漸開線錐狀齒輪主要優點為在平行軸的使用時，可藉由控制齒輪在旋轉軸上的裝配位置來調整背隙之大小，因此應用在許多機器上，如減速機、動力輸出裝置及其他裝置。由錐狀齒輪之幾何外廓，可使用在平行軸、相交軸與歪斜軸之傳遞動力。在平行軸的使用上，可使用凸型錐狀齒輪以避免邊緣接觸與嚙合衝擊；在相交軸或歪斜軸的使用上，凹型錐狀齒輪則可降低在嚙合過程之接觸應力。因此本研究之目的在於提出一種生成機構，能以較高的效率來製造凸型與凹型錐狀齒輪，並研究此種齒輪之特性。
　本研究提出一種使用滾齒刀以圓弧路徑加工生成凸型與凹型錐狀齒輪之機構與方法。並根據齒輪原理建立凸型與凹型錐狀齒輪之曲面設計、曲率分析以及齒印接觸分析模式。亦依據曲率分析之相關推導，提出設計參數避免過切範圍之作法，並以實例分析齒輪的曲面特性與印證結果的正確性。
　由齒印接觸分析結果可知，凸型與凹型錐狀齒輪對在理想裝配或存在裝配誤差的情況下，運轉過程中均能維持定轉速，且接觸點的軌跡在空間中為一條直線。本文之研究成果於學術及應用上均有其參考價值。

　The main advantage of using beveloid gears to transmit the power between parallel axes, is that their backlash is adjustable by shifting the gear along its rotating shaft. Thus their applications have been found in various machines, such as speed reducers, transmissions, and other devices. Due to their geometry, they can be used to transmit the power between parallel, intersected, or crossed axes. Using a pair of convex beveloid gears on parallel axes, the edge contact induced by axial misalignments may be avoided. If the axes are non-parallel, concave beveloid gears can be used to reduce the contact stress. The main goals of this research are to propose a generating mechanism to manufacture convex and concave beveloid gears with higher efficiency, and to investigate the characteristics of these gears.
　A mechanism of using a hob tracing with a circular arc, to generate convex and concave beveloid gears, is proposed. Based on theory of gearing, the models for the surface design, curvature analysis, tooth contact analysis, and contact ellipse analysis of the gear are developed. Consequently, the methodology to determine the ranges of design parameters for avoiding undercutting of the gear is proposed. Examples are included to demonstrate characteristics of the gears, and to verify the correctness of the developed models in this study.
　According to the results, using a pair of convex or　concave beveloid gears to transmit the power between two axes, their angular speed ratio is a constant as the specified one, even there are axis misalignments; and their loci of contact are straight line-segments. It is believed that the results are valuable in both of the academic field and industrial applications

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