Would of never thought of doing this if it wasn't for this form.
A couple of rubber bands, and the vibration noise is *voila* -- gone.
Unfortunately, so is my Seagate drive. I think I shorted electronics with the position of the rubberband (I thought it was non-conductive). Ah well, it's only data I need to recover as I have new drives.
Also added foam to reduce the high frequency pitch. My wife says it's quieter. I never argue with her.
I have pics, but seems there is no way of attaching this here.