臺灣博碩士論文加值系統

本文可分成數值分析和實驗設備的架設與測試二大部分。在數值分析方面，主要以有限元素法之理論為基礎，以MATLAB程式設計軟體為工具，撰寫用以分析轉子-軸承系統的數值分析程式。在轉子-軸承系統中包含了剛性圓盤、彈性均質轉子、以及兼具了彈性與阻尼的軸承，推導過程中考慮了轉子的平移慣性、轉動慣性、陀螺力矩和剪力效應。為了驗證分析程式的正確性，文中針對簡單均勻轉子在平面彎曲的自然頻率、振動模態、和臨界轉速的理論值做了比對。之後再進一步分析包含了三個圓盤的轉子-軸承系統，其中包括元素數目的影響、迴轉頻率、坎貝圖以及臨界轉速相對於軸承勁度的關係圖。分析結果證實了分析程式的正確性，並可作為轉子-軸承系統在設計以及預測分析上的工具。
在實驗設備的架設與測試方面，本文承續了前人努力的成果之後又陸續完成了RGT-3600微型渦輪機相關硬體設備、量測設備的架設、子系統的建構、以及感測元件、燃油供應、燃油霧化、啟動馬達、燃油點火等各項系統的測試工作，並且累積了許多寶貴的工作經驗與實驗結果。在渦輪機可正常的點火啟動和關車熄火之後，即可針對渦輪機的性能、效率、耗油率、輸出扭矩等做更多、更進一步的測試。

This paper can be divided into two parts, which are numerical analysis and experimental equipment construction and testing.
In numerical analysis, we mainly use the finite element method as our basis and MATLAB program design software as our tool, to write the numerical analysis program for a rotor-bearing system. This rotor-bearing system consists of rigid disks, distributed parameter finite rotor elements, and discrete bearings. During modeling of the system, the finite element model includes the effects of translation inertia, rotatory inertia, gyroscopic moments, and shear deformations. In order to verify the numerical analysis program, we choose to analyze the simple uniform rotor. We calculate and compare its natural frequencies, mode shapes, and critical speeds in bending with the theoretical results. After that, we further analyze a more complex system, which contains three disks and two bearings. The influences of the element number, the whirl frequency, the Campbell diagram, and the critical speed versus bearing stiffness diagram were studied.
In experimental equipment construction and testing, we continue to progress on the RGT-3600 micro turbine and completed the related works of the equipment construction and testing. It includes the assembly of the hardware, the build of the measurement equipments, the construction of the sub-systems and the test of the sensor elements, the fuel supply, the fuel atomization, the fuel ignition, and the starting motor. We were able to get the micro turbine started properly and shut down safely. In addition, we accumulated many valuable experiences as well as test data.

摘要 I
Abstract II
致謝 III
目錄 V
表目錄 VIII
圖目錄 X
符號說明 XV
第一章 緒論 1
1-1 前言 1
1-2 研究動機 2
1-3 研究目的 6
1-4 研究方法 7
1-5 文獻回顧 8
第二章 理論分析 14
2-1 基本樑理論 15
2-2 剛性圓盤動能之推導 18
2-3 彈性軸動能之推導 19
2-4 彈性軸位能之推導 20
2-4-1 由彎矩造成的位能 20
2-4-2 由剪力造成的位能 21
2-5 具剪力效應之形狀函數 22
2-6 運動方程式之推導 26
2-6-1 圓盤之運動方程式 26
2-6-2 轉軸之運動方程式 26
2-6-3 軸承之運動方程式 28
2-6-4 系統之運動方程式 28
2-7 運動方程式之求解 29
2-7-1 自然頻率 29
2-7-2 臨界轉速 30
2-7-3 倍頻線之交點 31
第三章 數值分析 33
3-1 分析程式簡介 33
3-2 分析程式驗證 34
3-3 多轉盤轉子分析 36
第四章 實驗系統架設 40
4-1 硬體設備架設 40
4-2 量測設備架設 41
4-3 子系統建構 44
第五章 實驗系統測試 48
5-1 感測元件測試 48
5-2 燃油供應系統測試 50
5-3 燃油霧化測試 52
5-4 啟動馬達測試 53
5-5 燃油點火測試 54
第六章 結果討論 59
6-1 數值分析結果討論 59
6-2 實驗測試結果討論 61
第七章 結論與建議 67
參考文獻 70
附錄 134

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