I'm not sure this is well expressed, but try to imagine the steps and how it all fits together.

If gluing doesn't work, try this: smack in the middle of the length of the tube, drill two holes, one on each side of the tube, and run a screw into the wood through each hole. You'll then have a wood piece with SS material over it, with screws going through the SS ring into the wood. The screws keep the ring from rotating.

To cut, clamp the whole thing in a lathe. Turn the lathe and cut the far end of the ring so it has a perfect edge. Then move that tool/blade closer to the mounting screws and cut through the SS. That will give you your first ring. Move the blade one step closer to the mounting screws and make another cut: this will give you your second ring. Continue until you've run out of material.