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研究生:唐裕翔
研究生(外文):Yu-shiang Tang
論文名稱:拉筋連接葉片對轉子系統振動響應之影響
論文名稱(外文):Vibration of a Shaft-Disk-Blades Rotor with Lacing Wires
指導教授:黃世欽黃世欽引用關係
指導教授(外文):Shyh-chin Huang
學位類別:碩士
校院名稱:國立臺灣科技大學
系所名稱:機械工程系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:89
中文關鍵詞:拉筋鋼索轉子系統
外文關鍵詞:lacing wireswirerotor system
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本研究旨在探討拉筋連接葉片對軸-圓盤-葉片轉子系統響應之影響,文中分別以彈簧及鋼索(wire)模擬連接葉片之拉筋。解析法中首先推導各元件之能量式,再利用假設模態法(assumed mode method)及拉格朗日方程式(Lagrange’s equation),導得系統之離散化運動方程式。研究中亦探討葉片受簡諧外力激振下,於不同拉筋勁度、預拉力下各葉片之頻率響應圖,觀察葉片響應變化並解釋其物理意義,復比較有無拉筋轉子系統葉片之響應差異,最後比較使用不同拉筋在響應上之異同。
由數值結果發現,如預期般,拉筋連接能有效分散葉片之受力響應。增加拉筋勁度、給予拉筋強預拉力可強化系統之結構,進而提高系統固有頻率以及降低受力葉片響應,此現象與物理判斷之趨勢吻合。
This thesis investigated the vibration of response of a shaft-disk-blade rotor system, in which the blades were bounded with lacing wires. In this thesis, massless spring and elastic string were used for modeling the lacing wires. An energy principle in conjunction with the assumed mode method and the Lagrange’s equation were employed to yield the discrete equations of motion.
The research focused on the response of the blades when a uniform harmonic-force act on one blade, with varying wire stiffness, pre-tension force and number of blades. FRF diagrams were drawn to observe how the individual responses changed with lacing wires and explain action from the physical viewpoints were drawn. Comparisons of the response with and without lacing wires were particularly addressed.
As expected , lacing wires can effectively depress the response of the forced blade and spread out the forces through the connecting blades. Increasing the wire stiffness and pre-tension force would strength the system structure, such that increase the nature frequency.
論 文 摘 要 I
Abstract II
誌 謝 III
目 錄 IV
圖 表 索 引 VI
符 號 索 引 X
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 9
第二章 轉子系統之運動方程式 11
2.1 轉子元件之基本假設與能量式 11
2.1.1 彈簧之能量式 16
2.1.2 鋼索之能量式 16
2.1.3 外力作功 17
2.2 離散化運動方程式 18
2.2.1 能量式之離散化 18
2.2.2 運動方程式 22
第三章 具拉筋之轉子系統強迫振動分析 29
3.1 數值定義 29
3.2 彈簧模擬拉筋 30
3.3 鋼索模擬拉筋 33
3.3.1數值範例 35
第四章 參數之比較 66
4.1 預拉力之影響 66
4.2 拉筋勁度之影響 67
第五章 結論與未來研究方向 80
5.1 結論 80
5.2未來可行之研究方向 83
參考文獻 85
作 者 簡 介 89
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[13] Ewins, D. J. and Imregun, M. “Vibration Modes of Packeted Bladed Disk,” ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 106, April, pp. 175-180(1984).
[14] Huang, Wen-hu, “Free and Forced Vibration of Closely Coupled Turbomachinery Blades,” AIAA Journal, Vol. 19, No. 7, pp. 918-924(1981).
[15] 李彥瑾,群聚葉片之模擬與振動分析,國立台灣科技大學碩士學位論文(2004)。
[16] 陳易興,具覆環群組葉片之振動分析,國立台灣科技大學碩士學位論文(2005)。
[17] Chun, S. B. and Lee, C. W., 1996, “Vibration of Shaft-Bladed Disk System by Using Substructure Synthesis and Assumed Modes Method,” Journal of Sound and Vibration, Vol. 189, pp. 587-608.
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[22] Yang, Chia-Hao and Huang, Shyh-Chin, “Coupling Vibrations in Rotating Shaft-Disk-Blades System,” ASME, Journal of Vibration and Acoustics, Accepted.(2004)
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