Q: My computer is gone(the one I started with my shuffle). Now, when I connect my shuffle to other computers, nothing happens. Does my shuffle still works?

Is the latest iTunes installed on the other computers?

For one of those other computers, is it a Windows PC or a Mac, and what version of OS?  What model iPod shuffle?  You can see the four types in the article about syncing the shuffle

http://support.apple.com/kb/HT1719

I would first try shutting down the computer and disconnecting all USB devices, including hub.  Use this procedure to reset the shuffle

http://support.apple.com/kb/HT1655

Start up computer, with only standard keyboard and mouse connected (if it's not a laptop).  Run iTunes.  Connect shuffle to a direct USB port on computer.