I too would be interested in whether a "hard" landing instigates any special inspections. By hard landing I mean those hard enough to prompt an apology from the flight deck.
Some years ago I experienced two such landings in the same airframe within two days. Both captains apologised for the bad landing, (different crews, BTW). It made me wonder whether the flight crew reported the fact of the landings to engineering. Also it occurred to me that as it was the same aircraft, whether there was a problem with it and each time it had caught out the PIC. If these things were not reported, this aircraft could have gone on having hard landings until something broke.
I suppose it depends on what is technically a "hard" landing.