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Mathematical model of planetary roller-tooth reduction gears

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Conclusion

This mathematical model of an ideal planetary pin (roller-tooth) reduction gear can be used to calculate at the planning stage how the dynamic transmission parameters are affected by meshing rigidity along the satellite profile, by deformation of the satellite under applied forces, by the presence and the nonuniformity of gaps in the meshing, and by manufacturing tolerances in the transmission. Calculations of a non-ideal transmission indicate that the transmission loads are affected significantly by manufacturing tolerances: the acting forces grow by a factor of 2.4 and the contact stresses grow by 65%, as compared to an ideal transmission. Also, universal recommendations were obtained on the optimum meshing parameters: m =0.5–0.9 and q=(0.5–0.6)ρmin.

These results allow a more accurate and substantiated solution to the design of planetary pin reduction gears with epicycloidal meshing.

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Authors
  1. Yu. K. Taldenko
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Translated from Khimicheskoe i Neftyanoe Mashinostroenie, No. 4, pp. 1–6, April, 1994.

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Taldenko, Y.K. Mathematical model of planetary roller-tooth reduction gears. Chem Petrol Eng 30, 145–153 (1994). https://doi.org/10.1007/BF01149777

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  • DOI: https://doi.org/10.1007/BF01149777

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