This example shows a five-speed transmission with a reverse gear. An engine spins the layshaft and the six sets of output gears. To engage the selected gear, ideal actuators move the selector levers connected to the double-sided synchronizers. The position of the selector levers determines which gears are connected to the output shaft.
The plot below shows the shaft speeds for the engine, load, and intermediate gears. As the transmission shifts between the gears, the load speed matches the speed of different gears in the transmission. When the reverse gear is engaged, the speed of the output shaft is negative.
The plot below shows the selector lever positions for each of the double-sided synchronizers. Their positions dictate which of the gears are engaged and determines the gear ratio for the transmission.