Nonlinear dynamic analysis of the planetary row of a heavy-duty hydraulic automatic transmission
A nonlinear pure torsional dynamic model of a planetary gear transmission system in a specific gear position of a heavy-duty hydraulic automatic transmission was developed.This gear mode demonstrates a fully compound relationship between the plantary rows.The dynamic model synthetically considers the internal excitation factors of the system,such as the time-varying meshing stiffness,the tooth side clearance and the meshing error amplitude.On the basis of which the dimensional-dynamic e-quation of the system in generalized coordinates was derived.The fourth-order Runge-Kutta method was used to solve the nonlin-ear differential equation system,and the nonlinear dynamic response of the system was obtained.A combination of time-domain response,frequency-domain response,phase-space trajectory,system bifurcation,and Poincare cross-section was used to inves-tigate the relationship between the specific input speed and the system response,resulting in a reasonable speed for the gear.The response differences between the planetary rows at different levels caused by the composite structure were studied.It is found that a single planetary row can affect or even determine the response of the whole transmission system,which can be used to guide the production and reduce the production cost.
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