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研究生: 羅國強
Guo-Xiang Luo
論文名稱: 含開閉裂縫轉子系統在加速過程中之暫態振動分析
指導教授: 王有任
Yu-Zane Wang
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
畢業學年度: 88
語文別: 中文
論文頁數: 57
中文關鍵詞: 傳遞矩陣法開閉裂縫暫態振動分析轉子系統
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  • 本文利用傳遞矩陣法將系統分解為若干軸段與接點,並分別建立其傳遞矩陣,再連乘組合起來成為整個系統之傳遞矩陣。代入適當邊界條件後,求得系統的自然頻率及模態。其中轉軸以Timoshenko樑理論為基礎,利用能量法(漢彌爾頓原理 Hamillton’s Principle)推導出軸的運動方程式,進而求得軸段的傳遞矩陣,而裂縫方面利用Dimarogonas等人所推導出之局部柔度矩陣,關於開閉(breathing)裂縫則使用截斷餘弦函數(truncated cosine series)來模擬其開閉情形。


    目錄 摘要………………………………………………………………………2 目錄………………………………………………………………………3 圖目錄…………………………………………………………………...5 符號說明…………………………………………………………………6 第一章緒論……………………………………………………………9 1-1研究動機…………………………………………………...9 1-2文獻回顧…………………………………………………...9 1-3研究方向………………………………………………….11 第二章理論推導……………………………………………………..13 2-1軸段之公式推導與求解………………………………….13 2-2轉軸元素的傳遞矩陣…………………………………….21 2-3軸徑變化點的傳遞矩陣………………………………….23 2-4常開裂縫的傳遞矩陣…………………………………….26 2-5開閉裂縫的傳遞矩陣…………………………………….30 2-6轉子系統的邊界條件…………………………………….33 2-7傳遞矩陣法分析………………………………………….34 第三章數值結果與討論……………………………………………..36 第四章結論…………………………………………………………..41 圖例……………………………………………………………………..43 參考文獻………………………………………………………………..55 附錄……………………………………………………………………..57

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    9. W.M.Ostachouicz and M.Krawczuk, 1991, Journal of Sound and Vibration, Vol. 150, pp. 191-201.“Analysis of the effect of cracks on the natural frequencies of a cantilever beam.”
    10.C.A.Papadopoulos and A.D.Dimarogonas, 1992, ASME, Journal of Vibration and Acoustics, Vol. 114 , pp.461-467.“Coupled Vibration of a cracked shafts.”
    10.C.A.Papadopoulos and A.D.Dimarogonas, 1992, ASME, Journal of Vibration and Acoustics, Vol. 114 , pp.461-467.“Coupled Vibration of a cracked shafts.”
    12.L.-W. CHEN and H.-K. CHEN, 1995, Journal of Sound and Vibration, Vol. 188, pp. 497-513.“Stability Analysis of a Cracked Shaft Subjected to The End Load.”

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