I just picked up my 2015 Silverdado 1500 LT 4X4 the other day. I absolutely loved it. Until I got it above 50mph and the shaking started. At 63mph the shaking was unbearable. I found this forum and started reading. After 32 pages I started to panic. I downloaded the vibration app mentioned earlier in this thread and began investigating. The worst vibration was being recorded at just over 800rpm, the speed my 20" wheels are spinning when traveling between 60-65mph. Long story short. The dealer discovered that both rear tires were no good. One had a broken bead and sidewall bulge that occurred during installation at the factory. One was calling for 12oz of weight when road force balanced. 12oz!!! Lol. After those two tires were replaced and all four tires road balanced?...smooth as glass at all speeds. I'm very relieved and very happy. I love this truck. Very quiet, very smooth, very comfortable and great on gas. Now I just need some running boards and a bed cover.
I should mention that my tires are Continental not Goodyear.