離心泵葉輪為三維扭轉曲面，其流體沿著曲面來改變流向或改變流體速度與壓力，促使能量提昇。而干涉程度大、形狀複雜、葉片外廓建構不易、多軸加工困難與複雜的流場特性，涵蓋著流場分析與五軸加工技術；同時，其相關技術亦為國防科技發展的關鍵技術。國內技術之獲得相當昂貴且不易。如何將離心式葉輪精確地分析與加工設計，突破瓶頸並有效提昇其性能，顯然是一項重要的課題。
　　本研究有鑑於此，將創成加工理念的體積掃掠法導入葉輪設計之前，建構流體葉輪外形，建立加工方法並討論之；同時以解析式三次仿線與數值曲線有理式B仿線分別合成葉片空間曲線，將曲線參數、流場參數與加工參數作結合，分別比較不同的曲線葉形對流場效能之影響；並針對第四軸旋轉角與葉頂間隙對流場的影響加以討論。加工規劃方面，本研究針對不同曲線的加工運動分析做討論，並以扇形高度的概念來規劃刀具路徑；以向量幾何研判加工路徑是否與葉片干涉；以主曲率半徑決定刀具直徑的選取與葉片表面過切與否。最後對加工規劃結果之合理性做一討論。

　　The centrifugal impeller is a three-dimensional twisted surface. The energy is generated by velocity and pressure converting. The centrifugal impeller has some hard works, such as the interference of machining, the complex shape of blades, the difficulty in setting up blades and multi-axial machining, and the complicated fluid characteristics. That includes the flow simulation method and five-axial machining technology, and the related technique is also the key point of national defense industry. It is difficult and expensive to get the technique in Taiwan. Obviously, it is an important business that how to design and to analyze the performance of centrifugal pump accurately. There has many obstacles to overcome.
　　Therefore, the volume swept method based on the generated machining concept is advanced by the design of centrifugal impeller in this research. And it is discussed that how to create the profile of centrifugal impeller and machining method. The analytical spline and the rational B-spline will be introduced for the space-curve construction and curve parameters, fluid parameters, and machining parameters will be combined. Then it is found that the influence of curve on the performance of flow field. It is discussed that the fluid characteristics of tip clearance, the influence of tip clearance, and the twisted angle of impeller blades on the performance of flow field. Machining kinetic analysis of different curve is discussed in this research, and planning of tool path was worked by the concept of scallop height. At the same time, this research uses vector analysis to determine that the possibility of collision, and detects the possibility of over-cutting by the principal curvature. Finally, the performance of machining planning was estimated in this research.

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