IMHO when diagnosing a sticking actuator, the first thing to determine is; DOES THE ACTUATOR MOTOR RUN? Yes I’m yelling, because it’s important! This applies to all of the actuators CDL and axle.
To test, turn the key to run, engine off, get under the rig near the actuator, have a helper run the switch or shifter, each time the switch position is changed you should hear the actuator motor run for a second or so and stop.
If the motor runs correctly, the chances of ruining it are slim. Feel free to try all of the tricks to break it loose, tap on it, drive in circles, on dirt, on pavement, jack it up and turn the shafts or any other “Mud voodoo”. But even if it does break free, chances are good that it still has at minimum dry hardened grease and most likely rust in it, will operate more slowly and be prone to sticking again.
If the motor doesn’t run, you have one of two problems, continuing to “exercise” it can ruin the windings in the motor. It’s ether a bound motor or an electrical problem. If you need to drive it before finding the problem I would ether pull the fuse or unplug the actuator. If it’s stuck open and your in low, stuck locked and your in high or stuck somewhere in between, the system will apply power to the motor, for as long as the key is on, trying to move it and can burn up the windings without even blowing the fuse.
I look at the actuator as two halves, the motor section (in red) and the shift section (green in the pic). When actuated the motor runs and winds up the center spiral spring, then when the gear teeth are aligned the spring shifts the fork. If it’s stuck in the motor section you risk damage, If it’s stuck in the shift part you don’t.