Soundproofing a small generator?

As I said, I keep the generator on the deck. I use a 12" Kryptonite U-lock around one of the 4x4 roof support posts, and with the loop of 7-foot Kryptonite cable on one of ‘U’ of the lock. The other loop of the cable is connected to another 7-foot cable with a Kryptonite round padlock. The other end of that cable goes around the frame of the generator, and is secured by a lock that is of similar construction to a Master lock, only is larger.
I think the set-up would keep a casual thief honest, and it allows me to move the generator around on the deck.