Rack & Gearbox Pinion
Rack & Gearbox Pinion |
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The dynamics calculations for the Rack & Gearbox Pinion are handled in the exact same way as a Rack & Pinion and a Gearbox. Because the Gearbox-Pinion combination is known and is purchased as one product, and often there is an additional supporting bracket and bearing, the vendor usually allows for a higher rated feed force than if the gearbox and pinion were purchased separately.
Note: As shown in the rack is stationary moving mass formula below, m1 does not include the gearbox mass. This is consistent with the Rack & Pinion mechanism.
| Symbol | Description | Units |
|---|---|---|
| JDM | Inertia of drive mechanism | kg-m2 |
| TDM | Torque of drive mechanism | Nm |
| aDM | Rotational acceleration | rad/s2 |
| h | Efficiency of drive mechanism | 1 |
| q | Incline angle above horizontal | o |
| g | Acceleration due to gravity = 9.81 | m/s2 |
| m | Rack friction coefficient | |
| mLoad | Mass of load + payload | kg |
| mCB | Mass of counterbalance | kg |
| mRack | Mass of rack | kg |
| rPinion | Radius of pinion | m |
| mPinion | Mass of pinion | kg |
| JPinion | Inertia of pinion | kg-m2 |