應用CNC強力刮齒於螺旋面齒輪加工之數學模型建立;Mathematical Modeling of CNC Power Skiving Process for Manufacturing Helical Face Gears

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Title:	應用CNC強力刮齒於螺旋面齒輪加工之數學模型建立;Mathematical Modeling of CNC Power Skiving Process for Manufacturing Helical Face Gears
Authors:	黎可桂;Qui, Le Khoe
Contributors:	機械工程學系
Keywords:	螺旋面齒輪;強力刮齒;齒輪刮齒;敏感度矩陣;helical face gear;power skiving;gear skiving;sensitivity matrix
Date:	2023-07-28
Issue Date:	2024-09-19 17:41:25 (UTC+8)
Publisher:	國立中央大學
Abstract:	現今面齒輪加工一般使用插齒(Gear shaping)或滾齒(Gear hobbing)的方式來生產。目前已有多項研究提出應用強力刮齒加工技術於直齒面齒輪，然而尚未有將強力刮齒技術應用於螺旋面齒輪之相關研究。因此，本研究提出了將強力刮齒應用於螺旋面齒輪加工之數學模型。本研究對齒條進行修正來創成螺旋的強力刮齒刀具，並透過機台加工過程中，於各軸加入多項式方程式作為附加運動來調整數控機床之切削路徑，而後進行刮齒加工模擬面齒輪表面以求得具附加運動之多項式係數。此外，本研究利用Levenberg-Marquardt算法以及敏感度矩陣來計算面齒輪多項式係數及磨料餘量，進而達到精度等級為B6之齒面（ANSI/AGMA 2009-B01標準），最後透過數值範例來驗證所提出方法之實用性。;Nowadays, face gears are machined by gear shaping or gear hobbing. Several studies have been conducted on applying gear skiving processes to generate "straight-tooth" face gears. Even so, a skiving methodology to manufacture "helical-tooth" face gears is not proposed yet. This study proposes a mathematical model for simulating helical face gears using the power skiving process. A helical skiving cutter is generated using a corrected rack. The cutting path on the CNC machine is then adjusted by adding additional motions in the form of polynomials. A skiving simulation is performed to attain the face gear surface with the specified polynomial coefficients. The Levenberg-Marquardt algorithm and sensitivity matrix are employed to calculate the new polynomial coefficients to attain the gear surfaces with the accuracy grade of B6, based on the (ANSI/AGMA 2009-B01 standard) and even grinding stocks. The numerical results and machining simulation results have verified the practicability of the proposed method.
Appears in Collections:	[Graduate Institute of Mechanical Engineering] Electronic Thesis & Dissertation

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