現有的傘齒輪量測專用機，如克林根貝格公司的P系列和格里森公司的GMS系列，皆是四軸的齒輪量測機，它們皆是搭配三維掃描式探頭系統(3D scanning probe system)，由於掃描式探頭能快速的檢測出齒面輪廓誤差，現今有許多齒輪研磨機和切齒機搭載線上量測設備來檢測齒形誤差，以提高齒輪製造上精度，已是時勢所趨。
掃描式探頭其工作原理為言者理論齒形位置移動探頭，探頭則連著位置感測器，而齒形誤差所造成的探頭偏離原點可即時的讀值與紀錄，位置感測器分一維和三維兩種，兩種感測器價格差異極大，其差異之處是三維感測器能檢測xyz三方向的誤差，所以只需探頭中心沿著理論位置做偏置，以僅需四軸機器即能驅動探頭到達齒面量測位置，一維探頭因其僅有一維度的量測方向，故探頭不只是沿著齒面移動，亦須控制齒面接觸點的法向量指向感測器的量測方向，而這是五軸機器方能達成。
本研究是於五軸工具機上開發一線上三維掃描式量測系統，整合西門子840Dsl控制器及三維掃描式探頭，建立傘齒輪量測數學模式，開發傘齒輪線上量測和精度評估軟體，並實際上機量測一螺旋傘齒輪，量測結果會與克林根貝格P40量測機做數據比較，以驗證本研究之數學模式之正確性。

The commercialized measuring device for bevel gears, such as Klinglnberg P series and Gleason GMS series gear measurement machine, are all in four-axis structure. They adopt 3D scanning probe system. Due to the efficient and high-speed characteristics of the scanning probe, a large number of high-precision gear grinding and cutting machines apply them to detect tooth surface contour error and to improve the accuracy of gear manufacturing.
Scanning probe works by moving the probe along the theoretical contour positions. Meanwhile, the probe is connected to the position sensor, and the contour deviations can be rapidly read out and recorded. Two kinds of the position sensors are utilized: one-dimensional and three-dimensional sensors. There are a large price gaps between the two systems. 3D probe system can detect the errors from the xyz directions, so just moving the probe center along the offset surface of tooth can detect the positions of the tooth surface on a four-axis machine. One-dimensional probe system can only detect a single direction of error, so the probe center is required to move on the tooth offset surface along the normal directions and a five-axis machine is needed to achieve this approach using.
The study aims to develop an on-line measurement system for bevel gears on a five-axis machine using three-dimensional scanning probe. The scanning sensor system is integrated into a five-axis machine equipped with Siemens 840Dsl controller. We will establish the mathematical models for measurement of bevel gears, and the on-line measurement and gear evaluation program will be developed. Here, the five-axis machine (Quaser Machine Tools Inc., UX300 series) is used as the experiment machine. A spiral bevel gear is measured and evaluated, and then the results are compared to the accuracy report of the same spiral bevel gear measured by Klingelnberg P40 gear measurement machine to verify the proposed mathematical models.

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