現有量測個別傘齒輪精度的設備為四軸齒輪量測專用機，如克林根貝格公司的P系列和格里森公司的GMS系列齒輪精度檢測機，它們皆使用三維掃描式探頭系統(3D Scanning probe system)，和搭配各式齒輪量測軟體以檢驗齒輪精度。由於掃描式探頭能快速檢測出齒面輪廓誤差，為能提高齒輪製造精度，裝設線上掃描式探頭量測設備以然成為高精密的齒輪研磨機和切齒機的發展趨勢。雖然國內廠商對於圓柱齒輪機具有一些經驗，但缺乏對傘齒輪量測系統的能力。
本研究主要目標是開發傘齒輪線上量測系統，使用一維掃描探頭在五軸工具機上進行量測。根據DIN 3965標準，傘齒輪精度評估項目包含(1)單間距的變化，(2)累計間距變化，(3)徑向跳動，(4)齒形。因此首先建立傘齒輪測量的數學模型，並以此為基礎開發傘齒輪線上測量和評估系統。我們使用五軸加工機做為實驗機台，同時整合掃描探頭系統與西門子840D控制器資訊，並對傘齒輪進行測量和評估，其量測結果與克林貝格P40齒輪測量機輸出的量測精度報告進行比對，以驗證所提出的數學模式。

The commercialized gear measuring machines, such as Klingelnberg P series and Gleason GMS series gear measurement machine, are all in four-axis structure. They adopt 3D scanning probe system and gear measurement software to inspect the accuracy of gears. Due to the high-speed characteristics of the scanning probe, many high-precision gear grinding and cutting machines are equipped with them to perform a preliminary measurement. The on-line scanning measurement is the key technology for these gear machines. Although domestic manufacturers have some experiences in the cylindrical gear machines, they lack of ability to build the measurement system on the bevel gear machines.
The main goal of this work is to develop an on-line measurement system for bevel gears on a five-axis CNC　machine using one-dimensional scanning probes. According to DIN 3965, tolerances for individual errors for bevel gears are (1) single pitch variation, (2) cumulative pitch variation, (3) runout, and (4) tooth form by CMM. Therefore, a mathematical model for bevel gear measurement is first established as a foundation to develop the on-line measurement and to evaluate these errors. A scanning probe system is also developed to communicate with Siemens 840D controller. We use a five-axis machine 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.
Keywords: On-line measurement system, bevel gear, scanning probe system, five-axis machine, Siemens 840D.

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