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Dynamic model of planetary gearbox with four satellites and standing planet carrier
 Hortel, Milan ; Škuderová, Alena
The precised mathematical and physical weakly and strongly nonlinear parametric dynamic model pseudoplanetary transmission system with kinematic couplings, ie. four satellites with front straight toothing and standing planet carrier (model Wikov type PP) with 28 degrees of freedom was compiled within the project TAČR TA04011656 follow-up to previous research reports Z-1512/14, Z-1521/14, Z-1537/15. Model respects both elastic supports of all gears and by means Heaviside functions possible contact bounces of meshing gear profiles in the area of the lateral tooth clearances. There are a impact effects upon re-contact of tooth flanks both in normal and during the eventual inverse gear meshes, depending on the size of dynamic forces in gearing. Based on the explicit expression of Lagrange equations of this model, the simulation model of transmission system is prepared in MATLAB / Simulink.
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