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研究生: 高惟禎
Kao, Wei-Chen
論文名稱: 以多層感知器網路輔助液靜壓軸承節流器設計
Design of a Flow Restrictor for Hydrostatic Bearing Using Multilayer Perceptron Network
指導教授: 宋震國
Sung, Cheng-Kuo
口試委員: 林士傑
Lin, Shih-Chieh
丁川康
Ting, Chuan-Kang
學位類別: 碩士
Master
系所名稱: 工學院 - 動力機械工程學系
Department of Power Mechanical Engineering
論文出版年: 2019
畢業學年度: 107
語文別: 中文
論文頁數: 128
中文關鍵詞: 液靜壓軸承節流器多層感知器
外文關鍵詞: Hydrostatic bearing, Flow restrictor, Multilayer perceptron
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  • 液靜壓軸承因其高剛性、高承載力、幾乎無摩擦力等特性,已經被廣泛使用在精密機械加工機產業,而使用於其中之節流器更是影響液靜壓軸承表現的關鍵元件,因此本文致力於研究實驗室過往所設計之溝槽式、自補償式與結合前兩者的複合式節流器,進行物理理論之模擬與實驗驗證,完善此新構形節流器的設計。
    然而,由於對於整個液靜壓軸承系統,其數學模型過於冗長,又為非線性,在做理論模擬時須做非常多的假設條件;再加上實驗的過程中,來自於環境干擾因素的誤差原因,有些理論模擬並無法完全考慮,因此最後導致模擬結果的不準確。
    為解決此問題,本研究利用多層感知器模型可以接受多輸入多輸出與能處理非線性問題等特性,以實驗所取得之數據做為訓練資料,建立一多層感知器網路模型,預測液靜壓軸承系統搭配不同節流器時,隨著供油壓力、負載、節流器結構參數等數值變化時其他相應參數可能的改變,並依此結果輔助新節流器設計時理論模擬的不足,以達到最佳化設計的目標,最後也期待本論文之研究結果能實際應用於精密機械的設計過程之中。


    Hydrostatic bearings are widely used in precision machine tools because of their superior characteristics of high stiffness, high load-carrying capacity, high damping, nearly frictionless and long life. The stiffness of hydrostatic bearings is mainly affected by the use of flow restrictors. With different kinds of flow restrictors, hydrostatic bearings will perform with distinct stiffness. Thus, the goal of this paper is to design a hybrid type restrictor. However, accurate estimation of the bearing stiffness is often unattainable, which may attribute to variation of environment conditions, resistance from oil tube and incompatible assumptions in the physical model of hydrostatic bearings.
    This paper proposes use of multilayer perceptron (MLP) to learn and predict the stiffness of hydrostatic bearings. Different from classical metamodeling method, the MLP model has stronger filtering capacity. It can accept different kinds of variables as input and build a Multi-input Multi-output (MIMO) system. According to this malleable nonlinear model and functions, the MLP model can find the hidden patterns in the data and predict the result.
    The simulation was implemented based on the derived equations and an experimental setup was constructed to investigate the stiffness of hydrostatic bearings. Various kinds of flow restrictors such as groove and self-compensation type restrictor were used in the experiment and pressure, flow rate, load, temperature and oil-film displacement were measured by the corresponding sensors directly. Based on the collected data, the MLP model for the stiffness of hydrostatic bearings can be effectively trained. Compared to the simulation, the predicted results obtained from the MLP model constructed in this paper are more applicable. Therefore, with the method of multilayer perceptron, the stiffness of hydrostatic bearings can be precisely modeled and improved.

    摘要 I Abstract II 致謝 IV 目錄 VI 符號表 X 第一章 導論 1 1-1 研究背景 1 1-2 液靜壓軸承與節流器文獻回顧 3 1-2-1 固定式節流器之研究 3 1-2-2 主動式節流器之研究 4 1-2-3 複合型節流器之研究 5 1-3 人工智慧發展回顧 6 1-4 人工智慧應用於液靜壓軸承 9 1-5 研究動機與本文內容 10 第二章 液靜壓軸承理論公式 12 2-1 液靜壓軸承流阻計算公式推導整理 12 2-1-1 溝槽式節流器 13 2-1-2 環形油墊與自補償式節流器 17 2-1-3 方形油墊 20 2-1-4 方形與圓形封油面流阻公式整理 22 2-2 液靜壓軸承單向墊流阻網路法分析 23 2-2-1 溝槽式節流器 25 2-2-2 自補償式節流器 27 2-2-3 複合式節流器 32 2-3 液靜壓軸承對向墊流阻網路法分析 35 2-3-1 溝槽式節流器 36 第三章 多層感知器網路 39 3-1 多層感知器網路 40 3-1-1 多層感知器網路簡介 42 3-1-2 監督式學習 46 3-1-3 多層感知器網路訓練原理 47 3-2 多層感知器模型建立 52 3-2-1 資料前處理 52 3-2-2 多層感知器網路結構 54 3-2-3 網路驗證 55 第四章 溝槽式節流器實驗研究 58 4-1 實驗設備 58 4-1-1 液靜壓軸承供油與冷卻系統 58 4-1-2 液靜壓軸承小型實驗平台系統 59 4-1-3 感測器 61 4-2 搭配單向墊液靜壓軸承系統 63 4-2-1 實驗原理 64 4-2-2 實驗步驟 64 4-2-3 實驗結果與分析 65 4-2-4 多層感知器網路模型預測 71 4-3 搭配對向墊液靜壓軸承系統 79 4-3-1 實驗原理 79 4-3-2 實驗步驟 79 4-3-3 實驗結果與分析 80 第五章 自補償式節流器實驗研究 84 5-1 調整供油壓力實驗 84 5-1-1 實驗原理 85 5-1-2 實驗步驟 85 5-1-3 實驗結果與分析 86 5-2 調整負載實驗 88 5-2-1 實驗原理 89 5-2-2 實驗步驟 89 5-2-3 實驗結果與分析 90 5-2-4 多層感知器網路模型預測 98 第六章 結論與未來工作 109 6-1 結論 109 6-2 未來工作 110 6-2-1 液靜壓軸承單向墊系統搭配複合式節流器 110 6-2-2 自補償式節流器設計改善 112 6-2-3 對向墊系統 113 6-2-4 多層感知器網路模型 114 附錄 115 A. 毛細管節流器流阻推導 115 B. 盤形彈簧彈性係數量測 120 參考文獻 124

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