I wouldn't change up in my diesel car at 2000 revs and although these new petrol turbos seem to have low down torque I'd still expect them to need more that 3000 revs before changing up.

I'm not familiar with modern petrol engines, but as a general rule it's best to run an engine somewhere near the torque peak on its rev. curve. For a diesel this is somewhere about 1800-2000 rpm, but for a petrol it's a good bit higher. In 'the old days' it wasn't a good idea to ask a petrol engine to pull at low revs, but that has changed with electronics. My personal opinion is that it still isn't such a good idea - so you need to trace the source of the vibration.