中文摘要

本論文的目的在提出一套具延性輪磨(Ductile-Regime Grinding)功能之加工機的設計法則。其中以研究加工系統之結構剛性、阻尼及刀具與工件的質量在不同的震動源影響下，砂輪與工件之相對震動量所受到的影響，以此來對各參數建立一套設計法則。

文中首先建立徑向及軸向輪磨加工機的模式，並分析徑向及軸向輪磨系統模式受不同的震動源影響時，砂輪與工件間之相對震動量的變化趨勢。方法上，以四階Runge-Kutta數值方法來模擬輪磨加工機的徑向及軸向行為，並由模擬中歸納出系統參數的設計趨勢，最後對參數設計上的衝突做最佳化處理。

經由分析，在設計上要使砂輪與工件間之相對震動量最小，應把工件質量，刀具的支撐剛性與阻尼，工件的支撐剛性與徑向的支撐阻尼設計為較小值，而把刀具質量及工件軸向的支撐阻尼設計為較大值。

英文摘要

The purpose of this thesis is to propose the rules for designing a grinding system with nano-order of relative vibration. Such a system is aimed to perform the ductile-regime grinding for brittle materials. The study will examine the influence of the structure stiffness, damping, and mass of the grinding system on the relative vibration between grinding wheel and work. Accordingly, the design rules will be proposed. To analyze the relative vibration, the radial and axial models for a grinding system were built. The trends of relative vibration between grinding wheel and work were then analyzed under three kinds of vibration sources. Because of the nonlinearity of system equations, the 4th order Runge-Kutta numerical method was used to calculate the solutions. In addition, the genetic algorithm was used to search an optimum design. From the analysis, several design rules for grinding system, which can minimize the relative vibration, were proposed.

目 錄

謝誌……………………………………………………………………….I
目錄……………………………………………………………….……II
圖索引………………………………………………..………………….V
論文摘要………………………………………………………………IX
英文摘要………………………………………………………………...X

第一章 緒論……………………………………………………………1
1.1 文獻回顧…………………………………………………….1
1.2 精密輪磨加工機的振動問題……………………………….7
1.3 研究的目的及內容………………………………………….9

第二章 徑向系統模式的建立與模擬結果……………………………11
2.1 振動源之概述……………………………………………11
2.2 徑向系統模式的建立……………………………………12
2.2.1 徑向軸的振動……………………………………15
2.2.2 徑向地面的振動…………………………………16
2.2.3 徑向切削剛性的變動……………………………17
2.3 輪磨系統在徑向上之參數與振動源的模擬結果………18
2.3.1 徑向軸的振動模擬結果…………………………18
2.3.2 徑向地面的振動源模擬結果……………………19
2.3.3 徑向切削剛性的變動模擬結果…………………20
2.4 總結………………………………………………………..22

第三章 軸向系統模式的建立與模擬結果……………………………25
3.1 軸向系統模式建立………………………………………25
3.1.1 軸向軸的振動……………………………………28
3.1.2 軸向地面的振動…………………………………29
3.2 輪磨系統在軸向上之參數與振動源的模擬結果………29
3.2.1 軸向軸的振動模擬結果…………………………30
3.2.2 軸向地面的振動模擬結果………………………31
3.3 總結………………………………………………………...33

第四章 系統參數最佳化………………………………………………36
4.1 最佳化搜尋方法的選定…………………………………36
4.2 基因演算法之簡介…...……………………………………37
4.3 系統參數最佳化之模擬結果……………………………...40
4.3.1 基因演算法的參數及策略……………..…………41
4.3.2 電腦模擬結果……………………………………43

第五章 結論……………………………………………………………46

參考文獻………………………………………………………………49

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