Abstract
The aim of the paper is to propose an analytical approach to analyze efficiently the load sharing and transmission error of a differential type three-stage planetary gearbox, which is already applied in wind turbines. This approach is extended from a basic analytical model for load sharing analysis of a single planetary stage. The tooth clearances and the transmission errors due to the errors, as well as the mesh stiffness of each contact tooth pair is determined based on the involute properties of gears and the relation of the relative motion. A set of the equations of deformation-displacement for the contact tooth pairs is established with the mesh stiffness and the errors. The equations of torque equilibrium for each planet and for connection components among related stages are also derived considering friction between the tooth flanks. The effects of the errors and the friction on the transmission errors, the external load sharing between the two increasing stages or the internal load sharing within each stage, as well as the efficiency are discussed with a numerical example in the paper.
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More From: The Proceedings of the JSME international conference on motion and power transmissions
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