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	Analysis of grazing collision characteristics of non-orthogonal face gear transmission system

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (5) : 1-11.

VIBRATION AND MECHANICS SCIENCE

Analysis of grazing collision characteristics of non-orthogonal face gear transmission system

GAO Jianshe1, WU Jiabao1, WU Luji2, YANG Linjie2, RAO Xiaobo*1

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Abstract

Here, in order to deeply investigate phenomenon of grazing collision in non-orthogonal face gear transmission system, a dynamic model of non-orthogonal face gear transmission system considering multiple strong nonlinear factors was constructed by dividing phase space into three parts with tooth face collision surface and tooth back collision surface as interfaces.Position Poincaré maps at two interfaces were established, and conditions for grazing bifurcation were calculated.Then, periodic variation diagram and phase diagram of meshing force were combined to find grazing bifurcation point, and solve Floquet multiplier near bifurcation point.By analyzing effects of grazing bifurcation on system dynamic behavior, grazing collision characteristics were revealed.Finally, the software Adams was used for simulation verification.The study showed that grazing collision can cause changes in impact state of gear system, but usually can’t affect motion state of gear system; when grazing bifurcation and period-doubling bifurcation occur simultaneously, gear system can have codimension-two grazing bifurcation; this moment, grazing collision can cause changes in both system’s motion state and impact state; the results can provide a theoretical basis for improving the reliability and service life of face gear transmission systems in engineering.

Key words

grazing collision / grazing bifurcation / non-smooth system / face gear / impact

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GAO Jianshe1, WU Jiabao1, WU Luji2, YANG Linjie2, RAO Xiaobo1.

Analysis of grazing collision characteristics of non-orthogonal face gear transmission system [J].

Journal of Vibration and Shock, 2025, 44(5): 1-11

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