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Research on machining nonorthogonal face gears by power skiving with tooth flank modification based on a six-axis machine tool

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Abstract

To solve the manufacturing difficulties of nonorthogonal face gears, an efficient gear machining method, referred to as power skiving, is proposed. The machining principle of power skiving and the relative position between the cutter tool and the workpiece were analyzed. Then, a mathematical model of machining nonorthogonal face gears by power skiving was established, and the tooth flank equation was obtained. The installation and movement mode of nonorthogonal face gears on a six-axis machine tool were analyzed, and the machining parameters were calculated precisely. A method of tooth flank modification by changing the machining parameters on the six-axis machine tool was presented. The meshing performance of the obtained nonorthogonal face gear was analyzed with an example. Finally, the processing test and the tooth flank measurement were carried out. The experimental results show that a nonorthogonal face gear can be machined and modified by power skiving on the proposed six-axis machine tool.

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Funding

This research is supported by the National Natural Science Foundation of China (Grant No. 51975185 and No. 52005157) and China Postdoctoral Science Foundation (No. 2021M690051).

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Correspondence to Deng Xiaozhong.

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Appendix

Appendix

$${\varvec{M}}_{1c} = \left[ {\begin{array}{*{20}c} {\cos \varphi_{c} } & {\sin \varphi_{c} } & 0 & 0 \\ { - \sin \varphi_{c} } & {\cos \varphi_{c} } & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ \end{array} } \; \right]{\varvec{M}}_{21} = \left[ {\begin{array}{*{20}c} 1 & 0 & 0 & 0 \\ 0 & {\cos \beta_{c} } & { - \sin \beta_{c} } & 0 \\ 0 & {\sin \beta_{c} } & {\cos \beta_{c} } & 0 \\ 0 & 0 & 0 & 1 \\ \end{array} } \right]$$
$${\varvec{M}}_{32} = \left[ {\begin{array}{*{20}c} {\sin \Sigma } & 0 & {\cos \Sigma } & 0 \\ 0 & 1 & 0 & 0 \\ { - \cos \Sigma } & 0 & {\sin \Sigma } & 0 \\ 0 & 0 & 0 & 1 \\ \end{array} } \; \right]{\varvec{M}}_{43} = \left[ {\begin{array}{*{20}c} 1 & 0 & 0 & {a_{2} } \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & {a_{1} } \\ 0 & 0 & 0 & 1 \\ \end{array} } \right]$$
$${\varvec{M}}_{f4} = \left[ {\begin{array}{*{20}c} 1 & 0 & 0 & 0 \\ 0 & {\cos \varphi_{f} } & {\sin \varphi_{f} } & 0 \\ 0 & { - \sin \varphi_{f} } & {\cos \varphi_{f} } & 0 \\ 0 & 0 & 0 & 1 \\ \end{array} } \right]$$

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Zhengyang, H., Chuang, J. & Xiaozhong, D. Research on machining nonorthogonal face gears by power skiving with tooth flank modification based on a six-axis machine tool. Int J Adv Manuf Technol 121, 2735–2746 (2022). https://doi.org/10.1007/s00170-022-09427-2

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