At about the same time as the Thump, loosen the gas cap and see if the tank is pressurized, or under vacuum. You may have a problem with the vapor recovery system. I had a situation where the vapor line restrictor was clogged, resulting in a pressurized gas tank. Do you have a very trusting friend that is willing to lie under the car and listen for the "Thump"?? No doubt a true test of friendship, an alternate would be a mother-in-law.
Perry Toledo,Ohio
Or, it could just be the exhaust pipe expanding and shifting.