I tried a few things and came up with this trim to solve the floppy edges problem. The trim is simply a row with the rings on top instead of below. This makes everyting tight and not floppy. This ring is made of 494 rings.
For me it holds up fine, but I do not do a lot of physical work. The strength comes from the number of connections so that no one ring takes all the load.
I closed it using this tutorial: http://cgmaille.com/tutorials/joindscale.shtml