應用CNC 強力刮齒於直齒面齒輪齒面拓樸修整之數學模型建立;Mathematical Modeling of Applying CNC Power Skiving on Tooth Surface Topology Modification for Spur Face Gears

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题名:	應用CNC 強力刮齒於直齒面齒輪齒面拓樸修整之數學模型建立;Mathematical Modeling of Applying CNC Power Skiving on Tooth Surface Topology Modification for Spur Face Gears
作者:	陳宏桂;Quy, Tran Hoang
贡献者:	機械工程學系
关键词:	強力刮齒加工;面齒輪;拓撲修整;敏感度矩陣;Power skiving;Face gear;Tooth surface modification;Sensitivity method
日期:	2023-07-28
上传时间:	2024-09-19 17:41:16 (UTC+8)
出版者:	國立中央大學
摘要:	目前，強力刮齒切削是齒輪制造中極高效率的加工方式。為了提高面齒輪的製造效率，本研究提出了一種通用的方法，通過應用強力刮齒切削齒輪的方法和一種靈活的數值方式来修正面齒輪齒面上的法線偏差。理輪上的面齒輪齒面是通過直齒型面齒輪與直齒小齒輪之間的共軛條件推導出来的。本研究之數學模型建構是基於齒條切割刀具的法向截面與配有強力刮齒刀之 CNC 加工機加工面齒輪的原理來定義。由於強力刮齒刀的非對稱，本研究計算了面齒輪的表面法線偏差，並對機床上的軸進行調整，使其作用於面齒輪齒面拓樸修型的数学模型上。然後採用基於 Levenberg-Marquardt （ LM）的最小化算法來進行敏感度矩陣的計算，最終計算出機床各軸的加工系数，從而實現控制面齒輪齒面上的法线偏差。;Power skiving is currently the most efficient process for gear manufacturing. To improve the manufacturing productivity of face gears, this study proposes a general method for geometric generation of face gears by applying the gear power skiving method and a flexible numerical approach for correcting normal deviations on the face-gear tooth surfaces. The theoretical face-gear tooth surfaces are derived using the conjugation relationship between the spur face-gear and the spur pinion. Mathematical modelling is defined for the conical skiving cutter based on a normal section of rack cutter and the machining principle of face gear on the CNC gear skiving machine. Due to the asymmetric skiving cutter, surface normal-deviations of the face gear are calculated, and the mathematical model of the machine-axis modification for the face-gear tooth topology modification is studied. Finally, a sensitivity correction method based on the Levenberg-Marquardt (LM) minimization algorithm for calculating the machine motion coefficients is employed to achieve the desired normal deviations on the face-gear tooth surface.
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