Epicyclic Train Example | ||||||||||||||||||||||||||||

We use the method introduced in Epicyclic Ratio Calculation for determining the final gear ratio of an epicyclic gear train. This method is extremely methodical, which is appropriate since use of intuition is quite futile with an epicyclic gear train such as the following example. A plan view of the epicyclic gear train arrangement
A 3D view of the epicyclic gear train arrangement
Unlike the previous section, however, we begin by giving the ARM one positive turn (instead of the entire assembly one positive turn). The technique is to choose an arbitrary rotation in which gear movements are intuitively obvious. Some iteration may be required to determine an appropriate set of gear movements to obtain the overall gear ratio.
| ||||||||||||||||||||||||||||

| ||||||||||||||||||||||||||||

We now must calculate the effects of the second row action. The rotation response of the gears to giving C one negative (CW) turn is determined as follows: The ARM is stationary: Gear A turns are calculated as follows. The negative sign is a result of A and B being external gears. Gear B turns are calculated as follows. Gear D turns are the same as those for Gear B. Gear E turns are calculated as follows.
| ||||||||||||||||||||||||||||

| ||||||||||||||||||||||||||||

The overall ratio of the epicyclic gear train can be derived from the last row, as with the previous example. |