Alienware Alpha Fan Loud and Vibrating

About a week ago, my Alienware Alpha has been vibrating like mad. It also makes a moderately audible noise which I can always hear, even with headphones on. I've noticed that the vibrating coming from the Alpha is around where the GPU fan is. I opened up the case and started the Alpha, and upon booting up into Windows the GPU fan was still vibrating and making a noise.

Video of the noise it makes: www.youtube.com/watch

Also: If I do a somewhat heavy tap onto the left side of the Alpha, the noise and vibrations stop for a random amount of time.