傘齒輪及傘齒輪模具三次元量測方法研究

Study on the Geometry Measurement of Bevel Gear and Its Mold on a Gear Coordinate Measuring Machine

李文榮(Li, Wenjung)

指導教授 ： 馮展華

國立中正大學/工學院/機械工程學系/碩士(2012年)

摘要

本論文將針對傘齒輪及傘齒輪模具之掃描式三次元量測方法進行探討。首先，建立齒輪三次元量測機台之數學模型，並規劃傘齒輪及傘齒輪模具掃描式量測法之最短量測路徑。接著，利用程式撰寫虛擬三次元量測系統，其中待測物模型將以STL檔案格式匯入，並於載入模型後對資料進行分區處理，藉以加快量測模擬之速度。接著，利用空間幾何判斷法則，進行虛擬探頭、測桿及夾治具之碰撞偵測及量測路徑模擬。最後，連線三次元量測實驗機台執行實際齒面量測，以對所模擬之量測路徑進行驗證。
　　傘齒輪模具在其製造過程中將累積許多加工誤差，因此透過其齒輪模具量測結果與此模具所生產之模造齒輪量測結果進行交叉比較，透過Ease off分析即可得知其誤差修整量，本研究量測之結果可作為日後齒輪模具修整相關研究之基礎，以期達成高精度之模造齒輪。
　　本研究亦針對無理論點資料之傘齒輪齒面進行量測探討，透過曲面擬合之方法，建立齒面量測點資料及法向量，本研究之方法亦可運用至齒輪模具及其它無理論量測點資料之齒面量測上。

關鍵字

曲面擬合 ； 量測 ； 模擬 ； 模具 ； 傘齒輪

並列摘要

Methods for coordinate measuring bevel gear and its mold are studied in this research. First, the mathematical model of the coordinate measuring machine is established and the shortest paths of measuring bevel gear and its mold are planned. Then, the 3D model of the workpiece is imported into the virtual coordinate measuring system in STL format.
The STL file of the workpiece is segmented into different arrays with the database partition processing method to increase the speed of simulation. The measured data points are obtained by the better collision rules between the probe head and the tooth profile. Therefore, the simulation program is able to evaluate the possibility of path planning before actual operation. The simulation program is also used to study the compensation method for measuring machine and fixture errors. Finally, the path planning is performed on the real coordinate measuring machine to verify the tooth surface measurement planning.
Machining deviations are accumulated in the bevel gear mold manufacturing process. These corrections can be obtained by analyzing the differences between the measurements of mold and molded gear with Ease-off method. The research can be applied to manufacture high precision molded gear.
Study on measuring unknown gears without theoretical measuring data are included in this research, too. The flank coordinates can be obtained by minimizing the topographic error between fitting surface and unknown flank. It also can be applied in measuring gear mold and other kinds of gear without theoretical measuring data.

並列關鍵字

Surface Fitting ； Measurement ； Simulation ； Mold ； Bevel Gear

參考文獻

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