warped CDs - Shanling T100 has a problem

I seem to be having a problem lately with CDs that are less that perfect in my Shanling t100. I've bought a number of CDs recently that have been so warped they rub the bottom plate of the CD mechanism. I've had luck returning a few. Recently I bought a new release from Amazon, as soon as I put it on it would rub, so I exchanged it... and the replacement rubbed. I've also had one that would not turn at all. These all work in chepo players around the house. The vast majority of my CD play fine. Is my shanling broke or is CD quality just that bad.
I've been able to make it work by cutting out a little cardboard disk to put under the CD (to raise it up enough to tolerate the warp.