臺灣博碩士論文加值系統

摘 要
本文以解析與實驗方式研究複材疊層板承受參數式激發所產生之動態不穩定行為。在理論方面，除了使用有限單元分析軟體ANSYS求解系統模態外，並將複材板模擬成一理想化模型，利用虛擬振型法與拉格朗日方程式(Lagrange’s Equation)推導系統動態方程式，由動態方程式可知其不穩定區域可由複材板橫向振動各模態的自然頻率、阻尼係數、振型以及激振器之施力位置與其激振振幅決定。實驗中使用的激振器為一交變勁度電磁彈簧，可產生參數激發力來激發複材板之振動。此外，電磁激振器之激振頻率與激發振幅可由通過電磁彈簧線圈中之交流電流控制，因此，實驗時可能產生的干擾問題均可有效避免。
結果顯示，複材板不穩定區域之理論解與實驗結果在兩倍基頻處僅有些微之誤差。文中並探討疊層角度、長寬比及疊層數目對複材板自然頻率及不穩定區域之影響；疊層角度對複材板產生不穩定區域頻率之影響，依模態之不同而有往高頻或低頻偏移之趨勢；長寬比降低與疊層數目增加則造成不穩定區域頻率增加。

目 錄
頁次
摘要………………………………………………………i
誌謝………………………………………………………ii
目錄………………………………………………………iii
圖表目錄…………………………………………………iv
符號說明…………………………………………………vii
第一章 簡介………………………………………………1
1.1 研究動機……………………………………………1
1.2 文獻回顧……………………………………………2
1.3 研究目標……………………………………………5
第二章 實驗設備與程序…………………………………6
2.1 實驗設備……………………………………………6
2.2 試片製作……………………………………………7
2.3 材料常數量測………………………………………8
2.4 複材板動態不穩定實驗……………………………10
2.4.1 彈簧勁度與直流線圈電流之關係…………10
2.4.2 複材板試片不穩定行為觀測………………11
第三章 複材板動態不穩定行為分析……………………13
3.1 複材板運動方程式…………………………………13
3.2 模態分析……………………………………………14
3.2.1 有限元素模態分析…………………………15
3.3 參數激振動態方程式………………………………19
3.4 參數不穩定區域判別………………………………28
第四章 結果與討論………………………………………30
4.1 ANSYS模態分析……………………………………30
4.2 複材板參數不穩定區域……………………………32
4.2.1 複材板疊層角度之影響……………………34
4.2.2 複材板長寬比之影響………………………35
4.2.3 複材板疊層數目之影響……………………35
第五章 結論………………………………………………37
參考文獻…………………………………………………38
圖表………………………………………………………43

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