A linkage model and applications of hobbing non-circular helical gears with axial shift of hob

Xia, Lian; Liu, Youyu; Li, Dazhu; Han, Jiang

doi:10.1016/j.mechmachtheory.2013.07.002

Cited by 28 publications

(14 citation statements)

References 16 publications

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“…xialian@hfut.edu.cn team [12,13] also built practical linkage model for noncircular gear machining. However, all of the existing hobbing and shaping machining methods adopt discrete processing mode based on the algorithms of equal arc length or equal rotate angle.…”

Section: And Lian Xiamentioning

confidence: 99%

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

Han

Zhu

et al. 2017

J Braz. Soc. Mech. Sci. Eng.

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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.

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Section: And Lian Xiamentioning

confidence: 99%

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

Han

Zhu

et al. 2017

J Braz. Soc. Mech. Sci. Eng.

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“…Consequently, two fundamental linkage-models can be constructed from equations (6), (11), (12), and (14), or equations (6), (11), (12), and (19).…”

Section: Linkage-models In Vertical Directionmentioning

confidence: 99%

“…9 The machining methods mentioned have largely restricted the spread and application of noncircular gears for several puzzles such as instability of precision and low productivity. Along with the development of modern numerical control (NC) technology, several experts have some work on the exploration of NC hobbing for non-circular gears, [10][11][12] which have greatly raised the machining accuracy and production efficiency. Gear hobbing, however, cannot be applied to such gears with concave pitch curves.…”

Section: Introductionmentioning

confidence: 99%

Study of optimal strategy and linkage-model for external non-circular helical gears shaping

Liu

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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As an efficient manufacturing method for gears, shaping technology developed for non-circular helical gears will greatly break through the dilemma of their applications; especially for those gears with part of pitch curves being concave, being not able to be hobbed. Two fundamental linkage-models for external non-circular helical gears were built based on the meshing theory of non-circular gears in this article. According to four linkage methods in plane and two kinds of additional rotation in vertical direction, eight shaping strategies and their practical linkage-models (1)-(8) were developed. Taking a three-order elliptic helical gear as an example, the kinematic characteristics of the eight practical linkagemodels were analyzed, which reveals that equal arc-length of gear billet (models (3) and (4)) have the highest accuracy under a given efficiency. The dynamic characteristics of models (3) and (4) were analyzed, which shows that model (4) (equal arc-length of gear billet and additional rotation on shaper cutter) is better in performance, and is an optimal one. The optimal linkage-model was demonstrated to be valid by a virtual shaping, and be able to shape those non-circular helical gears with part of pitch curves being concave. Moreover, the accuracy among every gear tooth is uniform. The theory developed and the results of the virtual shaping were illustrated with a shaping experiment. The train of thought and the results will be useful for any external non-circular helical gears with free pitch curves.

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“…Litvin et al [10] and Tan et al [11] studied the relation of the motion model, rack cutter, and non-circular gear; however, these models do not consider the three-dimensional motion relation between a hob and gear blank. Hu et al [12] and Xia et al [13] studied the linkage model for hobbing helical non-circular gears. However, the aforementioned models only consider the additional rotation of the gear-blank rotary axis or the hob rotary axis when dealing with the additional motion generated by the axial feed motion of the hob.…”

Section: Introductionmentioning

confidence: 99%

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

Han

Tian

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The design flexibility and transmission stability of the non-circular gears can be improved using the helical tooth scheme. Herein, a linkage model was derived for hobbing the helical non-circular gears based on the influence of the axial feed motion of the hob on the motion of the projecting rack on the gear-blank end face. This axial feed motion produces additional motion effects on the rotary axis of the gear-blank and the moving axis of the hob. Further, the accuracy of the linkage model was verified by kinematic simulations. The global convergence characteristics of the transcendental equation used for obtaining the polar angle of the pitch curve were ascertained to derive the interpolation calculation process for the linkage model-based electronic gearbox. The cause of cumulative error during the multi-turn hobbing process of the gear blank was analyzed. The error accumulation was effectively controlled by optimizing the interpolation algorithm. The hobbing experiments and meshing transmission test were conducted using the self-developed non-circular gear hobbing system to verify the effectiveness of the linkage model and interpolation algorithm.

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A linkage model and applications of hobbing non-circular helical gears with axial shift of hob

Cited by 28 publications

References 16 publications

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

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

Study of optimal strategy and linkage-model for external non-circular helical gears shaping

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

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