大直徑齒輪在成形研磨加工時，會因工件夾持、機台幾何誤差，以及加工時受力、受熱等因素，造成實際加工齒面與理論設計齒面不一致，因此需進行齒面誤差量測，再根據誤差值進行齒面誤差修正，以提高齒輪精度。國內現有的做法為齒輪加工完，再將齒輪工件移至高精度的檢測儀器上進行量測，然而因拆裝過程中所造成的裝載誤差與時間的浪費，降低了齒輪的精度與生產的效率。有鑑於此，本論文發展了一套五軸CNC成形砂輪磨齒機線上量測評估系統，在圓柱齒輪研磨加工後能即時量測齒輪齒面，並計算齒面之誤差值、繪製誤差曲線圖與評估誤差精度等級，做為後續閉迴路齒面誤差修正技術的基礎。建立之線上量測系統是採用掃描式量測，來加快量測速度，以及提高量測精度，而開發之量測工序包含有(1)齒形、(2)導程、(3)節距，和(4)齒面拓樸點。
本論文參考德國和美國國家齒輪標準規範中的各項齒輪評估誤差定義，其掃描式線上量測NC路徑規劃則是參考德國Klingelnberg公司之P40齒輪量測中心的量測路徑，並以理論漸開線為基礎，推導齒輪量測點位置之數學模式。使用Visual Basic 2008做為開發平台，開發一套齒輪精度評估分析軟體，並使用台灣科技大學精密傳動實驗室張欽宇同學所撰寫的五軸CNC成形砂輪磨齒機NC路徑模擬與碰撞檢測軟體，進行線上量測NC路徑模擬，其結果已驗證本論文推導之量測探頭中心位置數學模式無誤。

During the large-size gear manufacturing by form grinding, the actual tooth surfaces will be different from the theoretical tooth surfaces because of the clamping fixture, machine error, and force or heat deflection. Therefore, the gear tooth deviation should be measured and then the flank correction is implemented based on the gear tooth deviation to improve the precision of gear. In domestic gear industry, most gears are off-machine measurement after manufacturing, but the errors and the time-consuming between loading and unloading will reduce the precision of gear and the efficiency of production. For this reason, we develop the on-machine measurement and the precision evaluation software for cylindrical gear on the five-axis CNC gear profile grinding machine. It can immediately measure the gear tooth deviation on-machine after grinding, calculate the values of gear tooth deviation, draw the figures of deviation curve, and evaluate the accuracy grades of gear tooth. In addition, this evaluation result can be the foundation for the follow-up research about closed-loop flank correction technology. Here, the scanning measurement is implemented on this on-machine measurement to increase the speed and the precision of measurement, and the developed measuring processes include (1) the flank deviation, (2) the lead deviation, (3) the pitch deviation, and (4) the flank topographic deviation.
In this thesis, the definitions of gear tooth deviation are referred to Germany and American national standards, the NC programming is referred to the measuring paths of Klingelnberg P40 gear measuring center, and the mathematical models for position of measuring probe are also derived based on the theoretical involute curve. We use Visual Basic 2008 as a tool to develop the evaluation software for gear tooth accuracy. Finally, we use the 3-D virtual reality NC path simulation and collision detection system, which are developed by Chin-Yu Chang in the precision transmission laboratory of NTUST, to simulate the NC codes of on-machine measurement. The mathematical model for the position of the measuring probe derived in this thesis is verified by the result of simulation.

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