Planetary gearbox

		| C |
in the palette	on the schematic

The block is designed to simulate a planetary gearbox having a constant gear ratio and constant efficiency. The kinematic diagram of the gearbox is shown in the figure (Figure 1).

The block is described by the following kinematic relation:

To meet the requirement of the kinematic ratio, the block solves the coupling equation. A detailed description of the approach for the the gear (speed) ratios simulation is given on the page Simulating transmission. A detailed description of the approach for simulation losses in the gearing is given on the page Gearbox efficiency simulation.

The gear ratio of the gearbox from the sun S to the carrier CU_SC with the fixed ring gear R is determined by the formula:

The gear ratio of the gearbox from the ring gear R to the carrier CU_RC with the fixed sun gear S is determined by the formula:

The number of teeth of the planet gears Z_P and the number of planet gears N_P are taken into account only when checking the so-called conditions of the "assembly" of the gearbox and the conditions of the "neighborhood" of the planet gears.

The block allows you to calculate automatically the number of teeth in the gearbox elements according to a given gear ratio. When calculating the number of teeth automatically, a number of block properties go to "Read-only" mode and display the calculated number of teeth.

A block is a submodel that includes blocks (Figure 2):

• The block Inertia-free rotary element simulates the rotation of zero inertia planet gears
• The blocks Planetary gear Sun-Planet and Planetary gear Ring-Planet simulate the gear meshing of the gearbox

Next to the block, the gear ratio of the gearbox from the sun gear S to the carrier CU_SC is displayed.