Influence of transmission errors to load sharing behaviour in Ravigneaux planetary gear sets

Ravigneaux planetary gear sets are widely applied in automotive, national defense, shipbuilding industry, etc.In this paper, orthogonal experiment method and variance analysis are utilized, to quantitatively analyze the influence of three typical transmission errors on the load sharing behaviour of Ravigneaux planetary gear sets. A 30 DOF translational-torsional coupling dynamic model of Ravigneaux planetary gear sets has been derived. Both qualitative and quantitative analysis indicate that load sharing coefficients of different meshing pairs are sensitive to different kinds of errors. As a result, key errors and key members which affect load sharing behaviour most are found out: the position error of short planetary gear, the installation error of small ring gear, and the eccentric error of sun gear. At the end, several fitting formulas are innovatively proposed in order to obtain load sharing coefficient, the results of proposed fitting formulas show great consistency with the calculation results of software Maple.

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