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

摘要

Ravigneaux planetary gear sets are widely applied in automotive, national defense, shipbuilding industry, etc.In thispaper, orthogonal experiment method and variance analysis are utilized, to quantitatively analyze the influence of threetypical transmission errors on the load sharing behaviour of Ravigneaux planetary gear sets. A 30 DOF translationaltorsionalcoupling dynamic model of Ravigneaux planetary gear sets has been derived. Both qualitative and quantitativeanalysis indicate that load sharing coefficients of different meshing pairs are sensitive to different kinds of errors. As aresult, key errors and key members which affect load sharing behaviour most are found out: the position error of shortplanetary gear, the installation error of small ring gear, and the eccentric error of sun gear. At the end, several fittingformulas are innovatively proposed in order to obtain load sharing coefficient, the results of proposed fitting formulasshow great consistency with the calculation results of software Maple.