This vibration is most likely a combination of two things:
1) Fan spinning
2) Hard drive spinning
And, in both cases, there is really nothing you can do.
While you CAN slow down the fan, that will cause your laptop to overheat and shut down.
You can not slow down the hard drive as it spins at a constant rate.
IF your laptop is still under warranty, you could contact HP Customer Support directly to have them put you in touch with HP Technical Support to see what they can do about troubleshooting your machine remotely.
I did this recently and the HP Tech was able to remotely access my PC from the Internet and do the needed repairs.