2013 3500 diesel pickuo

It is called "launch shudder" and all of the Big 3 trucks are prone to it. No, not everyone of them does it, but a lot of them do. Both of my two diesels have had it but it is easily remedied. If it is worse when loaded say, with the weight of a fifth wheel, then you have it. Most easily cured by adding air bags to the vehicle. I know, I know, that's the reason you bought a 350/3500 to begin with is to be able to tow whatever you wanted to! The shudder comes from changing the pinion/drive shaft angle of the rear end. It has been widely documented among all 3 manufacturers as I said. Another way to fix it is to shim the rear end, however that makes it worse when unloaded. I have Firestone Ride-Rites on my dually and an onboard compressor so I can adjust on the fly. Both of my trucks were cured by using the bags as the pinion angle doesn't change as much.