本論文的研究目的在探討軸承系統參數與特性之因果關係，並建立單軸承參數設計圖表以及主軸系統參數最佳化，最後整合軸承系統運動與動態特性模擬分析成為一套電腦輔助設計軟體，提供主軸設計者明確的設計方向，輔助進行高速與高性能之主軸系統設計。
文中首先根據A.Jones的軸承運動學研究，探討軸承的運動行為，接著結合轉子動力學理論以及減振理論，來探討主軸發生同步旋動(synchronous whirling)下的動態行為，並且經由分析不同的設計參數與操作條件對軸承系統運動以及動態特性的影響，而後再進而建立單軸承系統參數設計圖。而在主軸系統參數最佳化方面，為了能實際應用於主軸系統設計，首先建立非等直徑懸臂軸之主軸系統動態模式。做法上將主軸系統視為軸承組與非等直徑懸臂軸兩部分之串聯，軸承組部分之動態行為如同單軸承動態行為之探討；而非等直徑懸臂軸部分，則模擬為旋轉中之懸臂樑之動態行為模式，利用材料力學與邊界條件來推導出懸臂軸端動態方程式。然而主軸動態特性分析則偏重於懸臂軸端之動態參數對主軸動態特性之影響。最後利用最佳化法則建立一個多設計目標的高速主軸系統參數最佳化，並且允許主軸懸臂端為非等直徑設計。
透過本文所建立的單軸承參數設計圖，主軸設計者能充分掌握單軸承系統特性，搭配主軸系統參數最佳化與軸承系統特性模擬軟體，能輔助設計者進行高性能的主軸系統設計。

The aim of this thesis is to develop a Computer-aided Design software for high speed angular contact ball bearing system. First, to analyze the interaction of among the characteristics and parameters of a high-speed spindle system with angular contact ball bearing. These analyses were based on the kinematics of bearing systems and rotor dynamics. According to these analyses, several design charts for bearing system will be established by computer simulations. Secondly, an optimum design for high speed spindle system will also be proposed. After these analyses, an Computer-Aided Design software for high speed bearing system will be established.
From the study, preliminary design trends about high speed spindle system will be proposed.

謝誌………………………………………………………………………I
Abstract…………………………………………………………………..II
摘要……………………………………………………………..………III
目錄…...………………………………………………………………...IV
圖索引………………………………………………………………….VII
表索引……………………………………………………………….….XI

第一章 緒論…………………………………………………………..1
1.1 前言與研究動機…………………………………………….1
1.2 文獻回顧…………………………………………………….2
1.3 本文內容…………………………………………………….3

第二章 軸承系統特性分析…………………………………………..5
2.1 單軸承系統.…………………………………………………5
2.1.1 運動學…………………………………………………5
2.1.2 動力學………………………………………………..13
2.2 多軸承系統………………………………………………...15
2.2.1 運動學………………………………………………..15
2.2.2 動力學………………………………………………..17
2.3討論…………………………………………………………17

第三章 非等直徑懸臂軸之主軸系統動態分析……………………19
3.1非等直徑主軸系統動態模式建立…………………………19
3.1.1兩段式非等直徑懸臂軸系統之建模…………………20
3.1.2多段式非等直徑懸臂軸系統之建模…………………28
3.2非等直徑懸臂軸之主軸系統穩定性分析………………….32
3.2.1軸徑對穩定性之影響…………………………………35
3.2.2長度對穩定性之影響…………………………………36
3.3討論…………………………………………………………38

第四章 單軸承系統參數設計圖之建立……………………………39
4.1主軸系統設計目標……………………………………….…39
4.2單軸承系統參數設計圖建立…………………………….…40
4.2.1單軸承系統運動特性參數設計圖……………………40
4.2.2單軸承系統動態特性參數設計圖……………………44

第五章 高速主軸系統之參數最佳化………………………………46
5.1參數最佳化之規劃…………………………………………46
5.1.1目標函數之建立………………………………………46
5.1.2設計參數之選定………………………………………47
5.1.3搜尋策略………………………………………………48
5.2參數最佳化搜尋範例……………………………………….51
5.3討論………………………………………………………….53

第六章 高速主軸系統之電腦輔助設計軟體………………………55
6.1 單軸承系統模擬分析…………………………………..….55
6.2 多軸承系統模擬分析…………………….…………..……56
6.3 討論………………………………………………………...57

第七章 結論…………………………………………………………58
參考文獻 ………………………………………………………………61

附錄……………………………………………………………..…

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