroke drop mechanisms at the same condition in our study. According to these verified results, the accuracy and adequacy are also confirmed by utilizing LS-DYNA to check the dynamic impact behavior. Comparison of the experimental and simulated results is also examined and the deviation error between experimental and simulated results is near 10% in this work. The reconstruction of the shock environment is also operated and performed clearly for PSLV and Minotaur_IV rockets by using the two-stroke drop mechanism. Besides, the shaker and two-stroke drop mechanisms were also to examine and compare the difference for shock impulse used in clear. All of the experimental and simulated results are reported in this work.

    摘要 I Abstract III 誌謝 V 目錄 VIII 表目次 XI 圖目次 XIII 第一章 緒論 1 1.1 前言 1 1.2 研究動機 3 1.3 研究目的 4 1.4 文獻回顧 5 1.5 研究方法 7 第二章 理論基礎 9 2.1赫茲接觸理論(Hertz Contact Theory) 9 2.1.1彈性半空間(The Elastic Half-Space) 9 2.1.2 Boussinesq 勢能函數 9 2.1.3集中法向力 13 2.1.4光滑的非協調接觸表面的幾何學 16 2.1.5兩球體接觸理論 20 2.2兩球體碰撞理論 24 2.3衝擊響應頻譜(shock response spectrum, SRS)之概念 28 2.3.1 單自由度無阻尼系統受半正弦衝擊波之衝擊響應頻譜 29 2.4單自由度系統受任意外力衝擊波之反應頻譜推導[18-26] 34 2.4.1 應用Z轉換(Z-transform)方法於衝擊響應頻譜之計算 40 2.4.2 模態響應疊加之組合方法 43 第三章 實驗方法及流程 57 3.1 前言 57 3.2 實驗方法與步驟 57 3.2.2 實驗配置 59 3.2.3 實驗程序 62 3.3衝擊實驗結果與討論 63 3.3.1 衝擊模組與剛性基底碰撞實驗(Type A) 63 3.3.2衝擊模組與厚度7.5cm的橡膠塊碰撞實驗(Type B) 64 3.3.3衝擊模組與厚度5cm的橡膠塊碰撞實驗(Type C) 66 3.4橡膠塊壓縮實驗 66 3.4.1 實驗設備、規範及試片介紹 67 3.4.2 材料壓縮試驗流程 68 3.4.3 材料壓縮試驗結果 68 第四章 數值模擬分析方法 89 4.1 數值模型建立與材料性質之定義 89 4.2 衝擊模組有限元素模型之收斂性測試 89 4.3 數值模擬與理論之驗證 90 4.4 衝擊實驗模擬與驗證 92 4.4.1衝擊模組與剛性基底碰撞實驗(Type A) 93 4.4.2衝擊模組與厚度7.5cm的橡膠塊碰撞實驗(Type B) 94 4.4.3衝擊模組與厚度5cm的橡膠塊碰撞實驗 (Type C) 94 4.5 結果與討論 95 第五章 微衛星衝擊環境重建 115 5.1 微衛星之結構配置簡介 115 5.1.1 衛星結構設計 115 5.1.2 衛星之材料性質定義 117 5.2任意衝擊環境重建之設計、規畫與驗證 117 5.2.1 PSLV火箭衝擊響應頻譜重建 118 5.2.2 Minotaur火箭衝擊響應頻譜重建 121 5.2.3 耐衝擊結構衝擊環境重建 123 5.3結果與討論 124 第六章 結論與未來展望 138 6.1 結論 138 6.2 未來展望 140 參考文獻 142

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