Non-circular gear continuous generating machining interpolation method and experimental research

Abstract

Current non-circular gear manufacturing process all use discrete machining method, which generates a large number of small line segments, brings in approximate error, and leads to high-order discontinuity of the whole tool path curve. The tooth surface quality will be decreased significantly due to the vibration of machining tool caused by the discontinuity of machine tool motion trajectory especially in high-speed machining. In addition, the processing speed and efficiency will be limited due to the unsmooth kinematics profile. This paper proposes a noncircular gear completely continuous generating machining interpolation method. The non-circular gear machining electronic gearbox is developed to compute the real-time interpolation point data to guarantee the strict generating motion relationship between the workpiece spindle, feed shaft, and cutter spindle during the gear manufacturing process according to the derived linkage model for noncircular gear hobbing and generate continuous smooth machining trajectory. The proposed interpolation method is implemented on the self-developed CNC system based on the embedded CNC system hardware structure platform and verified experimentally on a gear hobbing machine. A pair of two-order oval non-circular gear is machined, and the roll and application experiments on a kind of gear pumps are done to illustrate the machining performance and provide a high efficiency and precision machining method for non-circular gear.

A Modified Approach to the Rack Generation of Beveloid Gears

“…The mathematical model proposed in this study, can be extended to different gear geometries such as non-circular, cylindrical gears, and curvilinear gear teeth [19], [20] and [29], and internal gears [30]. Also parabolic modification [17] and [18]…”

“…Litvin's Vector Approach, which also takes into account functional or production-required modifications, is widely used in the mathematical modelling of gear wheels. This approach also can be extended to all gear wheel modifications such as concave, crowning [16], parabolic modifications [17] and [18], non-circular gears [19] and cylindrical gears [20]. The mathematical model of the concave beveloid gears given, and contact simulations have been performed in [21].…”

Eliptik Dişli Tasarımı, İmalatı, Analizi ve Eliptik Dişlilerin Endüstriyel Uygulamaları

“…yönteme göre bölüm elipsinin, hızı ve ivmesinin işleme sürecinde sürekli olduğu ve hataların %90'dan daha fazla azaldığı sonucuna varılmıştır [37]. Jiang Han ve arkadaşları tarafından, dairesel olmayan bir helisel dişlinin azdırma tezgahında imalatı incelenmiş, geliştirilmiş bir azdırma bağlantı modeli üzerine çalışılmış, kinematik simülasyon testi gerçekleştirilmiş, enterpolasyon prosesi analiz edilmiş ve azdırma deneyi yapılmıştır.…”

Linkage model and interpolation analysis of helical non-circular gear hobbing

“…The electronic gearbox is an effective solution for processing non-circular gears [14,15]. In terms of research on the electronic gearbox technology for realizing the hobbing of non-circular gears, this study focuses on creating an electronic gearbox processing scheme [16,17]. However, the interpolation calculation error of the hobbing linkage model itself has been rarely investigated.…”