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研究生: 傅世宏
Shih-Hong Fu
論文名稱: 具拉筋連接葉片之軸-圓盤-葉片耦合振動特性分析
The Characteristics of Coupling Vibrations in a Rotating Shaft-Disk-Blades System With Lacing Wired Blades
指導教授: 黃世欽
Shyh-Chin Huang
口試委員: 黃以玫
Yii-Mei Huang
楊嘉豪
Chia-Hao Yang
呂森林
Sen-Lin Lu
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 90
中文關鍵詞: 拉筋彈簧轉子軸-圓盤-葉片系統假設模態法
外文關鍵詞: shaft-disk-blades system, rotor, lacing wire
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本文探討具拉筋連接葉片之軸-圓盤-葉片耦合振動特性分析,其中以彈簧模擬連接葉片之拉筋。首先求得各元件之能量式,並利用假設模態法及拉格朗日方程式(Lagrange’s equation),導得系統之離散化運動方程式,繼而求得系統之固有頻率及模態。文中分別以四至六根葉片系統為例,分析其固有頻率隨拉筋勁度、連接位置、系統轉速之變化情形,且繪出系統之模態圖並說明其物理意義,及討論比較具拉筋與不具拉筋連接葉片之頻率響應函數。
由數值結果得知,拉筋僅影響系統之BB(inter-blades)模態,而不影響系統之SB (shaft-blade)模態。增加拉筋勁度確可強化系統之結構,且提高系統BB模態固有頻率,此現象與物理判斷所預期之趨勢相吻合。


This thesis discusses the coupling vibrations in a rotating shaft-disk- blades system with lacing wired blades. Massless springs were adopted for simulating the lacing wires. An energy principle in conjunction with the assumed modes method were employed to yield the discrete equations of motion. The natural frequencies and the mode shapes of the system were obtained and four to six blades systems were illustrated as examples. Numerical results showed how the natural frequencies varied with the wire stiffness, connecting position, and the rotational speed. The diagrams of the corresponding mode shapes were drawn and explained as well. The FRF of the wired blades were discussed and compared with no wire cases.
From the results, it has been found that lacing wire did not affect the SB (shaft-blades) modes, and the BB(inter-blades) modes were indeed affected by the lacing wire. As expected, increasing the wire stiffness could strengthen the system structure and increasing the natural frequencies of BB modes.

論文摘要 I 誌謝 III 目錄 IV 符號索引 VI 圖表索引 VIII 第一章 緒論 1 1.1 研究動機與目的 1 1.2 文獻回顧 3 1.3 本文架構 7 第二章 系統之理論分析 9 2.1 軸-圓盤系統之基本假設與能量式 9 2.1.1 軸-圓盤系統之基本假設 9 2.1.2 轉軸之能量式 10 2.1.3 旋轉圓盤之能量式 10 2.2 旋轉葉片系統之基本假設與能量式 11 2.2.1 旋轉葉片系統之基本假設 11 2.2.2 旋轉葉片之能量式 11 2.2.3 彈簧之能量式 14 2.3 能量式之離散化與運動方程式 15 2.3.1 能量式之離散化 15 2.3.2 運動方程式 18 2.4 求解系統之固有頻率 21 第三章 自由振動分析 24 3.1 系統之固有頻率與固有模態 24 3.2 彈簧勁度( )之影響 29 3.3 彈簧連接位置之影響 30 3.4 轉速( )之影響 32 第四章 強迫振動分析 62 4.1 理論分析 62 4.2 數值分析 64 第五章 結論與未來研究方向 72 5.1 結論 72 5.2 未來可行之研究發展方向 74 參考文獻 76 作者簡介 79

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