When I started my car a few months ago it would make two thumps in quick succession which would cause vibrations near the right side of the driver foot well area from what I could tell.

Drove the car a few months the thumps never happened.

Got new tires yesterday and tried starting the car. Made thump noises, turned engine on/off 4 times and thumped twice each time in same area.

Drove car home about 5 minutes away. Tried starting engine and no more thumps happened once home.

No problems whatsoever while driving around though. Only happens on engine start.

Any idea what causes this thumping?