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 |
相關次數: | 點閱:115 下載:2 |
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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.
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