現今的齒輪量測專用機，如克林貝格公司的P系列和格里森公司的GMS系列，皆為四軸架構，它們皆配備接觸式掃描探頭系統，測量精度非常高。但接觸式量測有兩個主要缺點：(1) 耗時長，(2) 難以量測模數小於0.5 mm的小齒輪。由於上述缺點，使非接觸式量測成為近年來主要研究方向。
本研究旨在開發螺旋傘齒輪之線雷射輪廓感測器非接觸式量測系統。我們建立了測量機的座標系統，此機台有五個軸，四個用於測量運動(X、Y、Z、C)，一個用於線雷射輪廓感測器的投射角度定位(A)。首先根據理論齒輪的齒面點推導節距和齒面量測的五軸座標位置；再使用這些座標位置來編程NC路徑以量測傘齒輪的節距和齒面拓樸誤差；之後，我們提出了一種基於德國標準 DIN 3965-2 的方法來評估節距和齒面拓樸誤差。本研究採用雙轉台式的五軸工具機作為量測實驗機，並將量測結果與克林貝格公司的 P40齒輪量測中心機的量測報告進行比較，兩者的節距與齒面最大誤差在 4 μm 和 0.02 mm 之內。此結果驗證了本研究提出之方法的正確性。

Nowadays, the measuring machines for gears, such as the P series of Klingelnberg and the GMS series of Gleason, are all four-axis structures. They are equipped with a contact scanning probe system and have high measurement accuracy. The contact measurement has two main disadvantages: (1) it takes a long time, and (2) it is difficult to measure small gears with less than a 0.5 mm module. Due to the above drawbacks, non-contact measurement has become more popular recently.
This research aims to develop a non-contact measurement system of spiral bevel gears using a laser profile sensor. We establish the coordinate systems of the measuring machine. This machine has five axes, four for measuring movement and one for projection angle positioning of the laser profile sensor. The five coordinates of pitch and flank measurements are derived firstly according to theoretical gear flank points. The NC codes are programmed for measuring pitch and flank deviations of bevel gears according to those coordinates. After that, we propose a method based on DIN 3965-2 to evaluate the pitch and tooth flank errors. Here, a double-rotary-table type five-axis machine is adopted as an experiment machine. The results are compared to the report of the Klingelnberg P40 gear measuring center. Their pitch and the maximum tooth flank deviations are within 4 μm and 0.02 mm of each other, respectively. Those results verify the correctness of the proposed method.

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