1| Due to immense number of SKU's parts and build as well as prebuilt system's around, we'll need you to pass on your full system;s specs or at least the SKU of your system to help us narrow down the components and a possible culprit.
2| How old is your system?
3| If you're under warranty period it'd be best to contact your seller before having us suggest that you should open the side panel and inspect for a culprit.
What was the last thing you were doing prior to this issue? A system that vibrates quietly can indicate a case fan or a PSU fan or the HDD. System's like the Dell OptiPlex have a couple of fail safe options built in which can indicate a faulty component.