I noticed that, if my MB is charging whilst plugged into a 4-way adaptor plug (along with other things), such as a lamp, my mobile phone and a heated blanket, this causes the mild vibration on my MB case. I then discovered that unplugging the heated blanket from the 4-way adaptor causes the vibration to instantly stop. Leaving the phone charging and the lamp turned on appears to have no effect on the vibration at all.
So, if you're charging/operating other things/devices from the same adaptor (power source) as you're charging your MB from, then try unplugging these and just leaving the MB to charge form this power source on its own... see if that makes any difference.
It stopped the vibration for me anyway.