Gear box in mechanical systems
The Gear Box block represents an ideal, nonplanetary, fixed gear ratio gear box. The gear ratio is determined as the ratio of the input shaft angular velocity to that of the output shaft.
The gear box is described with the following equations:
|ω1||Input shaft angular velocity|
|ω2||Output shaft angular velocity|
|T1||Torque on the input shaft|
|T2||Torque on the output shaft|
|P1||Power on the input shaft|
|P2||Power on the output shaft. Notice the minus sign in computing P2. One of the network rules is that the power flowing through a conserving port is positive if it is removed (dissipated) from the circuit, and is negative if the component generates power into the system.|
Connections S and O are mechanical rotational conserving ports associated with the box input and output shaft, respectively. The block positive directions are from S to the reference point and from the reference point to O.