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研究生:林軒宇
研究生(外文):Syuan-Yu Lin
論文名稱:三盤式永磁渦電流聯軸器之數學建模與驗證
論文名稱(外文):Mathematical Modeling & Verification of 3-Disks Structure Permanent Magnet Eddy Current Coupling
指導教授:黃勝銘黃勝銘引用關係王勝清王勝清引用關係
指導教授(外文):San-Ming HuangSheng-Ching Wang
口試委員:黃勝銘王勝清林博正劉昭恕
口試委員(外文):San-Ming HuangSheng-Ching WangBor-Jeng LinJo-Shua Liu
口試日期:2016-09-30
學位類別:碩士
校院名稱:國立聯合大學
系所名稱:機械工程學系碩士班
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:2016
畢業學年度:105
語文別:中文
論文頁數:93
中文關鍵詞:永磁渦電流聯軸器調速機構解析解數學模型
外文關鍵詞:permanent magnetEddy currentcouplingadjustable speed mechanismanalytical solutionmathematical model
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永磁渦電流聯軸器系利用永久磁鐵之磁力與導體盤之間磁、電交互作用,來作為兩轉軸間無接觸之轉速與扭矩傳遞。
本文旨在探討與建構在移動的條件下,求解三盤式永磁渦電流聯軸器上的磁場與因相互運動衍生之渦電流、扭矩等問題,並建立此一系統的數學模型。模型首先由傅立葉級數來表示永久磁鐵之磁位向量分布,接著以磁位向量拉普拉斯方程式來表示基本的磁場通解,並依照此通解來建立在每個邊界條件下的磁場方程式,之後再經由聯立運算求出各個邊界條件下之磁場方程式內的未知係數,以推導出在不同條件下所獲得的不同轉矩、磁通密度等特性,再藉由有限元素分析軟體來驗證其準確度。而本文亦設計與製作了一種用於三盤式永磁渦電流聯軸器之新型調速機構,來改善目前市售產品之缺點,並突破現有專利。

The magnetic and electric interaction between the magnetic force of permanent magnet and conductor plate is utilized in permanent magnet Eddy current coupling for contactless rotating speed and torque delivery between two rotation axes.
Under moving conditions, this study aims to solve the problems of magnetic field on 3-disk permanent magnet Eddy current coupling and Eddy current and torque caused by the mutual movement and to establish a systematic mathematical model. The model is first presented the magnetic vector potential distribution of permanent magnet with Fourier series. Magnetic vector potential Laplace equation is then used for presenting the basic general solution of magnetic field. The magnetic field equation under each boundary condition is established according to the general solution. The unknown coefficients in the magnetic field equation under boundary conditions are calculated with simultaneous operation to deduce different characteristics of turning moment and magnetic flux density under distinct conditions. Finite Element Analysis is further applied to verify the accuracy. A new-style adjustable speed mechanism for 3-disk permanent magnet Eddy current coupling is also designed and produced to improve the shortcomings of commercial products as well as to break through current patents.

目錄
摘要 I
Abstract II
誌謝 III
目錄 IV
表目錄 VI
圖目錄 VII
符號說明 XI
第一章 緒論 1
1.1 研究背景與動機 1
1.2 研究目的 3
1.3 永磁渦電流調速器之介紹 4
1.4 國內外主要廠商分析 10
1.5 文獻回顧 13
第二章 永磁調速器之理論分析 18
2.2 磁場分析方法 18
2.3 磁場源數學模型的建立 18
2.4 渦電流與磁場通解之推導 23
2.5 邊界條件之設定與計算 25
2.6 牽引力與扭矩之計算 33
2.7 特性曲線探討 35
第三章 理論與模擬之驗證 38
3.1 模擬流程 38
3.2 三維暫態分析 40
3.3 模擬結果與理論驗證 44
第四章 新型調速機構之設計與製作 53
4.1 同動機構之設計 53
4.2 材質的選用 59
4.3 原型的製作 61
第五章 實驗測試 65
5.1 量測設備與平台的建置 65
5.2 測試數據 69
第六章 結論 72
6.1 結果與討論 72
6.2 未來展望 73
參考文獻 74
附錄 77


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