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研究生：	徐盛良 Hsu, Sheng-Liang
論文名稱：	磁浮軸承之磁極設計與撓性轉軸動態分析 Pole Design of Magnetic Bearings and Flexible Rotor Dynamic Analysis
指導教授：	蔡南全 Tsai, Nan-Chyuan
學位類別：	碩士 Master
系所名稱：	工學院 - 機械工程學系 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：	96
中文關鍵詞：	撓性轉子、動態分析、磁浮軸承磁極設計
外文關鍵詞：	dynamic analysis, flexible rotor, Pole design of magnetic bearings
相關次數：	點閱：82 下載：3
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　　本論文概分兩部份，第一部份對磁浮軸承進行磁極設計，使用Ansoft Maxwell軟體作為模擬與設計工具。磁極設計涵蓋四種磁極極面與八種磁極組合，同時匹配三極/四極與電磁/永磁混成，也考量到效率，繞線與加工等因素，最後本研究總結並選用一組能夠節省電能18.8%之磁極設計。
　　第二部份為對一不同轉速之撓性轉軸進行動態分析，假設此轉軸為一雷立夫樑(Rayleigh beam)，本文使用解析法、有限元素法與降階法來比較頻率嚮應，對應轉軸各模態與所受磁力嚮應，作為本研究所設計之磁浮轉軸之動態考量。

　　This thesis mainly covers two portions. The first portion stresses on magnetic pole design particularly to be used for the active magnetic bearings, via Ansoft Maxwell software as the simulation and design tool. Four kinds of magnetic pole geometry and eight kinds of magnetic pole allocation are discussed. At the same time, a design concept of hybrid electromagnets/permanent magnets is applied to incorporate with three magnetic poles/four magnetic poles allocation. Efficiency, winding pattern and feasibility of metal-cutting process for mass production are also considered. At the end, a modified magnetic pole design with four magnetic poles allocation is selected because it can save up to 18.8% electric energy , in comparison with conventional design, and perform with higher flux density.
The second portion emphasizes on dynamic analysis of the flexible rotor under different spinning speeds. It is assumed that the shaft is a Rayleigh beam. Analytical method, Finite Element method and Order Reduction method are employed in this research and compared with each other, with respect to frequency response.

目錄


中文摘要………………………………………………………………………	I
英文摘要………………………………………………………………………	II
致謝……………………………………………………………………………	III
目錄……………………………………………………………………………	V
圖目錄…………………………………………………………………………	IX
表目錄…………………………………………………………………………	XIII


第一章 序論……………………………………………………………………	1
1-1 文獻回顧…………………………………………………………………	1
1-2 研究目標…………………………………………………………………	3


第二章 磁極設計……………………………………………………………	6
2-1 有限元素分析法…………………………………………………………	6
2-2 Maxwell軟體之執行流程………………………………………………	7
2-3 假設條件…………………………………………………………………	8
2-3-1 規格與荷重的假設……………………………………………………	9
2-3-2 軸位置…………………………………………………………………	10
2-3-3 材料性質………………………………………………………………	10
2-3-4 設定邊界條件及磁場來源……………………………………………	11
2-3-5 設定有限元素法隔網…………………………………………………	11
2-4 極面形狀…………………………………………………………………	14
2-4-1 磁極尺寸………………………………………………………………	15
2-4-2 平面形磁極……………………………………………………………	18
2-4-3 矩形磁極………………………………………………………………	19
2-4-4 戟形磁極………………………………………………………………	19
2-4-5 修正型戟形磁極………………………………………………………	21
2-4-6 結果與討論……………………………………………………………	22
2-5 磁極數目與種類設計……………………………………………………	24
2-5-1 磁浮軸承磁極數目與種類……………………………………………	26
2-5-2 討論……………………………………………………………………	36


第三章 撓性轉子動態分析…………………………………………………	38
3-1 模態分析(Modal Analysis) …………………………………………	38
3-2 撓性轉子動態分析(I): 解析法………………………………………	40
3-3 撓性轉子動態分析(II): 降階法………………………………………	44
3-4 外力分析 - 磁力部份…………………………………………………	48
3-4-1 永久磁鐵之磁通量(Flux) …………………………………………	48
3-4-2 電磁鐵之磁通量(Flux) ……………………………………………	51
3-4-3 磁力分析……………………………………………………………	53
3-5 轉子系統之自由振動…………………………………………………	58


第四章 轉子動態有限元素分析……………………………………………	59
4-1 利用ANSYS作有限元素分析之步驟……………………………………	59
4-2 參數設定及模擬準備工作……………………………………………	61
4-3 ANSYS模態分析…………………………………………………………	63
4-4 頻率嚮應: 解析法、有限元素法與降階法…………………………	66
4-5 簡諧態分析……………………………………………………………	69
4-6 討論……………………………………………………………………	71


第五章 結論及未來工作……………………………………………………	72
5-1 結論………………………………………………………………………	72
5-2 未來展望…………………………………………………………………	73
參考文獻………………………………………………………………………	77
附錄A. 矽剛片50H400磁滯曲線……………………………………………   79
附錄B. 模態分析……………………………………………………………	79
附錄C. 已加工完成之實驗平台……………………………………………	80
自述……………………………………………………………………………  82

                                    

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校內：2007-07-31公開
校外：2007-07-31公開

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