Calculation method of time-varying meshing stiffness of herringbone gear pair with tooth profile modification

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (9) : 175-183.

LIN Tengjiao, CHEN Menghan, YANG Jin

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Abstract

In order to accurately calculate the meshing stiffness of a herringbone gear pair considering tooth profile modification and load deformation, the tooth surface equation of herringbone gear with tooth crest and tooth root modification was derived.Based on the potential energy method and numerical integration formula, an accurate calculation method for herringbone gear meshing stiffness considering tooth profile modification parameters and undercut width was proposed, and the correctness of the algorithm was verified by finite element simulation analysis.Effects of undercut width, modification parameters and input torque on the coincidence degree and meshing stiffness of herringbone gear pair were analyzed.The results showed that the meshing stiffness of herringbone gear pair increases with increase in width of undercut while the tooth width of single helical gear remains unchanged; with increase in modification amount and length, the coincidence degree and meshing stiffness decrease, while with increase in the order of modification curve, the coincidence degree and meshing stiffness increase, but when the order of modification curve is higher than the 4-order, the meshing stiffness changes little; when the input torque increases, the coincidence degree and meshing stiffness firstly increase and then keep unchanged.

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herringbone gear / profile modification / time-varying mesh stiffness / potential energy method

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LIN Tengjiao, CHEN Menghan, YANG Jin. Calculation method of time-varying meshing stiffness of herringbone gear pair with tooth profile modification[J]. Journal of Vibration and Shock, 2021, 40(9): 175-183

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