The Andra 30 rims have no eyelets, and the edges of the spoke holes can be sharp, but a good rim tape should cover them off well. Check for burrs on the holes.
From your description, it sounds like you might be getting pinch flats along the bead, or have a tiny sliver of something sharp trapped in the rim. But the wear you describe could only be caused by movement of the tube within the rim. Is this possible with the pressures you're using?
I presume you're using a good quality tyre and tube, and that the tube is the correct size for the job?