I have been reading all the posts and have found all the info very helpful as I have a 2014 Sierra with the same vibration that most of you have. I have 2000 miles on the truck now got it with 26 miles . Started feeling this with around 580 miles have brought to dealer several times. They have balanced the tires, they have sent out to have tires road forced balanced both did not correct the vibration. They said might be bad tires or rim( good year 20" and polished Crome rims) they said let's try a different set. I said lets get gm involved . On 1/31/14 I meet and went for a ride with gm service rep and sales manger from dealership ,both agreed that my truck has a vibration . With my truck I can feel vibration at 5- 90 mph. 5-30 not that bad but there,35-55 bad on seats front pass, steering wheel and rear seats 65-80 more in steering wheel but still though out truck. Gm rep had a gm engineer come with a vibration analyzer on 2/10/14 to my dealership . Hooked up this computer with a bunch of sensors that gage the vibration. Worked on truck for six hour , checked balance of driveshaft that was good put two different sets of tires on vibration still there with both sets of tires ( one GY one Bridgestone ) stop at dealership after work for update and was able to talk with engineer who told me that it's my rear end that American axle manufactured said lots of problems with trucks with 308 gears.that gm will not be putting 308 in the fifteens only 342 . So he ordered a new one that has been spec out by gm. The dealership received a complete rear end caliper and rotors that they will be installing tommorrow with the gm engineer coming to make sure all is correct on Friday So that's where I stand as of tonight. I will post the outcome as soon as possible. I think gm needs to get involved sooner than later they know these problem are out there don't let your dealership throw parts and tires at your 45,000- 50,000 $ truck . Told gm that if this vibration is still there they can buy the truck back for FULL selling price or will pursue the lemon law.
Good luck to all have these issues and thank you all for your input.