Q: ipod shuffle 4g shut down automaticaly  on until charged, even fully charged

The first thing you should do is make sure the headphones are plugged all the way in, meaning the white part of the headset is flush with the body of the Shuffle and no silver from the plug can still be seen.

It wouldn't hurt to also reset the Shuffle.

Resetting iPod shuffle

B-rock

I'm not sure I quite understand what the problem is. :S

B-rock