臺灣博碩士論文加值系統

離心壓縮機是現代工業中相當重要的一種設備，其運作的穩定性不僅影響載具與工廠的運作，運轉過程發生疲勞失效時可能導致嚴重事故，本文將透過不同的幾何條件探討離心壓縮葉片的振動疲勞特性。改變的幾何條件包括葉根厚度、葉尖與葉根厚度比、葉片出口角度三個參數，使用Ansys中的CFX與Static Structural模組模擬其工作條件例如流體壓力負載與結構旋轉負載，並導入Harmonic Response進行簡諧響應分析，進一步求解其在徑向加速度條件下的振動疲勞壽命。
結果顯示葉根厚度對於振動疲勞壽命有較顯著的影響，較厚的葉根厚度將有較良好的振動疲勞壽命。不過透過增加葉根厚度改善振動疲勞性能的同時須注意到葉輪的等熵效率有明顯下滑的趨勢，相關領域的研究需多加注意兩者間的關係。

A centrifugal compressor is an important equipment in modern industry. Its operational stability not only affects the performance of vehicles and factories but can also lead to severe accidents if it comes to failure. This research explores the vibration fatigue characteristics of centrifugal compressor impeller under various geometric conditions. The geometric variables altered include thickness of blade root, ratio of blade tip to blade root thickness, and rake angle. Using the CFX and Static Structural modules in Ansys, we simulate operating conditions such as fluid pressure loads and rotational loads. Additionally, a Harmonic Response analysis is conducted to determine the vibration fatigue life under radial acceleration conditions.
The results show that thickness of blade root has a significant impact on vibration fatigue life, with thicker blade roots providing better fatigue life. However, it is important to note that increasing the blade root thickness also results in a noticeable decrease in the isentropic efficiency of the impeller. Therefore, research in this field needs to carefully consider the relationship between these two factors.

誌謝 I
摘要 II
Abstract III
目錄 V
圖目錄 VIII
表目錄 XIV
第一章 緒論 1
1.1 研究背景 1
1.2 文獻回顧 5
1.3 研究目的 8
1.4 研究方法 8
1.5 論文結構 9
第二章 數值方法與應用理論 10
2.1 流場統御方程 10
2.1.1 連續方程式 10
2.1.2 動量方程式 10
2.1.3 能量方程式 11
2.1.4 狀態方程式 11
2.1.5 紊流模型 12
2.2 數值方法 13
2.3 流固耦合 14
2.4 結構基礎理論 15
2.4.1 應力與應變 15
2.4.2 疲勞壽命 15
2.4.3 S-N曲線 16
2.5 結構模態理論 17
2.5.1 自然頻率 17
2.5.2 模態振型 17
2.5.3 阻尼 18
2.5.4 模態振動分析的非線性控制方程 18
2.6 葉片通過頻率 18
2.7 等熵效率 19
第三章 模擬步驟與設定 20
3.1 模型建立 20
3.2 模態分析 25
3.3 CFD流固耦合 28
3.3.1 CFX流場模擬設定 28
3.3.2 流固耦合設定 35
3.4 最小疲勞壽命求解設定 36
3.4.1 求解響應頻率 36
3.4.2 求解最小疲勞壽命 40
3.4.3 最小疲勞壽命條件 41
3.5 葉輪效率模擬 44
第四章 模擬結果與討論 45
4.1 疲勞壽命模擬結果 45
4.2 頻率差異 52
4.3 葉輪效率差異 55
第五章 結論與未來展望 59
參考資料 61
附錄 65

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